Springer Series in SOLID-STATE SCIENCES. Springer-Verlag Berlin Heidelberg GmbH

Size: px
Start display at page:

Download "Springer Series in SOLID-STATE SCIENCES. Springer-Verlag Berlin Heidelberg GmbH"

Transcription

1 Springer Series in SOLID-STATE SCIENCES 128 Springer-Verlag Berlin Heidelberg GmbH

2 Springer Series in SOLID-STATE SCIENCES Series Editors: M. Cardona P. Fulde K. von Klitzing R. Merlin H.-J. Queisser H. Stormer 126 Physical Properties of Quasicrystals Editor: Z.M. Stadnik 127 Positron Annihilation in Semiconductors Defect Studies By R. Krause-Rehberg and H.S. Leipner 128 Magneto-Optics Editors: S. Sugano and N. Kojima 129 Computational Materials Science From Ab Initio to Monte Carlo Methods By K. Ohno, K. Esfarjani, andy. Kawazoe 130 Contact, Adhesion and Rupture of Elastic Solids By D. Maugis Volumes are listed at the end of the book.

3 S. Sugano N. Kojima (Eds.) Magneto-Optics With 237 Figures and 17 Tables " Springer

4 Prof. emer. Dr. Satoru Sugano Ageya, Nagano , Japan Prof. Dr. Norimichi Kojima Graduate School of Arts and Sciences, The University of Tokyo Komaba, Meguro-ku, Tokyo , Japan Series Editors: Professor Dr., Dres. h. c. Manuel Cardona Professor Dr., Dres. h. c. Peter Fulde* Professor Dr., Dres. h. c. Klaus von Klitzing Professor Dr., Dres. h. c. Hans-Joachim Queisser Max-Planck-Institut fiir Festkorperforschung, Heisenbergstrasse 1, D Stuttgart, Germany * Max-Planck-Institut fiir Physik komplexer Systeme, Nothnitzer Strasse 38 D Dresden, Germany Professor Dr. Roberto Merlin Department of Physics, 5000 East University, University of Michigan Ann Arbor, MI , USA Professor Dr. Horst Stormer Dept. Phys. and Dept. Appl. Physics, Columbia University, New York, NY and Bell Labs., Lucent Technologies, Murray Hill, NJ 07974, USA ISSN ISBN Library of Congress Cataloging-in-Publication Data applied for Die Deutsche Bibliothek- CIP-Einheitsaufnahme Sugano, Satoru: Magneto optics : with 17 tables I S. Sugano ; N. Kojima. (Springer series in solid-state sciences; 128) ISBN ISBN (ebook) DOl / This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag. Violations are liable for prosecution under the German Copyright Law. Springer-Verlag Berlin Heidelberg 2000 Originally published by Springer-Verlag Berlin Heidelberg New York in 2000 Softcover reprint of the hardcover 1st edition 2000 The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Typesetting: camera-ready copies by the authors Cover concept: estudio Calamar Steinen Cover production: design & production GmbH, Heidelberg SPIN: / o- Printed on acid-free paper

5 Preface This book is designed to provide graduate students and research beginners with an introductory review of recent developments in the field of microscopic magneto-optics. The field contains the most important subjects in solid state physics, chemical physics, and electronic engineering. Microscopic studies of magneto-optics stem from those of ligand-field spectra of paramagnetic ions in solids and liquids, which are also well known to have brought developments in material research for solid-state lasers. As the introductory chapter of this monograph, Chap. 1 deals with the fundamental properties of ligand-field spectra in useful solids. Chapter 2 is on elementary excitations such as magnons and excitons in magnetically ordered crystals, a central aspect of recent developments in microscopic magnetooptics. Chapter 3 concerns Raman spectroscopy accompanying magnetic excitations of high energies in strongly correlated electron systems, which are related to high Tc superconductors. Chapter 4 is on recent developments in the studies of non-linear optical effects, citing experiments for Cr203 and describing a microscopic theory for its second harmonic generation. In Chap. 5, after introducing a phenomenological theory of the Faraday and Kerr effects, we present a microscopic theory based on the ligand-field theory and discuss the future developments. Chapter 6 concerns diluted magnetic semiconductors, discussing formation, magnetic properties, and quantum confinement effects of magnetic polarons. Chapter 7 is also on diluted magnetic semiconductors, emphasizing the importance in growing new magnetic semiconductors and in studying their remarkable magneto-optical properties. Chapter 8 discusses "photo-induced magnetism", which is completely different from "photo-thermal magnetism" used in an optical magnetic memory device. The last chapter, Chap. 9, is devoted to subjects relevant for the applications of magneto-optical effects. In particular, various technologies for high density magneto-optical recording are discussed. Finally an appendix on the "magnetic space-group and its application" is provided to help readers understand magneto-optics from the group-theoretical point of view. In spite of the importance of the field, only one book on magneto-optics has been published in the last decade of the 20th century. It is the book "Modern Magneto-Optics and Magneto-Optical Materials" by A.K. Zvezdin and V.A. Kotov. That book aims at a comprehensive survey of a broad area of magneto-optics. In contrast, our book is focused on selected topics which are new and of fundamental importance. In particular, the description in the present monograph is expected to be more microscopic (quantum-mechanical) rather than phenomenological as compared with Zvezdin and Kotov's book. The publication of this book was planned by the following people on the occasion of organizing "The Second Sugano Symposium on Magnetism and

6 VI Preface Spectroscopy": they are A. Fujimori, A. Misu, K. Sato, K. Tsushima and T. Yamaguchi. We are indebted to these members for suggesting the contents and recommending authors for each chapter. It should be remarked that the present book is not the proceedings of the symposium but a monograph designed, as mentioned at the beginning of this preface, for pedagogical purposes: the symposium has been established to attract and stimulate the interest of young researchers. Finally we would like to express our sincere thanks to Dr. C. Ascheron, Physics Editor, at Springer-Verlag for supporting the publication of this monograph. Nagano, Tokyo, August 1999 S. Sugano N. Kojima Acknowledgements The authors are indebted to the following publishers and societies for granting permission to use, in the present edition, figures from the cited references: American Institute of Physics (J. Appl. Phys. and Appl. Phys. Lett.); The American Physical Society {Phys. Rev. and Phys. Rev. Lett.); The American Electrochemical Society (J. Electrochem. Soc.); W. A. Benjamin; Elsevier Science Ltd. (J. Magn. Magn. Mater., Physica B, Prog. Cryst. Growth and Charact. of Mater., J. Luminescence and J. Cryst. Growth); Gordon and Breach Science Publisher (Nonlinear Optics); The Institute of Electrical and Electronics Engineers, Inc. (IEEE Trans. Magn. and Proc. IEEE); The Japan Society of Applied Physics (Jpn. J. Appl. Phys.); The Magnetics Society of Japan (J. Magn. Soc. Jpn.); Material Research Society (USA); Mar.uzen Co.; Optical Society of America (Appl. Opt., Optics Lett. and J. Opt. Soc. Amer.); Pergamon Press (Mat. Res. Bull. and J. Phys. Chern. Solids); The Physical Society of Japan (J. Phys. Soc. Jpn.); D. Reidel Publishing Co.; World Scientific Publishing Co.

7 Contents 1 Spectroscopy and Optical Applications of Rare-Earth- and Transition-Metal-Doped Materials T. Kushida 1.1 Introduction Optical Spectra of Rare-Earth and Transition-Metal Ions in Solids Solid-State Laser Materials Long-Lasting Phosphorescent Phosphors and Photostimulable Phosphors Persistent Spectral Hole-Burning References Elementary Excitations in Magnetically Ordered Materials N. Kojima 2.1 Introduction Double Excitations in Spin Cluster System Cooperative Excitations in the Magnetically Ordered State Exotic Elementary Excitations in Frustrated Spin System Exciton Dynamics in Magnetically Ordered State References Raman Spectroscopy of Magnetic Compounds with Strong Electron-Correlation S. Sugai 3.1 Strongly Correlated Electron System Raman Scattering Raman Scattering in Two-Leg Spin Ladders Sr14-x-yCax Y ycu References Nonlinear Optics of Antiferromagnetic Compounds Y. Tanabe, M. Fiebig, E. Hanamura 4.1 Introduction Macroscopic Theory of the Nonlinear Susceptibilities Microscopic Theory of the Nonlinear Susceptibilities Comparison with Experiments Discussion and Future Problems References

8 VIII Contents 5 Faraday and Kerr Effects in Ferromagnets K. Shinagawa 5.1 Introduction Faraday and Kerr Effects Kerr Rotation in Ferromagnetic CrBra Faraday Rotation in Magnetic Garnets Summary and Outlook References Addenda Magnetic Polarons in Diluted Magnetic Semiconductors S. Takeyama 6.1 Introduction Bound Magnetic Polarons Formation Mechanism of Magnetic Polarons Localized Magnetic Polarons Optical Detection of Free Magnetic Polarpns Two-Dimensional Exciton Magnetic Polarons Summary References Magneto-Optics of Diluted Magnetic Semiconductors: New Materials and Applications K. Ando 7.1 Introduction sp-d Exchange Interactions and Magneto-Optics Cdl-xMnx Te: A Prototype Diluted Magnetic Semiconductor Magneto-Optics of New Diluted Magnetic Semiconductors Magneto-Optic Applications of Diluted Magnetic Semiconductors Conclusion References Optical Control of Magnetic Properties in Molecule-Based Magnets S. Ohkoshi, K. Hashimoto 8.1 Introduction Molecule-Based Magnet Magnetism of Prussian Blue Analogs Mixed Ferro-Ferrimagnetism Photomagnetism Photo-Induced Magnetic Pole Inversion Conclusion References

9 Contents IX 9 Magneto-Optical Recording M. Kaneko 9.1 Review of Magneto-Optical Disks Manufacturing of Optical Disks Readout of Signals from an Optical Disk Magnetic Material for Thermo-Magnetic Recording Recording on Magneto-Optical Disks Magneto-Optical Effect in Readout from Magneto-Optical Disk High-Density Magneto-Optical Recording References A Appendix: The Magnetic Space-Group and Its Applications S. Sugano A.1 Non-Unitary Group A.2 Co-Representation A.3 Wigner Test A.4 Applications to Spectroscopy References Index

Springer Series in Solid-State Sciences. Edited by Peter Fulde

Springer Series in Solid-State Sciences. Edited by Peter Fulde 7 Springer Series in Solid-State Sciences Edited by Peter Fulde Springer Series in Solid-State Sciences Editors: M. Cardona P. Fulde H.-J. Queisser Volume 1 Principles of Magnetic Resonance By C. P. Slichter

More information

Springer-Verlag Berlin Heidelberg GmbH

Springer-Verlag Berlin Heidelberg GmbH Springer Series in SOLID-STATE SCIENCES 141 Springer-Verlag Berlin Heidelberg GmbH Physics and Astronomy ONLINE LIBRARY springeronline.com Springer Series in SOLID-STATE SCIENCES Series Editors: M. Cardona

More information

Bourbaki Elements of the History of Mathematics

Bourbaki Elements of the History of Mathematics Bourbaki Elements of the History of Mathematics Springer Berlin Heidelberg New York Barcelona Hong Kong London Milan Paris Singapore Tokyo Nicolas Bourbaki Elements of the History of Mathematics Translated

More information

Tianyou Fan. Mathematical Theory of Elasticity of Quasicrystals and Its Applications

Tianyou Fan. Mathematical Theory of Elasticity of Quasicrystals and Its Applications Tianyou Fan Mathematical Theory of Elasticity of Quasicrystals and Its Applications Tianyou Fan Mathematical Theory of Elasticity of Quasicrystals and Its Applications With 82 figures Author Tianyou Fan

More information

UV-VIS Spectroscopy and Its Applications

UV-VIS Spectroscopy and Its Applications SPRINGER LABORATORY Heinz-Helmut Perkampus UV-VIS Spectroscopy and Its Applications Translated by H. Charlotte Grinter and Dr. T. L. Threlfall With 78 Figures and 21 Tables Springer -Ver lag Berlin Heidelberg

More information

Mathematical Formulas for Economists

Mathematical Formulas for Economists Mathematical Formulas for Economists Springer-Verlag Berlin Heidelberg GmbH Bernd Luderer. Volker Nollau Klaus Vetters Mathematical Formulas for Economists With 58 Figures and 6 Tables, Springer Professor

More information

Topics in Applied Physics Volume 1. Founded by Helmut K. V. Lotsch

Topics in Applied Physics Volume 1. Founded by Helmut K. V. Lotsch Topics in Applied Physics Volume 1 Founded by Helmut K. V. Lotsch Dye Lasers Edited by F. P. Schafer With Contributions by K. H. Drexhage T. W. Hansch E. P. lppen F. P. Schafer C. V. Shank B. B. Snavely

More information

Nonlinear Optics. D.L.Mills. Basic Concepts. Springer-Verlag. With 32 Figures

Nonlinear Optics. D.L.Mills. Basic Concepts. Springer-Verlag. With 32 Figures Nonlinear Optics D.L.Mills Nonlinear Optics Basic Concepts With 32 Figures Springer-Verlag Berlin Heidelberg New York London Paris Tokyo HongKong Barcelona Budapest Professor D. L. Mills, Ph.D. Department

More information

Topics in Boundary Element

Topics in Boundary Element Topics in Boundary Element Research Edited by C. A. Brebbia Volume 7 Electrical Engineering Applications With 186 Figures and 11 Tables Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong

More information

Experimental Techniques in Nuclear and Particle Physics

Experimental Techniques in Nuclear and Particle Physics Experimental Techniques in Nuclear and Particle Physics Stefaan Tavernier Experimental Techniques in Nuclear and Particle Physics 123 Prof. Stefaan Tavernier Vrije Universiteit Brussel Fak. Wetenschappen

More information

1000 Solved Problems in Classical Physics

1000 Solved Problems in Classical Physics 1000 Solved Problems in Classical Physics Ahmad A. Kamal 1000 Solved Problems in Classical Physics An Exercise Book 123 Dr. Ahmad A. Kamal Silversprings Lane 425 75094 Murphy Texas USA anwarakamal@yahoo.com

More information

Landolt-Börnstein / New Series

Landolt-Börnstein / New Series Landolt-Börnstein / New Series Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series Editor in Chief: W. Martienssen Units and Fundamental Constants in Physics

More information

Springer Berlin Heidelberg New York Barcelona Budapest Hong Kong London Milan Paris Santa Clara Singapore Tokyo

Springer Berlin Heidelberg New York Barcelona Budapest Hong Kong London Milan Paris Santa Clara Singapore Tokyo Springer Berlin Heidelberg New York Barcelona Budapest Hong Kong London Milan Paris Santa Clara Singapore Tokyo J. M. RUeger Electronic Distance Measurement An Introduction Fourth Edition With 56 Figures

More information

Classics in Mathematics Andre Weil Elliptic Functions according to Eisenstein and Kronecker

Classics in Mathematics Andre Weil Elliptic Functions according to Eisenstein and Kronecker Classics in Mathematics Andre Weil Elliptic Functions according to Eisenstein and Kronecker Andre Weil was horn on May 6, 1906 in Paris. After studying mathematics at the Ecole Normale Superieure and receiving

More information

Statistical Physics of Polymers

Statistical Physics of Polymers Statistical Physics of Polymers Advanced Texts in Physics This program of advanced texts covers a broad spectrum of topics which are of current and emerging interest in physics. Each book provides a comprehensive

More information

Springer Series on Atomic, Optical, and Plasma Physics

Springer Series on Atomic, Optical, and Plasma Physics Springer Series on Atomic, Optical, and Plasma Physics Volume 51 Editor-in-chief Gordon W. F. Drake, Department of Physics, University of Windsor, Windsor, ON, Canada Series editors James Babb, Harvard-Smithsonian

More information

Nuclear Magnetic Resonance Data

Nuclear Magnetic Resonance Data Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series / Editor in Chief: W. Martienssen Group III: Condensed Matter Volume 35 Nuclear Magnetic Resonance Data

More information

Parameter Estimation and Hypothesis Testing in Linear Models

Parameter Estimation and Hypothesis Testing in Linear Models Parameter Estimation and Hypothesis Testing in Linear Models Springer-Verlag Berlin Heidelberg GmbH Karl-Rudolf Koch Parameter Estimation and Hypothesis Testing in Linear Models Second, updated and enlarged

More information

Lecture Notes in Artificial Intelligence

Lecture Notes in Artificial Intelligence Lecture Notes in Artificial Intelligence Subseries of Lecture Notes in Computer Science Edited by J.G. Carbonell and J. Siekmann 1047 Lecture Notes in Computer Science Edited by G. Goos, J. Hartmanis and

More information

Nuclear Magnetic Resonance Data

Nuclear Magnetic Resonance Data Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series / Editor in Chief: W. Martienssen Group III: Condensed Matter Volume 35 Nuclear Magnetic Resonance Data

More information

Karl-Rudolf Koch Introduction to Bayesian Statistics Second Edition

Karl-Rudolf Koch Introduction to Bayesian Statistics Second Edition Karl-Rudolf Koch Introduction to Bayesian Statistics Second Edition Karl-Rudolf Koch Introduction to Bayesian Statistics Second, updated and enlarged Edition With 17 Figures Professor Dr.-Ing., Dr.-Ing.

More information

Lecture Notes in Mathematics Editors: J.-M. Morel, Cachan F. Takens, Groningen B. Teissier, Paris

Lecture Notes in Mathematics Editors: J.-M. Morel, Cachan F. Takens, Groningen B. Teissier, Paris Lecture Notes in Mathematics 1915 Editors: J.-M. Morel, Cachan F. Takens, Groningen B. Teissier, Paris Türker Bıyıkoğlu Josef Leydold Peter F. Stadler Laplacian Eigenvectors of Graphs Perron-Frobenius

More information

Semiconductor-Laser Fundamentals

Semiconductor-Laser Fundamentals Semiconductor-Laser Fundamentals Springer-Verlag Berlin Heidelberg GmbH Weng W. Chow Stephan W. Koch Semiconductor-laser Fundamentals Physics of the Gain Materials With 132 Figures and 3 Tables Springer

More information

Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series / Editor in Chief: W.

Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series / Editor in Chief: W. Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series / Editor in Chief: W. Martienssen Group VIII: Advanced Materials and Technologies Volume 6 Polymers Subvolume

More information

Lecture Notes in Economics and Mathematical Systems

Lecture Notes in Economics and Mathematical Systems Lecture Notes in Economics and Mathematical Systems 524 Founding Editors: M. Beckmann H. P. Ktinzi Managing Editors: Prof. Dr. G. Fandel Fachbereich Wirtschaftswissenschaften Femuniversitiit Hagen Feithstr.

More information

7 Edited by Peter Fulde. Springer Series in Solid-State Sciences

7 Edited by Peter Fulde. Springer Series in Solid-State Sciences 7 Edited by Peter Fulde Springer Series in Solid-State Sciences Springer Series in Solid-State Sciences Editors: M. Cardona P. Fulde H.-J. Queisser Volume 40 Semiconductor Physics - An Introduction By

More information

Data Analysis Using the Method of Least Squares

Data Analysis Using the Method of Least Squares Data Analysis Using the Method of Least Squares J. Wolberg Data Analysis Using the Method of Least Squares Extracting the Most Information from Experiments With Figures and Tables 123 John Wolberg Technion-Israel

More information

Differential Scanning Calorimetry

Differential Scanning Calorimetry Differential Scanning Calorimetry Springer-Verlag Berlin Heidelberg GmbH G. W. H. H6hne. W. F. Hemminger H.-J. Flammersheim Differential Scanning Ca lori metry 2nd revised and enlarged edition With 130

More information

Springer Series in Solid-State Sciences

Springer Series in Solid-State Sciences Springer Series in Solid-State Sciences Volume 186 Series editors Bernhard Keimer, Stuttgart, Germany Roberto Merlin, Ann Arbor, MI, USA Hans-Joachim Queisser, Stuttgart, Germany Klaus von Klitzing, Stuttgart,

More information

Editors,: P. Diehl E. Fluck H. Gunther R. Kosfeld J. Seelig

Editors,: P. Diehl E. Fluck H. Gunther R. Kosfeld J. Seelig NMR Basic Principles and Progress 34 Editors,: P. Diehl E. Fluck H. Gunther R. Kosfeld J. Seelig Guest-Editors: E. Fluck, H. Gunther Advisory Board: G. Bodenhausen S. Forsen R. K. Harris C. L. Khetrapal

More information

Theory of Elasticity

Theory of Elasticity Theory of Elasticity Aldo Maceri Theory of Elasticity 123 Prof. Dr.-Ing. Aldo Maceri Universitá Roma Tre Departimento di Ingegneria Meccanica e Industriale Via della Vasca Navale, 79 00146 Roma Italy

More information

Latif M. Jiji. Heat Convection. With 206 Figures and 16 Tables

Latif M. Jiji. Heat Convection. With 206 Figures and 16 Tables Heat Convection Latif M. Jiji Heat Convection With 206 Figures and 16 Tables Prof. Latif M. Jiji City University of New York School of Engineering Dept. of Mechanical Engineering Convent Avenue at 138th

More information

Walter R. Johnson Atomic Structure Theory

Walter R. Johnson Atomic Structure Theory Walter R. Johnson Atomic Structure Theory Walter R. Johnson Atomic Structure Theory Lectures on Atomic Physics With 21 Figures and 45 Tables 123 Professor Dr. Walter R. Johnson University of Notre Dame

More information

Sputtering by Particle Bombardment I

Sputtering by Particle Bombardment I Sputtering by Particle Bombardment I Physical Sputtering of Single-Element Solids Edited by R. Behrisch With Contributions by H. H. Andersen H.L. Bay R. Behrisch M. T. Robinson H.E. Roosendaal R Sigmund

More information

Günter Zschornack Handbook of X-Ray Data

Günter Zschornack Handbook of X-Ray Data Günter Zschornack Handbook of X-Ray Data Günter Zschornack Handbook of X-Ray Data With 113 Figures and 161 Tables 123 Ass.-Prof. Dr. rer. nat. habil. Günter Zschornack Technische Universität Dresden Institut

More information

Reactivity and Structure Concepts in Organic Chemistry

Reactivity and Structure Concepts in Organic Chemistry Reactivity and Structure Concepts in Organic Chemistry Volume T1 Editors: Klaus Hafner Charles W Rees Barry M. Trost Jean-Marie Lehn P. von Rague Schleyer Rudolf Zahradnik Steven V. Ley Caroline M. R.

More information

Lauge Fuglsang Nielsen. Composite Materials. Properties as Influenced by Phase Geometry. With 241 Figures ABC

Lauge Fuglsang Nielsen. Composite Materials. Properties as Influenced by Phase Geometry. With 241 Figures ABC Composite Materials Lauge Fuglsang Nielsen Composite Materials Properties as Influenced by Phase Geometry With 241 Figures ABC Lauge Fuglsang Nielsen Technical University of Denmark Dept. Civil Engineering,

More information

Egon Krause. Fluid Mechanics

Egon Krause. Fluid Mechanics Egon Krause Fluid Mechanics Egon Krause Fluid Mechanics With Problems and Solutions, and an Aerodynamic Laboratory With 607 Figures Prof. Dr. Egon Krause RWTH Aachen Aerodynamisches Institut Wüllnerstr.5-7

More information

Daniela Dragoman Mircea Dragoman Optical Characterization of Solids

Daniela Dragoman Mircea Dragoman Optical Characterization of Solids Daniela Dragoman Mircea Dragoman Optical Characterization of Solids Springer-Verlag Berlin Heidelberg GmbH Physics and Astronomy ONLINE LIBRARY http://www.springer.de/phys/ D. Dragoman M. Dragoman Optical

More information

Fundamentals of Mass Determination

Fundamentals of Mass Determination Fundamentals of Mass Determination Michael Borys Roman Schwartz Arthur Reichmuth Roland Nater Fundamentals of Mass Determination 123 Michael Borys Fachlabor 1.41 Physikalisch-Technische Bundesanstalt Bundesallee

More information

Peter Orlik Volkmar Welker. Algebraic Combinatorics. Lectures at a Summer School in Nordfjordeid, Norway, June 2003 ABC

Peter Orlik Volkmar Welker. Algebraic Combinatorics. Lectures at a Summer School in Nordfjordeid, Norway, June 2003 ABC Peter Orlik Volkmar Welker Algebraic Combinatorics Lectures at a Summer School in Nordfjordeid, Norway, June 2003 ABC Authors Peter Orlik Department of Mathematics University of Wisconsin-Madison 480 Lincoln

More information

ThiS is a FM Blank Page

ThiS is a FM Blank Page Acid-Base Diagrams ThiS is a FM Blank Page Heike Kahlert Fritz Scholz Acid-Base Diagrams Heike Kahlert Fritz Scholz Institute of Biochemistry University of Greifswald Greifswald Germany English edition

More information

Lecture Notes in Physics

Lecture Notes in Physics Lecture Notes in Physics Edited by H. Araki, Kyoto, J. Ehlers, MLinchen, K. Hepp, ZUrich R. Kippenhahn, ML~nchen, D. Ruelle, Bures-sur-Yvette H.A. WeidenmSIler, Heidelberg, J. Wess, Karlsruhe and J. Zittartz,

More information

Encyclopaedia of Mathematical Sciences

Encyclopaedia of Mathematical Sciences Encyclopaedia of Mathematical Sciences Volume 50 Editor-in-Chief: R. V. Gamkrelidze Springer Berlin Heidelberg New ork Barcelona Budapest Hong Kong London Milan Paris Santa Clara Singapore Tokyo A. V.

More information

Magnetic Properties of Non-Metallic Inorganic Compounds Based on Transition Elements

Magnetic Properties of Non-Metallic Inorganic Compounds Based on Transition Elements Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series / Editor in Chief: W. Martienssen Group III: Condensed Matter Volume 27 Magnetic Properties of Non-Metallic

More information

springer proceedings in physics 134

springer proceedings in physics 134 springer proceedings in physics 134 springer proceedings in physics Please view available titles in Springer Proceedings in Physics on series homepage http://www.springer.com/series/361/ Stefano Bellucci

More information

Semiconductor Physics

Semiconductor Physics Semiconductor Physics Advanced Texts in Physics This program of advanced texts covers a broad spectrum of topics which are of current and emerging interest in physics. Each book provides a comprehensive

More information

Rade Westergren Mathematics Handbook

Rade Westergren Mathematics Handbook Rade Westergren Mathematics Handbook Springer-Verlag Berlin Heidelberg GmbH Lennart Rade Bertil Westergren Mathematics Handbook for Science and Engineering Fourth Edition Springer ~ Studentlitteratur Lennart

More information

Nonlinear Dynamical Systems in Engineering

Nonlinear Dynamical Systems in Engineering Nonlinear Dynamical Systems in Engineering . Vasile Marinca Nicolae Herisanu Nonlinear Dynamical Systems in Engineering Some Approximate Approaches Vasile Marinca Politehnica University of Timisoara Department

More information

Statistics of Random Processes

Statistics of Random Processes Robert S. Liptser Albert N. Shiryaev Statistics of Random Processes II. Applications Translated by A. B. Aries Translation Editor: Stephen S. Wilson Second, Revised and Expanded Edition Springer Authors

More information

Metalliferous Sediments of the World Ocean. Metalliferous Sediments of the World Ocean

Metalliferous Sediments of the World Ocean. Metalliferous Sediments of the World Ocean Gurvich Evgeny Gurvich evgeny gurvich was born in 1947 in Moscow. He received his Ph.D. and D.Sc. degrees from the P. P. Shirshov Institute of Oceanology in Moscow where he remained for more than 25 years.

More information

Econometric Analysis of Count Data

Econometric Analysis of Count Data Econometric Analysis of Count Data Springer-Verlag Berlin Heidelberg GmbH Rainer Winkelmann Econometric Analysis of Count Data Third, Revised and Enlarged Edition With l3 Figures and 20 Tables, Springer

More information

Tritium: Fuel of Fusion Reactors

Tritium: Fuel of Fusion Reactors Tritium: Fuel of Fusion Reactors Tetsuo Tanabe Editor Tritium: Fuel of Fusion Reactors 123 Editor Tetsuo Tanabe Interdisciplinary Graduate School of Engineering Sciences Kyushu University Fukuoka Japan

More information

German Annual of Spatial Research and Policy

German Annual of Spatial Research and Policy German Annual of Spatial Research and Policy Editors: ARL Academy of Regional Sciences and Regional Planning in Hanover BBR Federal Office for Building and Regional Planning in Bonn IfL Leibniz Institute

More information

Ergebnisse der Mathematik und ihrer Grenzgebiete

Ergebnisse der Mathematik und ihrer Grenzgebiete Ergebnisse der Mathematik und ihrer Grenzgebiete 3. Foige. Band 16 A Series of Modern Surveys in Mathematics Editorial Board E. Bombieri, Princeton S. Feferman, Stanford N. H. Kuiper, Bures-sur-Yvette

More information

Springer Series in Solid-State Sciences. Edited by Klaus von Klitzing

Springer Series in Solid-State Sciences. Edited by Klaus von Klitzing 85 Springer Series in Solid-State Sciences Edited by Klaus von Klitzing Springer Series in Solid-State Sciences Editors: M. Cardona P. Fulde K. von Klitzing H.-J. Queisser Managing Editor: H. K. V. Lotsch

More information

Classics in Mathematics Lars Hormander. The Analysis of Linear Partial Differential Operators I

Classics in Mathematics Lars Hormander. The Analysis of Linear Partial Differential Operators I Classics in Mathematics Lars Hormander The Analysis of Linear Partial Differential Operators I Born on January 24,1931, on the southern coast of Sweden, Lars Hormander did his secondary schooling as well..

More information

Ambrosio Dancer Calculus of Variations and Partial Differential Equations

Ambrosio Dancer Calculus of Variations and Partial Differential Equations Ambrosio Dancer Calculus of Variations and Partial Differential Equations Springer-Verlag Berlin Heidelberg GmbH L. Ambrosio N. Dancer Calculus of Variations and Partial Differential Equations Topics on

More information

Topics in Current Chemistry

Topics in Current Chemistry 193 Topics in Current Chemistry Editorial Board: A. de Meijere K.N. Houk J.-M. Lehn S.V. Ley J. Thiem B.M. Trost F. Vögtle H. Yamamoto Springer Berlin Heidelberg New York Barcelona Budapest Hong Kong London

More information

Stochastic Optimization Methods

Stochastic Optimization Methods Stochastic Optimization Methods Kurt Marti Stochastic Optimization Methods With 14 Figures 4y Springer Univ. Professor Dr. sc. math. Kurt Marti Federal Armed Forces University Munich Aero-Space Engineering

More information

Lecture Notes in Chemistry

Lecture Notes in Chemistry Lecture Notes in Chemistry 59 Edited by: Prof. Dr. Gaston Berthier Universite de Paris Prof. Dr. Michael J. S. Dewar The University of Texas Prof. Dr. Hanns Fischer Universitat Ziirich Prof. Dr. Kenichi

More information

Landolt-Börnstein / New Series

Landolt-Börnstein / New Series Landolt-Börnstein / New Series Springer Berlin Heidelberg New York Barcelona Budapest Hong Kong London Milan Paris Singapore Tokyo Landolt-Börnstein Numerical Data and Functional Relationships in Science

More information

Semantics of the Probabilistic Typed Lambda Calculus

Semantics of the Probabilistic Typed Lambda Calculus Semantics of the Probabilistic Typed Lambda Calculus Dirk Draheim Semantics of the Probabilistic Typed Lambda Calculus Markov Chain Semantics, Termination Behavior, and Denotational Semantics Dirk Draheim

More information

Springer-Verlag Berlin Heidelberg GmbH

Springer-Verlag Berlin Heidelberg GmbH Statistical Physics Springer-Verlag Berlin Heidelberg GmbH Josef Honerkarnp Statistical Physics An Advanced Approach with Applications With 82 Figures, 7 Tables and 57 Problems with Solutions Springer

More information

Springer-Verlag Berlin Heidelberg GmbH

Springer-Verlag Berlin Heidelberg GmbH Springer-Verlag Berlin Heidelberg GmbH Kazuhiro Arai The Economics of Education An Analysis of College-Going Behavior With 18 Figures Springer Kazuhiro Arai Professor of Economics Hitotsubashi University

More information

Classics in Mathematics

Classics in Mathematics Classics in Mathematics Friedrich Hirzebruch Topological Methods in Algebraic Geometry Friedrich Hirzebruch Topological Methods in Algebraic Geometry Reprint of the 1978 Edition Springer Friedrich Hirzebruch

More information

Peter E. Kloeden Eckhard Platen. Numerical Solution of Stochastic Differential Equations

Peter E. Kloeden Eckhard Platen. Numerical Solution of Stochastic Differential Equations Peter E. Kloeden Eckhard Platen Numerical Solution of Stochastic Differential Equations Peter E. Kloeden School of Computing and Mathematics, Deakin Universit y Geelong 3217, Victoria, Australia Eckhard

More information

Dynamics Formulas and Problems

Dynamics Formulas and Problems Dynamics Formulas and Problems Dietmar Gross Wolfgang Ehlers Peter Wriggers Jörg Schröder Ralf Müller Dynamics Formulas and Problems Engineering Mechanics 3 123 Dietmar Gross Division of Solid Mechanics

More information

Heterocyclic Chemistry II

Heterocyclic Chemistry II Heterocyclic Chemistry II Heterocyclic Chemistry R. R. Gupta, M. Kumar, V. Gupta Volume I: Principles, Three- and Four-Membered Heterocycles Volumell: Five-MemberedHeterocycles Volume III: Six-Membered

More information

Springer-Verlag Berlin Heidelberg GmbH. Nonlinear Optics in Telecommunications

Springer-Verlag Berlin Heidelberg GmbH. Nonlinear Optics in Telecommunications Springer-Verlag Berlin Heidelberg GmbH Nonlinear Optics in Telecommunications Advanced Texts in Physics This program of advanced texts covers a broad spectrum of topics which are of current and emerging

More information

Landolt-Börnstein / New Series

Landolt-Börnstein / New Series Landolt-Börnstein / New Series Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series Editor in Chief: W. Martienssen Units and Fundamental Constants in Physics

More information

Lecture Notes in Earth Sciences

Lecture Notes in Earth Sciences Lecture Notes in Earth Sciences Editors: S. Bhattacharji, Brooklyn G. M. Friedman, Brooklyn and Troy H. J. Neugebauer, Bonn A. Seilacher, Tuebingen and Yale Springer Berlin Heidelberg New York Barcelona

More information

Principles of Surface Physics

Principles of Surface Physics Principles of Surface Physics Advanced Texts in Physics This program of advanced texts covers a broad spectrum of topics which are of current and emerging interest in physics. Each book provides a comprehensive

More information

THEORY OF MOLECULAR EXCITONS

THEORY OF MOLECULAR EXCITONS THEORY OF MOLECULAR EXCITONS THEORY OF MOLECULAR EXCITONS A. S. Davydov Kiev State University Kiev, USSR Translated from Russian by Stephen B. Dresner g? SPRINGER SCIENCE+BUSINESS MEDIA, LLC 1971 Aleksandr

More information

Proceedings in Life Sciences

Proceedings in Life Sciences Proceedings in Life Sciences Supramolecular Structure and Function Edited by Greta Pifat-Mrzljak With 86 Figures Springer-Verlag Berlin Heidelberg New York Tokyo Dr. GRETA PIFAT-MRZLJAK Ruder Boskovic

More information

Shijun Liao. Homotopy Analysis Method in Nonlinear Differential Equations

Shijun Liao. Homotopy Analysis Method in Nonlinear Differential Equations Shijun Liao Homotopy Analysis Method in Nonlinear Differential Equations Shijun Liao Homotopy Analysis Method in Nonlinear Differential Equations With 127 figures Author Shijun Liao Shanghai Jiao Tong

More information

Minoru Ozima. Geohistory. Global Evolution of the Earth. English by Judy Wakabayashi. Springer-Verlag Berlin Heidelberg New York London Paris Tokyo

Minoru Ozima. Geohistory. Global Evolution of the Earth. English by Judy Wakabayashi. Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Minoru Ozima Geohistory Global Evolution of the Earth English by Judy Wakabayashi Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Professor Dr. MINORU OZIMA Geophysical Institute University

More information

Jochen Hoefs Stable Isotope Geochemistry

Jochen Hoefs Stable Isotope Geochemistry Jochen Hoefs Stable Isotope Geochemistry Springer-Verlag Berlin Heidelberg GmbH Jochen Hoefs Stable Isotope Geochemistry 4th, Completely Revised, Updated, and Enlarged Edition With 73 Figures and 22 Tables

More information

Qing-Hua Qin. Advanced Mechanics of Piezoelectricity

Qing-Hua Qin. Advanced Mechanics of Piezoelectricity Qing-Hua Qin Advanced Mechanics of Piezoelectricity Qing-Hua Qin Advanced Mechanics of Piezoelectricity With 77 figures Author Prof. Qing-Hua Qin Research School of Engineering Australian National University

More information

Basic Semiconductor Physics

Basic Semiconductor Physics Basic Semiconductor Physics Springer-Verlag Berlin Heidelberg GmbH Physics and Astronomy ONLINE LlBRARY http://www.springer.de/phys/ Chihiro Hamaguchi Basic Semiconductor Physics With 168 Figures and 25

More information

Dynamics and Control of Lorentz-Augmented Spacecraft Relative Motion

Dynamics and Control of Lorentz-Augmented Spacecraft Relative Motion Dynamics and Control of Lorentz-Augmented Spacecraft Relative Motion Ye Yan Xu Huang Yueneng Yang Dynamics and Control of Lorentz-Augmented Spacecraft Relative Motion 123 Ye Yan College of Aerospace Science

More information

Latif M. Jiji. Heat Conduction. Third Edition ABC

Latif M. Jiji. Heat Conduction. Third Edition ABC Heat Conduction Latif M. Jiji Heat Conduction Third Edition ABC Professor Latif M. Jiji Department of Mechanical Engineering Grove School of Engineering The City College of The City University of New York

More information

Lecture Notes in Mathematics

Lecture Notes in Mathematics Lecture Notes in Mathematics Editors: A. Dold, Heidelberg F. Takens,Groningen 1646 Subseries: Fondazione C. 1. M. E., Firenze Adviser: Roberto Conti Springer Berlin Heidelberg New York Barcelona BUdapest

More information

Linear Programming and its Applications

Linear Programming and its Applications Linear Programming and its Applications H. A. Eiselt C.-L. Sandblom Linear Programming and its Applications With 71 Figures and 36 Tables 123 Prof. Dr. H. A. Eiselt University of New Brunswick Faculty

More information

The Handbook of Environmental Chemistry

The Handbook of Environmental Chemistry The Handbook of Environmental Chemistry Volume 5 Part A Edited by 0. Hutzinger Water Pollution With contributions by B. Allard, G. E Craun, N. T. de Oude, M. Falkenmark, H. L. Golterman, T. Lindstrom,

More information

Extended Irreversible Thermodynamics

Extended Irreversible Thermodynamics Extended Irreversible Thermodynamics D. Jou 1. Casas-Vazquez G.Lebon Extended Irreversible Thermodynamics With 19 Figures Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong Kong Barcelona

More information

Nuclear Fission and Cluster Radioactivity

Nuclear Fission and Cluster Radioactivity Nuclear Fission and Cluster Radioactivity M. A. Hooshyar I. Reichstein F. B. Malik Nuclear Fission and Cluster Radioactivity An Energy-Density Functional Approach With 82 Figures ABC Authors Professor

More information

Progress in Colloid & Polymer Science. Vol. 75

Progress in Colloid & Polymer Science. Vol. 75 Progress in Colloid & Polymer Science. Vol. 75 PROGRESS IN COLLOID & POLYMER SCIENCE Editors" H.-G. Kilian (Ulm) and G. Lagaly (Kiel) Volume 75 (1987) Permanent and Transient Networks Guest Editors" M.

More information

Frank Bothmann Rudolf Kerndlmaier Albert Koffeman Klaus Mandel Sarah Wallbank A Guidebook for Riverside Regeneration Artery - Transforming Riversides

Frank Bothmann Rudolf Kerndlmaier Albert Koffeman Klaus Mandel Sarah Wallbank A Guidebook for Riverside Regeneration Artery - Transforming Riversides Frank Bothmann Rudolf Kerndlmaier Albert Koffeman Klaus Mandel Sarah Wallbank A Guidebook for Riverside Regeneration Artery - Transforming Riversides for the Future This publication has received European

More information

Springer Series in Solid-State Sciences. Edited by Manuel Cardona and Peter Fulde

Springer Series in Solid-State Sciences. Edited by Manuel Cardona and Peter Fulde 41 Springer Series in Solid-State Sciences Edited by Manuel Cardona and Peter Fulde Springer Series in Solid-State Sciences Editors: M. Cardona P. Fulde H.-J. Queisser Volume 40 Semiconductor Physics -

More information

Fuzzy Randomness. Bernd Moller Michael Beer

Fuzzy Randomness. Bernd Moller Michael Beer Fuzzy Randomness Bernd Moller Michael Beer Springer-Verlag Berlin Heidelberg GmbH Engineering ONLINE LIBRARY springeronline.com Bernd Moller Michael Beer Fuzzy Randomne Uncertainty in Civil Engineering

More information

Statics and Mechanics of Structures

Statics and Mechanics of Structures Statics and Mechanics of Structures Steen Krenk Jan Høgsberg Statics and Mechanics of Structures Prof. Steen Krenk Department of Mechanical Engineering Technical University of Denmark Kongens Lyngby,

More information

Adaptations of Desert Organisms

Adaptations of Desert Organisms Adaptations of Desert Organisms Edited by J.L. Cloudsley-Thompson Springer-Verlag Berlin Heidelberg GmbH Volumes already published Ecophysiology of the Camelidae and Desert Ruminants By R.T. Wilson (1989)

More information

Progress in Advanced Structural and Functional Materials Design

Progress in Advanced Structural and Functional Materials Design Progress in Advanced Structural and Functional Materials Design Tomoyuki Kakeshita Editor Progress in Advanced Structural and Functional Materials Design Editor Tomoyuki Kakeshita Division of Materials

More information

Two -Dimensional Digital Signal Processing II

Two -Dimensional Digital Signal Processing II Two -Dimensional Digital Signal Processing II Transforms and Median Filters Edited by T. S. Huang With Contributions by J.-O. Eklundh T.S. Huang B.I. Justusson H. J. Nussbaumer S.G. Tyan S. Zohar With

More information

Ahsan Habib Khandoker Chandan Karmakar Michael Brennan Andreas Voss Marimuthu Palaniswami. Poincaré Plot Methods for Heart Rate Variability Analysis

Ahsan Habib Khandoker Chandan Karmakar Michael Brennan Andreas Voss Marimuthu Palaniswami. Poincaré Plot Methods for Heart Rate Variability Analysis Ahsan Habib Khandoker Chandan Karmakar Michael Brennan Andreas Voss Marimuthu Palaniswami Poincaré Plot Methods for Heart Rate Variability Analysis Poincaré Plot Methods for Heart Rate Variability Analysis

More information

Publication of the Museum of Nature South Tyrol Nr. 11

Publication of the Museum of Nature South Tyrol Nr. 11 Publication of the Museum of Nature South Tyrol Nr. 11 ThiS is a FM Blank Page Erika Pignatti Sandro Pignatti Plant Life of the Dolomites Vegetation Tables Erika Pignatti Sandro Pignatti Rome Italy Publication

More information

Mathematical Engineering

Mathematical Engineering Electrical Machines Mathematical Engineering Series Editors Prof. Dr. Claus Hillermeier, Munich, Germany, (volume editor) Prof. Dr.-Ing. Jörg Schröder, Essen, Germany Prof. Dr.-Ing. Bernhard Weigand, Stuttgart,

More information

Lecture Notes in Computer Science

Lecture Notes in Computer Science Lecture Notes in Computer Science Edited by G. Goos and J. Hartmanis 413 Reiner Lenz Group Theoretical Methods in Image Processing II III II II II Springer-Verlag Berlin Heidelberg NewYork London Paris

More information

Feynman Integral Calculus

Feynman Integral Calculus Feynman Integral Calculus Vladimir A. Smirnov Feynman Integral Calculus ABC Vladimir A. Smirnov Lomonosov Moscow State University Skobeltsyn Institute of Nuclear Physics Moscow 119992, Russia E-mail: smirnov@theory.sinp.msu.ru

More information