COPYRIGHTED MATERIAL. Index
|
|
- Aubrey Woods
- 5 years ago
- Views:
Transcription
1 347 Index a AC fields electric 81, laser 81, 136 magnetic 112 microwave AC field traps see Traps AC Stark effect 82, 84, 90, 96, , Adiabatic approximation 3, 10, 32 potential energy curves 6 8 Alternating gradient deceleration 155 trapping Angle-resolved scattering , Arthurs Dalgarno representation , Atom molecule collisions Avoided crossing 176, 178, 181, 269, 271 b Background scattering 246, 250 Barrierless reactions see Insertion chemical reactions Beamssee also Molecular beams focused Gaussian laser 166 guided 149, 151 slow Bessel functions 192, 193, 206, 208 Bethe threshold scattering 214 Blue shift 96 Body-fixed coordinate frame see Molecule-fixed coordinate frame Boltzmann averaging, 214, 284 Born Oppenheimer approximation 1, 32 Bose Einstein Condensation 262, 293 Bosons 115, 200, 201, 284 Bound state calculations Bound states laser-field aligned 134 quantum pendulum 127, resonant 241, 246, 252 Breit-Wigner equation 252, 253 Buffer gas cooling 164 COPYRIGHTED MATERIAL c Canonically conjugate variables Center-of-mass separation 12, 32, 75, 79, 189, 200, 260 Molecules in Electromagnetic Fields: From Ultracold Physics to Controlled Chemistry, First Edition. Roman V. Krems John Wiley & Sons, Inc. Published 2019 by John Wiley & Sons, Inc.
2 348 Index Centrifugal barrier 192, 206, 241, 266, , 275 force 14 Channel closed , , 248 coupled 198, 201, 203, 249 incoming , , 279, 289 open , 243, 249 outgoing , , 279 scattering 190, , 198, 201, 203, 279 threshold 253, 256, 279, 285 Chemical reactions , 152, 191, 215, 239, 258, 260, 266, 274, Classical field Hamiltonian particle Hamiltonian in fields, 59 particle Lagrangian in fields 36, 59 Clebsch Gordan coefficients 18, 20, 25, 34, 68, 212, 226, 228, 235, , 311, series 18, 235, 302 Coherent control of scattering 189, 259 superposition 99, 118, 124, 194, Collision cross section differential , 203, 204, integral , 204, 277 Collision-induced absorption of photons 109 Collision thresholds 253, 256, 279, 285 Confined geometry, Cooling buffer-gas 164 evaporative 171, 258, 294 laser sympathetic 171 Coriolis couplings 22 Coupled channel calculations , , 217, 224, resonances , 256, 279 Crossing avoided 176, 178, 181, 269, 271 real 176, 269 Cross section see Collision cross section d DC fields electric 35 magnetic 59 DC Stark effect 35, 37, 38 linear 40, 42, 45, 56 quadratic 40 41, 45, 56 DC Zeeman effect 59 De Broglie wavelength 196, 199, 287 Debye unit of electric dipole moment 38 39, 49, 56, 168 Deceleration optical 155 Rydberg 154 Stark 150, , 161, 289 Zeeman 154, 165 Detuning 94 96, Differential scattering cross sections , 203, 204, Dipolar interactions 183, 186 electric 288 magnetic 28 30, 33 Dipole approximation 116 Dipole polarizability Dirac electron 61 equation 2, 60 64, 78 sea 61
3 Index 349 e Earnshaw s theorem Elastic scattering 207, 214, 217, 239, 249, 255 in two dimensions Electric dipole moment 36 40, 43, 82, 99 Electric field 36 dynamic 81, operators 115 quantization static 35 Electric traps see Traps Entangled state 202 Evaporative cooling see Cooling f Fermions 61, 200, 201, 275, Feshbach projection operators resonances, Fine structure 5, 14 17, 20, 48, 51, 72, 141 Floquet matrix 84, 88 89, 90, 93, 95, 97, 108, 117, 186 theorem 84 86, 128 two-mode theory 92 93, 138 g Gauss law 156 unit of magnetic field 78, 164, 268 Gaussian laser beam 166 Gauss-Legendre polynomials 223 Green s operator 242, 244, 245, 247 h High-field seekers electric 134, 146, 150, , , 166, 167, 171, 176, 292 magnetic 71, 73, 146, 164, 171, 176, 264, 267, 270 Hund s cases 21 24, 27, 51, 53, 68, 74, , 230 Hyperfine interactions 5, 28, electric quadrupole 31 fermi contact 29 magnetic dipole 30 Hyperfine relaxation 265 i Incoherent sum 272 Inelastic collisions 141, 199, 211, , 217, 239, 257, in two dimensions Insertion chemical reactions 191 Integral scattering cross section see Collision cross section Intensity electromagnetic wave 81, 105, 118, 134, 137, 150, 166, 167, 181, 186, 273 Inversion of coordinate system see Parity Ion trap j Jacobi-Anger expansion 277 3j-symbols 303 k K-matrix, 207, 208, 252 l Laboratory-fixed coordinate frame see Space-fixed coordinate frame Ladder operators, 48, 304 see also Raising/lowering operators Lambda-doubling Laser cooling see Cooling Laser field deceleration, 155 Laserfielddeflection 150
4 350 Index Laser fields 81, , , 136, , , 175, 181, 288 Laserfieldtrapsee Traps Log-derivative method , 209, 218, 254, 256 Long wavelength approximation 116 Low-energy scattering threshold laws 214, 275 Low-field seekers electric 146, 148, 150, , , 166, 171, 176, 292 magnetic 71, 73, 146, 162, 164, 165, 171, 176, 264, 267, 270 m Magnetic dipole moment 28, Magnetic field 36 dynamic 112 operators 115 quantization static 59 Magnetic trap see Traps Mathieu differential equation 84, 128 functions 128 Maxwell Boltzmann distribution 214, 259, 284 Maxwell s equations 109, 156, 157 Microwave trap see Traps Molecular beams , 203, 257, 289 Molecular synchrotron 150, 161, 289 Molecule-fixed coordinate frame 17, 19, 24, 25, 66, 102, 104, Multi-channel resonances , 256, 279 scattering , , 217, 224, n Non-adiabatic couplings Coriolis 22 derivative 16 o Open scattering channel see Channel Optical deceleration, 155 see also Deceleration Optical dipole trap, see also Traps Optical lattice , Orbital angular momentum 2, 9, 12, 15, 18, 19, 32, 63, 64, 194, 210, 275, 279, 299 Oscillating dipole 99 p Parity 17, 20, 23 27, 37, 40 41, 44, 53, 54, 55, 65, 68, 123, 124, 126, 132, 134, 141, 175, 176, 179, 181, 232, 269 Partial wave expansion 171, 191, 201, 266 states 230, 234, 272, 275, 277, 285 Paul trap Periodic Hamiltonians 82 84, 128 Permanent dipole moment 38, 142, 181, 183, 233 Photon fields 88, 115, 116 Polarizability dipole dynamic 96, 98 electronic rotational 103 tensor 97, 98 vibrational 103 Potential energy curves 3, 7, 8, 11, 72 Projection operators 47, P-wave scattering 275, 284, 285 q Quadrupole field potential , 157, 169 guide 161 moment 28, 31, 37, 76 trap 163, 164, 169 Quantum scattering 188
5 Index 351 Quasi-bound states 239, 241, 252 Quasi-low-dimensional geometry 186, 273, 280, 288 Quasi-two-dimensional scattering r Rabi frequency 166, 167, 264 Raising/lowering operators, 22, 33, 66, 22, 304 see also Ladder operators Rate constants 214, 284, 285, 286, 288 Reactive scattering , 152, 191, 215, 239, 258, 260, 266, 274, 281, , 295 Red shift 96 Relaxation collision-induced , 272, 286 photon-induced in collisions 109 Resonances 266 Breit-Wigner formula 252, 253 Feshbach multiple-channel positions 249, shape , single-channel 249 widths 241, Riccati Bessel functions 206, 208 Rigid rotor approximation 4, 14 in combined fields 181, in a DC electric field 125, 127, , 219 in a laser field 107, 132, , 138 in a magnetic field in a microwave field 108, 119, Rotating wave approximation (RWA) Rydberg constant 6 decelerator, 154 (see also Deceleration) s Scattering amplitude 193, , , 202, 246, 280 crosssection (see Collision cross section) rate 214, 284, 285, 286, 288 resonances (see Resonances) Shape resonances see Resonances Slow molecular beams 149, , 271 Space-fixed coordinate frame 17, 19, 25, 75, 98, 100, 123, 136, 140, 145, 183, 186, , 210, 235, 284, 290, 293, 299, Spinor 60 Spin orbit interaction 54 Spin relaxation , 290 Spin rotation interaction 46, 48, 74, 78, , 221, Spin spin interaction 49 51, 74, 78, 225, Stark deceleration see Deceleration Stark shifts AC (see AC Stark effect) DC (see DC Stark effect) Stern Gerlach experiment 146, 147, 151 S-wave scattering 275, 284, 285 Sympathetic cooling see Cooling Synchronous rotation 121, 137 Synchrotron see Molecular Synchrotron t Thermalization 164 Threshold collisions 214, 275 Total angular momentum representation (see Arthurs Dalgarno representation)
6 352 Index Traps AC field traps DC electric field traps 158, 159 ions traps, (see also Paul trap) laser field traps magnetic field traps microwave trap 167 Tunneling chemistry 295 doublets 134, 175, 182 resonant scattering 241 Two-dimensional scattering Two-frequency laser field Floquet theory 92 93, 138 molecular centrifuge optical lattices u Ultracold chemistry collisions 171, 261, 266, 268, 273, 275 molecules 173, 182, 258 reactions 284 temperature 171, 187 v Vibrational energy 3 5, Hamiltonian 12, 221 levels polarizability (see Polarizability) state parity 24 wave functions 13 14, 151, 223 w Wave de Broglie 196, 199, 287 electromagnetic 81, equation, 110 Wave number 111 Wave vector 111 Wigner D-functions 18, 53, 230, 231, Wigner Eckart theorem 44, 47, 74, 100, 124, 139, 210, , 223, 226, 227, 228 Wigner 3j symbols Wigner threshold laws 214, 275, Wigner Witmer rules 33 z Zeeman decelerator see Deceleration Zeeman effect 59 Zeeman relaxation , 290 Zero-temperature reaction rate 214, 215, 268,
Quantum Mechanics: Fundamentals
Kurt Gottfried Tung-Mow Yan Quantum Mechanics: Fundamentals Second Edition With 75 Figures Springer Preface vii Fundamental Concepts 1 1.1 Complementarity and Uncertainty 1 (a) Complementarity 2 (b) The
More informationQUANTUM MECHANICS. Franz Schwabl. Translated by Ronald Kates. ff Springer
Franz Schwabl QUANTUM MECHANICS Translated by Ronald Kates Second Revised Edition With 122Figures, 16Tables, Numerous Worked Examples, and 126 Problems ff Springer Contents 1. Historical and Experimental
More informationPhysics of atoms and molecules
Physics of atoms and molecules 2nd edition B.H. Bransden and C.J. Joachain Prentice Hall An imprint of Pearson Education Harlow, England London New York Boston San Francisco Toronto Sydney Singapore Hong
More informationP. W. Atkins and R. S. Friedman. Molecular Quantum Mechanics THIRD EDITION
P. W. Atkins and R. S. Friedman Molecular Quantum Mechanics THIRD EDITION Oxford New York Tokyo OXFORD UNIVERSITY PRESS 1997 Introduction and orientation 1 Black-body radiation 1 Heat capacities 2 The
More informationList of Comprehensive Exams Topics
List of Comprehensive Exams Topics Mechanics 1. Basic Mechanics Newton s laws and conservation laws, the virial theorem 2. The Lagrangian and Hamiltonian Formalism The Lagrange formalism and the principle
More informationMOLECULAR SPECTROSCOPY
MOLECULAR SPECTROSCOPY First Edition Jeanne L. McHale University of Idaho PRENTICE HALL, Upper Saddle River, New Jersey 07458 CONTENTS PREFACE xiii 1 INTRODUCTION AND REVIEW 1 1.1 Historical Perspective
More informationAtoms and Molecules Interacting with Light Atomic Physics for the Laser Era
Atoms and Molecules Interacting with Light Atomic Physics for the Laser Era Peter van der Straten Universiteit Utrecht, The Netherlands and Harold Metcalf State University of New York, Stony Brook This
More informationFundamentals of Spectroscopy for Optical Remote Sensing. Course Outline 2009
Fundamentals of Spectroscopy for Optical Remote Sensing Course Outline 2009 Part I. Fundamentals of Quantum Mechanics Chapter 1. Concepts of Quantum and Experimental Facts 1.1. Blackbody Radiation and
More informationStudents are required to pass a minimum of 15 AU of PAP courses including the following courses:
School of Physical and Mathematical Sciences Division of Physics and Applied Physics Minor in Physics Curriculum - Minor in Physics Requirements for the Minor: Students are required to pass a minimum of
More informationLecture 3. Bose-Einstein condensation Ultracold molecules
Lecture 3 Bose-Einstein condensation Ultracold molecules 66 Bose-Einstein condensation Bose 1924, Einstein 1925: macroscopic occupation of the lowest energy level db h 2 mk De Broglie wavelength d 1/3
More informationQuantum Physics II (8.05) Fall 2002 Outline
Quantum Physics II (8.05) Fall 2002 Outline 1. General structure of quantum mechanics. 8.04 was based primarily on wave mechanics. We review that foundation with the intent to build a more formal basis
More informationarxiv: v1 [quant-ph] 21 Apr 2009
Cold and Ultracold Molecules: Science, Technology, and Applications arxiv:0904.3175v1 [quant-ph] 21 Apr 2009 Lincoln D. Carr Department of Physics, Colorado School of Mines, Golden, Colorado 80401, USA
More informationLaser Cooling and Trapping of Atoms
Chapter 2 Laser Cooling and Trapping of Atoms Since its conception in 1975 [71, 72] laser cooling has revolutionized the field of atomic physics research, an achievement that has been recognized by the
More informationLectures on Quantum Mechanics
Lectures on Quantum Mechanics Steven Weinberg The University of Texas at Austin CAMBRIDGE UNIVERSITY PRESS Contents PREFACE page xv NOTATION xviii 1 HISTORICAL INTRODUCTION 1 1.1 Photons 1 Black-body radiation
More informationQuantum Physics in the Nanoworld
Hans Lüth Quantum Physics in the Nanoworld Schrödinger's Cat and the Dwarfs 4) Springer Contents 1 Introduction 1 1.1 General and Historical Remarks 1 1.2 Importance for Science and Technology 3 1.3 Philosophical
More informationLECTURES ON QUANTUM MECHANICS
LECTURES ON QUANTUM MECHANICS GORDON BAYM Unitsersity of Illinois A II I' Advanced Bock Progrant A Member of the Perseus Books Group CONTENTS Preface v Chapter 1 Photon Polarization 1 Transformation of
More informationUltracold molecules - a new frontier for quantum & chemical physics
Ultracold molecules - a new frontier for quantum & chemical physics Debbie Jin Jun Ye JILA, NIST & CU, Boulder University of Virginia April 24, 2015 NIST, NSF, AFOSR, ARO Ultracold atomic matter Precise
More informationTopics for the Qualifying Examination
Topics for the Qualifying Examination Quantum Mechanics I and II 1. Quantum kinematics and dynamics 1.1 Postulates of Quantum Mechanics. 1.2 Configuration space vs. Hilbert space, wave function vs. state
More informationBose-Einstein condensates & tests of quantum mechanics
Bose-Einstein condensates & tests of quantum mechanics Poul Lindholm Pedersen Ultracold Quantum Gases Group PhD day, 31 10 12 Bose-Einstein condensation T high Classical particles T = 0 Pure condensate
More informationPhysics 622: Quantum Mechanics -- Part II --
Physics 622: Quantum Mechanics -- Part II -- Prof. Seth Aubin Office: room 255, Small Hall, tel: 1-3545 Lab: room 069, Small Hall (new wing), tel: 1-3532 e-mail: saaubi@wm.edu web: http://www.physics.wm.edu/~saubin/index.html
More informationCold Molecules and Controlled Ultracold Chemistry. Jeremy Hutson, Durham University
Cold Molecules and Controlled Ultracold Chemistry Jeremy Hutson, Durham University QuAMP Swansea, 11 Sept 2013 Experimentally accessible temperatures What is already possible in ultracold chemistry? Take
More informationCold Controlled Chemistry. Roman Krems University of British Columbia
Cold Controlled Chemistry Roman Krems University of British Columbia Sergey Alyabyshev Zhiying Li Timur Tscherbul Outline Cold and ultracold molecules - denitions Chemistry at ultracold temperatures External
More informationCold Polar Molecules and their Applications for Quantum Information H.P. Büchler
Cold Polar Molecules and their Applications for Quantum Information H.P. Büchler Theoretische Physik III, Universität Stuttgart, Germany Outline Introduction to polar molecules - quantum melting transition
More informationIntroduction to Cold Atoms and Bose-Einstein Condensation. Randy Hulet
Introduction to Cold Atoms and Bose-Einstein Condensation Randy Hulet Outline Introduction to methods and concepts of cold atom physics Interactions Feshbach resonances Quantum Gases Quantum regime nλ
More informationOptical Lattices. Chapter Polarization
Chapter Optical Lattices Abstract In this chapter we give details of the atomic physics that underlies the Bose- Hubbard model used to describe ultracold atoms in optical lattices. We show how the AC-Stark
More information1. Cold Collision Basics
ICAP Summer School, Seoul, S. Korea, July 18, 2016 1. Cold Collision Basics Paul S. Julienne Joint Quantum Institute NIST and The University of Maryland Thanks to many colleagues in theory and experiment
More informationINTRODUCTION TO THE STRUCTURE OF MATTER
INTRODUCTION TO THE STRUCTURE OF MATTER A Course in Modern Physics John J. Brehm and William J. Mullin University of Massachusetts Amherst, Massachusetts Fachberelch 5?@8hnlsdie Hochschule Darmstadt! HochschulstraSa
More informationDEPARTMENT OF PHYSICS UNIVERSITY OF PUNE PUNE SYLLABUS for the M.Phil. (Physics ) Course
DEPARTMENT OF PHYSICS UNIVERSITY OF PUNE PUNE - 411007 SYLLABUS for the M.Phil. (Physics ) Course Each Student will be required to do 3 courses, out of which two are common courses. The third course syllabus
More informationMESOSCOPIC QUANTUM OPTICS
MESOSCOPIC QUANTUM OPTICS by Yoshihisa Yamamoto Ata Imamoglu A Wiley-Interscience Publication JOHN WILEY & SONS, INC. New York Chichester Weinheim Brisbane Toronto Singapore Preface xi 1 Basic Concepts
More informationPhysics 622: Quantum Mechanics -- Part II --
Physics 622: Quantum Mechanics -- Part II -- Instructors Prof. Seth Aubin Office: room 255, Small Hall, tel: 1-3545 Lab: room 069, Small Hall (new wing), tel: 1-3532 e-mail: saaubi@wm.edu web: http://www.physics.wm.edu/~saubin/index.html
More informationClassical Electrodynamics
Classical Electrodynamics Third Edition John David Jackson Professor Emeritus of Physics, University of California, Berkeley JOHN WILEY & SONS, INC. Contents Introduction and Survey 1 I.1 Maxwell Equations
More informationInfluence of magnetic fields on cold collisions of polar molecules
PHYSICAL REVIEW A 71, 022709 2005 Influence of magnetic fields on cold collisions of polar molecules Christopher Ticknor and John L. Bohn JILA, University of Colorado, Boulder, Colorado 80309, USA Received
More informationExploring quantum magnetism in a Chromium Bose-Einstein Condensate
CLEO Europe - IQEC Munich May 14th 013 Olivier GORCEIX Exploring quantum magnetism in a Chromium Bose-Einstein Condensate Laboratoire de Physique des Lasers Université Paris 13, SPC Villetaneuse - France
More informationParadigms in Physics: Quantum Mechanics
Paradigms in Physics: Quantum Mechanics David H. McIntyre Corinne A. Manogue Janet Tate Oregon State University 23 November 2010 Copyright 2010 by David H. McIntyre, Corinne A. Manogue, Janet Tate CONTENTS
More informationSpectroscopy in Inorganic Chemistry. Vibration and Rotation Spectroscopy
Spectroscopy in Inorganic Chemistry Symmetry requirement for coupling combination bands and Fermi resonance 2 3 V 3 1505 cm -1 (R, IR) E' stretches v 1 888 cm -1 (R) A 1 ' stretch V 2 718 cm -1 (IR) A
More informationCold Controlled Chemistry. Roman Krems University of British Columbia
Cold Controlled Chemistry Roman Krems University of British Columbia Cold Chemistry Group at UBC Sergey Alyabyshev Chris Hemming Felipe Herrera Zhiying Li Timur Tscherbul Erik Abrahamsson UBC Physics Funding:
More informationCONTENTS. vii. CHAPTER 2 Operators 15
CHAPTER 1 Why Quantum Mechanics? 1 1.1 Newtonian Mechanics and Classical Electromagnetism 1 (a) Newtonian Mechanics 1 (b) Electromagnetism 2 1.2 Black Body Radiation 3 1.3 The Heat Capacity of Solids and
More informationQuantum Mechanics: Foundations and Applications
Arno Böhm Quantum Mechanics: Foundations and Applications Third Edition, Revised and Enlarged Prepared with Mark Loewe With 96 Illustrations Springer-Verlag New York Berlin Heidelberg London Paris Tokyo
More informationNanoKelvin Quantum Engineering
NanoKelvin Quantum Engineering Few x 10 5 Yb atoms 250mm 400 nk 250 nk < 200 nk Control of atomic c.m. position and momentum. Today: Bose-Fermi double superfluid Precision BEC interferometry Ultracold
More informationPHYSICS-PH (PH) Courses. Physics-PH (PH) 1
Physics-PH (PH) 1 PHYSICS-PH (PH) Courses PH 110 Physics of Everyday Phenomena (GT-SC2) Credits: 3 (3-0-0) Fundamental concepts of physics and elementary quantitative reasoning applied to phenomena in
More informationChem 442 Review of Spectroscopy
Chem 44 Review of Spectroscopy General spectroscopy Wavelength (nm), frequency (s -1 ), wavenumber (cm -1 ) Frequency (s -1 ): n= c l Wavenumbers (cm -1 ): n =1 l Chart of photon energies and spectroscopies
More informationUltracold Molecules and Cold Controlled Chemistry. Roman Krems University of British Columbia
Ultracold Molecules and Cold Controlled Chemistry Roman Krems University of British Columbia Sergey Alyabyshev Zhiying Li Timur Tscherbul ultra-cold cold warm hot 10-8 10-7 10-6 10-5 10-4 10-3 10-2 10-1
More informationQuantum optics of many-body systems
Quantum optics of many-body systems Igor Mekhov Université Paris-Saclay (SPEC CEA) University of Oxford, St. Petersburg State University Lecture 2 Previous lecture 1 Classical optics light waves material
More informationPhysics and Chemistry with Diatomic Molecules Near Absolute Zero. Tanya Zelevinsky & ZLab Columbia University, New York
Physics and Chemistry with Diatomic Molecules Near Absolute Zero Tanya Zelevinsky & ZLab Columbia University, New York Pupin Labs @ Columbia E. Fermi I. I. Rabi 10 What is Ultracold? MK kk 7 6 5 4 3 2
More informationBuilding Blocks for Quantum Computing Part IV. Design and Construction of the Trapped Ion Quantum Computer (TIQC)
Building Blocks for Quantum Computing Part IV Design and Construction of the Trapped Ion Quantum Computer (TIQC) CSC801 Seminar on Quantum Computing Spring 2018 1 Goal Is To Understand The Principles And
More informationPSEUDOPOTENTIAL TREATMENT OF TWO BODY INTERACTIONS
PSEUDOPOTENTIAL TREATMENT OF TWO BODY INTERACTIONS By KRITTIKA KANJILAL A dissertation submitted in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY WASHINGTON STATE UNIVERSITY
More informationMASTER OF SCIENCE IN PHYSICS
MASTER OF SCIENCE IN PHYSICS The Master of Science in Physics program aims to develop competent manpower to fill the demands of industry and academe. At the end of the program, the students should have
More informationLecture 2. Trapping of neutral atoms Evaporative cooling. Foot 9.6, , 10.5
Lecture Trapping of neutral atoms Evaporative cooling Foot 9.6, 10.1-10.3, 10.5 34 Why atom traps? Limitation of laser cooling temperature (sub)-doppler (sub)-recoil density light-assisted collisions reabsorption
More informationAdvanced quantum mechanics Reading instructions
Advanced quantum mechanics Reading instructions All parts of the book are included in the course and are assumed to be read. But of course some concepts are more important than others. The main purpose
More informationPhonon II Thermal Properties
Phonon II Thermal Properties Physics, UCF OUTLINES Phonon heat capacity Planck distribution Normal mode enumeration Density of states in one dimension Density of states in three dimension Debye Model for
More informationAtomic Structure. Chapter 8
Atomic Structure Chapter 8 Overview To understand atomic structure requires understanding a special aspect of the electron - spin and its related magnetism - and properties of a collection of identical
More information2m 2 Ze2. , where δ. ) 2 l,n is the quantum defect (of order one but larger
PHYS 402, Atomic and Molecular Physics Spring 2017, final exam, solutions 1. Hydrogenic atom energies: Consider a hydrogenic atom or ion with nuclear charge Z and the usual quantum states φ nlm. (a) (2
More informationFrom Optical Pumping to Quantum Gases
From Optical Pumping to Quantum Gases Claude Cohen-Tannoudji 22 nd International Conference on Atomic Physics Cairns, Australia, 26 July 2010 Collège de France 1 2010 : three anniversaries 60 th anniversary
More informationSYNTHETIC GAUGE FIELDS IN ULTRACOLD ATOMIC GASES
Congresso Nazionale della Società Italiana di Fisica Università della Calabria 17/21 Settembre 2018 SYNTHETIC GAUGE FIELDS IN ULTRACOLD ATOMIC GASES Sandro Stringari Università di Trento CNR-INO - Bose-Einstein
More informationFERMI-HUBBARD PHYSICS WITH ATOMS IN AN OPTICAL LATTICE 1
FERMI-HUBBARD PHYSICS WITH ATOMS IN AN OPTICAL LATTICE 1 Tilman Esslinger, Department of Physics, ETH Zurich, Switzerland ABSTRACT The Fermi-Hubbard model is a key concept in condensed matter physics and
More informationWolfgang Demtroder. Molecular Physics. Theoretical Principles and Experimental Methods WILEY- VCH. WILEY-VCH Verlag GmbH & Co.
Wolfgang Demtroder Molecular Physics Theoretical Principles and Experimental Methods WILEY- VCH WILEY-VCH Verlag GmbH & Co. KGaA v Preface xiii 1 Introduction 1 1.1 Short Historical Overview 2 1.2 Molecular
More informationInternational Physics Course Entrance Examination Questions
International Physics Course Entrance Examination Questions (May 2010) Please answer the four questions from Problem 1 to Problem 4. You can use as many answer sheets you need. Your name, question numbers
More informationQuantum. Mechanics. Y y. A Modern Development. 2nd Edition. Leslie E Ballentine. World Scientific. Simon Fraser University, Canada TAIPEI BEIJING
BEIJING TAIPEI Quantum Mechanics A Modern Development 2nd Edition Leslie E Ballentine Simon Fraser University, Canada Y y NEW JERSEY LONDON SINGAPORE World Scientific SHANGHAI HONG KONG CHENNAI Contents
More informationQuantum Field Theory. Kerson Huang. Second, Revised, and Enlarged Edition WILEY- VCH. From Operators to Path Integrals
Kerson Huang Quantum Field Theory From Operators to Path Integrals Second, Revised, and Enlarged Edition WILEY- VCH WILEY-VCH Verlag GmbH & Co. KGaA I vh Contents Preface XIII 1 Introducing Quantum Fields
More informationVortices and other topological defects in ultracold atomic gases
Vortices and other topological defects in ultracold atomic gases Michikazu Kobayashi (Kyoto Univ.) 1. Introduction of topological defects in ultracold atoms 2. Kosterlitz-Thouless transition in spinor
More informationIndex. Symbols 4-vector of current density, 320, 339
709 Index Symbols 4-vector of current density, 320, 339 A action for an electromagnetic field, 320 adiabatic invariants, 306 amplitude, complex, 143 angular momentum tensor of an electromagnetic field,
More informationPractical Quantum Mechanics
Siegfried Flügge Practical Quantum Mechanics With 78 Figures Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong Kong Barcelona Budapest Contents Volume I I. General Concepts 1. Law of probability
More informationDEPARTMENT OF PHYSICS
Department of Physics 1 DEPARTMENT OF PHYSICS Office in Engineering Building, Room 124 (970) 491-6206 physics.colostate.edu (http://www.physics.colostate.edu) Professor Jacob Roberts, Chair Undergraduate
More informationPrinciples of Magnetic Resonance
С. Р. Slichter Principles of Magnetic Resonance Third Enlarged and Updated Edition With 185 Figures Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong Kong Contents 1. Elements of Resonance
More informationLectures on Quantum Gases. Chapter 5. Feshbach resonances. Jook Walraven. Van der Waals Zeeman Institute University of Amsterdam
Lectures on Quantum Gases Chapter 5 Feshbach resonances Jook Walraven Van der Waals Zeeman Institute University of Amsterdam http://.../walraven.pdf 1 Schrödinger equation thus far: fixed potential What
More informationBose-Einstein Condensate: A New state of matter
Bose-Einstein Condensate: A New state of matter KISHORE T. KAPALE June 24, 2003 BOSE-EINSTEIN CONDENSATE: A NEW STATE OF MATTER 1 Outline Introductory Concepts Bosons and Fermions Classical and Quantum
More informationThe Raman Effect. A Unified Treatment of the Theory of Raman Scattering by Molecules. DerekA. Long
The Raman Effect A Unified Treatment of the Theory of Raman Scattering by Molecules DerekA. Long Emeritus Professor ofstructural Chemistry University of Bradford Bradford, UK JOHN WILEY & SONS, LTD Vll
More informationCMSC 33001: Novel Computing Architectures and Technologies. Lecture 06: Trapped Ion Quantum Computing. October 8, 2018
CMSC 33001: Novel Computing Architectures and Technologies Lecturer: Kevin Gui Scribe: Kevin Gui Lecture 06: Trapped Ion Quantum Computing October 8, 2018 1 Introduction Trapped ion is one of the physical
More informationSpin-injection Spectroscopy of a Spin-orbit coupled Fermi Gas
Spin-injection Spectroscopy of a Spin-orbit coupled Fermi Gas Tarik Yefsah Lawrence Cheuk, Ariel Sommer, Zoran Hadzibabic, Waseem Bakr and Martin Zwierlein July 20, 2012 ENS Why spin-orbit coupling? A
More informationA Chromium BEC in strong RF fields
Laboratoire de Physique des Lasers Université Paris Nord Villetaneuse - France A Chromium BEC in strong RF fields Benjamin Pasquiou, Gabriel Bismut, Paolo Pedri, Bruno Laburthe- Tolra, Etienne Maréchal,
More informationExperimental realization of spin-orbit coupling in degenerate Fermi gas. Jing Zhang
QC12, Pohang, Korea Experimental realization of spin-orbit coupling in degenerate Fermi gas Jing Zhang State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Opto-Electronics,
More informationFACULTY OF SCIENCES SYLLABUS FOR. B.Sc. (Non-Medical) PHYSICS PART-II. (Semester: III, IV) Session: , MATA GUJRI COLLEGE
FACULTY OF SCIENCES SYLLABUS FOR B.Sc. (Non-Medical) PHYSICS PART-II (Semester: III, IV) Session: 2017 2018, 2018-2019 MATA GUJRI COLLEGE FATEHGARH SAHIB-140406, PUNJAB ----------------------------------------------------------
More informationDepartment of Physics
Classical Mechanics PHY(C)-102 M. Sc. 1st Year (Sem. 1st) Newtonian mechanics of one and many particle systems; conservation laws, constraints, their classification; D' Alembert's principle, Lagrange's
More informationPrecision Interferometry with a Bose-Einstein Condensate. Cass Sackett. Research Talk 17 October 2008
Precision Interferometry with a Bose-Einstein Condensate Cass Sackett Research Talk 17 October 2008 Outline Atom interferometry Bose condensates Our interferometer One application What is atom interferometry?
More informationConclusion. 109m Ag isomer showed that there is no such broadening. Because one can hardly
Conclusion This small book presents a description of the results of studies performed over many years by our research group, which, in the best period, included 15 physicists and laboratory assistants
More informationEffects of electric static and laser fields on cold collisions of polar molecules. Roman Krems University of British Columbia
Effects of electric static and laser fields on cold collisions of polar molecules Roman Krems University of British Columbia UBC group: Zhiying Li Timur Tscherbul Erik Abrahamsson Sergey Alyabishev Chris
More informationNon-equilibrium Dynamics in Ultracold Fermionic and Bosonic Gases
Non-equilibrium Dynamics in Ultracold Fermionic and Bosonic Gases Michael KöhlK ETH Zürich Z (www.quantumoptics.ethz.ch( www.quantumoptics.ethz.ch) Introduction Why should a condensed matter physicist
More informationPart I. Principles and techniques
Part I Principles and techniques 1 General principles and characteristics of optical magnetometers D. F. Jackson Kimball, E. B. Alexandrov, and D. Budker 1.1 Introduction Optical magnetometry encompasses
More informationModern Physics for Scientists and Engineers International Edition, 4th Edition
Modern Physics for Scientists and Engineers International Edition, 4th Edition http://optics.hanyang.ac.kr/~shsong 1. THE BIRTH OF MODERN PHYSICS 2. SPECIAL THEORY OF RELATIVITY 3. THE EXPERIMENTAL BASIS
More informationNERS 311 Current Old notes notes Chapter Chapter 1: Introduction to the course 1 - Chapter 1.1: About the course 2 - Chapter 1.
NERS311/Fall 2014 Revision: August 27, 2014 Index to the Lecture notes Alex Bielajew, 2927 Cooley, bielajew@umich.edu NERS 311 Current Old notes notes Chapter 1 1 1 Chapter 1: Introduction to the course
More informationPHYS598 AQG Introduction to the course
PHYS598 AQG Introduction to the course First quantum gas in dilute atomic vapors 87 Rb BEC : Wieman / Cornell group (1995) Logistics A bit about the course material Logistics for the course Website: https://courses.physics.illinois.edu/phys598aqg/fa2017/
More informationAccelerator Physics. Tip World Scientific NEW JERSEY LONDON SINGAPORE BEIJING SHANGHAI HONG KONG TAIPEI BANGALORE. Second Edition. S. Y.
Accelerator Physics Second Edition S. Y. Lee Department of Physics, Indiana University Tip World Scientific NEW JERSEY LONDON SINGAPORE BEIJING SHANGHAI HONG KONG TAIPEI BANGALORE Contents Preface Preface
More informationQuantum Gases. Subhadeep Gupta. UW REU Seminar, 11 July 2011
Quantum Gases Subhadeep Gupta UW REU Seminar, 11 July 2011 Ultracold Atoms, Mixtures, and Molecules Subhadeep Gupta UW REU Seminar, 11 July 2011 Ultracold Atoms High sensitivity (large signal to noise,
More informationPhysics 221A Fall 1996 Notes 21 Hyperfine Structure in Hydrogen and Alkali Atoms
Physics 221A Fall 1996 Notes 21 Hyperfine Structure in Hydrogen and Alkali Atoms Hyperfine effects in atomic physics are due to the interaction of the atomic electrons with the electric and magnetic multipole
More informationCold Controlled Chemistry. Roman Krems University of British Columbia
Cold Controlled Chemistry Roman Krems University of British Columbia Sergey Alyabyshev Timur Tscherbul Zhiying Li Outline Cold and ultracold molecules - denitions Chemistry at ultracold temperatures External
More informationRevolution in Physics. What is the second quantum revolution? Think different from Particle-Wave Duality
PHYS 34 Modern Physics Ultracold Atoms and Trappe Ions Today and Mar.3 Contents: a) Revolution in physics nd Quantum revolution b) Quantum simulation, measurement, and information c) Atomic ensemble and
More informationCold fermions, Feshbach resonance, and molecular condensates (II)
Cold fermions, Feshbach resonance, and molecular condensates (II) D. Jin JILA, NIST and the University of Colorado I. Cold fermions II. III. Feshbach resonance BCS-BEC crossover (Experiments at JILA) $$
More informationThe phases of matter familiar for us from everyday life are: solid, liquid, gas and plasma (e.f. flames of fire). There are, however, many other
1 The phases of matter familiar for us from everyday life are: solid, liquid, gas and plasma (e.f. flames of fire). There are, however, many other phases of matter that have been experimentally observed,
More informationReference for most of this talk:
Cold fermions Reference for most of this talk: W. Ketterle and M. W. Zwierlein: Making, probing and understanding ultracold Fermi gases. in Ultracold Fermi Gases, Proceedings of the International School
More informationLecture Notes. Quantum Theory. Prof. Maximilian Kreuzer. Institute for Theoretical Physics Vienna University of Technology. covering the contents of
Lecture Notes Quantum Theory by Prof. Maximilian Kreuzer Institute for Theoretical Physics Vienna University of Technology covering the contents of 136.019 Quantentheorie I and 136.027 Quantentheorie II
More informationMath Questions for the 2011 PhD Qualifier Exam 1. Evaluate the following definite integral 3" 4 where! ( x) is the Dirac! - function. # " 4 [ ( )] dx x 2! cos x 2. Consider the differential equation dx
More informationATOMIC AND LASER SPECTROSCOPY
ALAN CORNEY ATOMIC AND LASER SPECTROSCOPY CLARENDON PRESS OXFORD 1977 Contents 1. INTRODUCTION 1.1. Planck's radiation law. 1 1.2. The photoelectric effect 4 1.3. Early atomic spectroscopy 5 1.4. The postulates
More informationLecture 11: Polarized Light. Fundamentals of Polarized Light. Descriptions of Polarized Light. Scattering Polarization. Zeeman Effect.
Lecture 11: Polarized Light Outline 1 Fundamentals of Polarized Light 2 Descriptions of Polarized Light 3 Scattering Polarization 4 Zeeman Effect 5 Hanle Effect Fundamentals of Polarized Light Electromagnetic
More informationAtom-molecule molecule collisions in spin-polarized polarized alkalis: potential energy surfaces and quantum dynamics
Atom-molecule molecule collisions in spin-polarized polarized alkalis: potential energy surfaces and quantum dynamics Pavel Soldán, Marko T. Cvitaš and Jeremy M. Hutson University of Durham with Jean-Michel
More informationGeneralization to Absence of Spherical Symmetry p. 48 Scattering by a Uniform Sphere (Mie Theory) p. 48 Calculation of the [characters not
Scattering of Electromagnetic Waves p. 1 Formalism and General Results p. 3 The Maxwell Equations p. 3 Stokes Parameters and Polarization p. 4 Definition of the Stokes Parameters p. 4 Significance of the
More informationConference on Research Frontiers in Ultra-Cold Atoms. 4-8 May Generation of a synthetic vector potential in ultracold neutral Rubidium
3-8 Conference on Research Frontiers in Ultra-Cold Atoms 4-8 May 9 Generation of a synthetic vector potential in ultracold neutral Rubidium SPIELMAN Ian National Institute of Standards and Technology Laser
More informationPOLAR MOLECULES NEAR QUANTUM DEGENERACY *
POLAR MOLECULES NEAR QUANTUM DEGENERACY * JUN YE AND DEBORAH S. JIN JILA, National Institute of Standards and Technology and University of Colorado Department of Physics, University of Colorado, Boulder,
More informationStudy Plan for Ph.D in Physics (2011/2012)
Plan Study Plan for Ph.D in Physics (2011/2012) Offered Degree: Ph.D in Physics 1. General Rules and Conditions:- This plan conforms to the regulations of the general frame of the higher graduate studies
More informationTable of Contents [ttc]
Table of Contents [ttc] 1. Equilibrium Thermodynamics I: Introduction Thermodynamics overview. [tln2] Preliminary list of state variables. [tln1] Physical constants. [tsl47] Equations of state. [tln78]
More informationExcitation of high angular momentum Rydberg states
J. Phys. B: At. Mol. Phys. 19 (1986) L461-L465. Printed in Great Britain LE ITER TO THE EDITOR Excitation of high angular momentum Rydberg states W A Molanderi, C R Stroud Jr and John A Yeazell The Institute
More information