EE 223 Applied Quantum Mechanics 2 Winter 2016
|
|
- Hannah Cook
- 5 years ago
- Views:
Transcription
1 EE 223 Applied Quantum Mechanics 2 Winter 2016 Syllabus and Textbook references Version as of 12/29/15 subject to revisions and changes All the in-class sessions, paper problem sets and assignments, and all the online lessons (e.g., 1.1) and units (e.g., 1.1.1) for this class are listed below. Mostly, there are two inclass sessions one reviewing the previous week and the other introducing new material to support the paper problems and assignments and three online lessons each week. The titles for all of these sections and the in-class lectures should give a good sense of the material being covered. Section numbers at the beginnings of the lines below (e.g., 1.2 and 1.2.3) refer to the corresponding sections (lessons or units) of the online course. The numbering here continues on from that of EE222. References below to QMSE are to sections in the book Quantum Mechanics for Scientists and Engineers by David A. B. Miller (Cambridge, 2008), which is the recommended text for this class. The due dates for the various online and paper quizzes, problem sets and assignments are also listed below. (There are no exams so no exam times are shown.) Week 10 (starting Monday 1/4/16) Monday 1/4/16 11:30 a.m. Gates B01 Session Introduction to the class (and introduction to Bravais lattices) Friday 1/8/16 11:30 a.m. Gates B01 Session Lecture/discussion Modeling a one-dimensional square periodic potential (supplementary lecture notes) Hand out supplementary lecture notes Paper Problem Set 1 handed out due 11:30 a.m. Friday 1/15/16 Posted 1/4/16. Quizzes due 12 noon, Wednesday, 1/13/16. Assignment due 12 noon Wednesday 1/13/ Quantum mechanics in crystals Introduction to quantum mechanics in crystals QMSE Chapter 8 Introduction Crystal structures QMSE Bloch theorem Periodic boundary conditions QMSE (through Eq. 8.6) Bloch theorem derivation QMSE 8.3 (from Eq. 8.7) Density of states in k-space QMSE 8.4 1
2 Week 11 (starting Monday 1/11/16) Monday 1/11/16 11:30 a.m. Gates B01 Session Review and discussion of Week 10 material. Extended discussion of emergence of band structures. Friday 1/15/16 11:30 a.m. Gates B01 Lecture k.p theory QMSE 8.9 (Note: this topic is needed for paper Problem Set 2 (handed out today) and for paper Assignment 1, which will be handed out later) Paper Problem Set 1 due 11:30 a.m. Paper Problem Set 2 handed out due 11:30 a.m. Monday 1/25/16 Posted 1/8/16. Quizzes due 11:30 a.m. Friday, 1/15/16. Assignment due 12 noon Wednesday 1/20/ Band structures Band structures QMSE 8.5 introduction Band structure diagrams QMSE Semiconductors, insulators and metals QMSE Band structures in 3D QMSE Effective mass theory Effective mass approximation QMSE 8.6 (up to ~ Eq. 8.29) Wavepackets and effective mass theory QMSE 8.6 (from ~ Eq to Effective mass approximation subsection) Semiconductor heterostructures QMSE 8.6 ( Effective mass approximation subsection) 11.3 Density of states Energy density of states in bulk crystals QMSE Quantum wells QMSE 8.8 through end of Formal separation subsection Density of states in quantum wells QMSE 8.8 from Quantum well subsection Week 12 (starting Monday 1/18/16) (Monday 1/18/16 no class (holiday)) Friday 1/22/16 11:30 a.m. Gates B01 Lecture - Emission and barriers QMSE 11.4 Paper Problem Set 3 handed out due 11:30 a.m. Friday 1/29/16 Note there are only two online lessons this week, though these are each longer than usual Posted 1/15/16. Quizzes due 11:30 a.m. Friday, 1/22/16. Assignment due 12 noon Wednesday 1/27/ Optical absorption in semiconductors Introduction to optical absorption in semiconductors 2
3 Perturbing Hamiltonian QMSE 8.10 through Form of the perturbing (with Appendix E for optional background) Direct transitions QMSE 8.10 subsection Direct valence through paragraph after Eq Transitioning from sums to integrals QMSE Total transition rate QMSE 8.10 subsection Direct valence starting above Eq through Eq Absorption coefficient QMSE 8.10 starting just above Eq Methods for one-dimensional problems Introduction to methods for one-dimensional problems QMSE Chapter 11 introduction Tunneling currents QMSE Transfer matrix method QMSE 11.2 up to Calculation of eigenenergies Transfer matrix and bound states QMSE 11.2 from Calculation of eigenenergies Penetration factor for slowly varying barriers QMSE 11.3 Week 13 (starting Monday 1/25/16) Monday 1/25/16 11:30 a.m. Gates B01 Session Review and discussion of Weeks 11 and 12 material and introduction to Assignment 1. Paper Problem Set 2 due 11:30 a.m. Assignment 1 handed out due Monday 11:30 a.m. 2/8/16 Friday 1/29/16 11:30 a.m. Gates B01 Lecture Continuation of discussion of Week 12 material and applications and use of transfer matrix and tunneling resonance programs Paper Problem Set 3 due 11:30 a.m. Paper Problem Set 4 handed out due 11:30 a.m. Friday 2/5/16 Posted 1/22/16. Quizzes due 11:30 a.m. Friday, 1/29/16. Assignment due 12 noon Wednesday 2/3/ Electron spin Introduction to electron spin QMSE Chapter 12 introduction Angular momentum and magnetic moments QMSE Spin angular momentum QMSE Operators for spin angular momentum QMSE Spin states Visualizing spin states QMSE Wavefunctions, spin and Hilbert space QMSE The Pauli equation QMSE Where does spin come from? QMSE Identical particles and exchange Scattering identical particles QMSE 13.1 up to Eq Fermions and bosons QMSE 13.1 last 4 paragraphs, and
4 States, single-particle states, and modes QMSE Exchange energy QMSE 13.4 Week 14 (starting Monday 2/1/16) Monday 2/1/16 11:30 a.m. Gates B01 Session Review and discussion of Week 13 material Friday 2/5/16 11:30 a.m. Gates B01 Lecture Planck distribution and black body radiation Paper Problem Set 4 due 11:30 a.m. Paper Problem Set 5 handed out due 11:30 a.m. Friday 2/12/16 Posted 1/29/16. Quizzes due 11:30 a.m. Friday, 2/5/16. Assignment due 12 noon Wednesday 2/10/ States of identical particles Multiple particle states QMSE Multiple particle basis functions QMSE 13.6 up to Eq Numbers of states QMSE 13.6 subsection Example numbers of states 14.2 Multiple particle distributions Thermal distributions QMSE Examples of states of multiple identical particles QMSE Quantum mechanical particles reconsidered QMSE Operators for harmonic oscillators Raising and lowering operators QMSE 15.1 up to Eq Properties of raising and lower operators QMSE 15.1 from Properties of raising Hamilton's equations QMSE 15.2 Week 15 (starting Monday 2/8/16) Monday 2/8/16 11:30 a.m. Gates B01 Session Review and discussion of Week 14 material Assignment 1 due 11:30 a.m. Friday 2/12/16 11:30 a.m. Gates B01 Lecture Review and discussion of Week 14 material (continued) Discussion of Assignment 2, and start of Review of Week 15 Paper Problem Set 5 due 11:30 a.m. Paper Problem Set 6 handed out due 11:30 a.m. Friday 2/19/16 Assignment 2 handed out due 11:30 a.m. Monday 2/29/16 Posted 2/5/16. Quizzes due 11:30 a.m. Friday, 2/12/16. Assignment due 12 noon Wednesday 2/17/ Quantizing the electromagnetic field Field modes as oscillators QMSE 15.3 subsection Description of a mode Electromagnetic mode Hamiltonian QMSE 15.3 from subsection Hamiltonian for to the paragraph after Eq
5 Quantum states of an electromagnetic mode QMSE 15.3 from two paragraphs above Eq to end of Field operators QMSE Quantum states of the electromagnetic field Number states QMSE 15.6 to end of subsection Representation of time dependence The coherent state QMSE 15.6 subsection Coherent state Sets of modes QMSE 15.7 to start of Multimode photon states Multimode photon states QMSE 15.7 subsection Multimode photon states Multimode operators QMSE 15.7 subsection Commutation relations to end 15.3 Fermion annihilation and creation operators Describing fermion states QMSE Chapter 16 introduction and Section 16.1 up to beginning of Fermion creation operators Creation operators QMSE 16.1 subsection Fermion creation operators Annihilation operators QMSE 16.1 subsection Fermion annihilation operators Mixtures of creation and annihilation operators QMSE 16.1 subsection Mixtures of creation and annihilation operators Week 16 (starting Monday 2/15/16) (Monday 2/15/16 no class (holiday)) (Wednesday 2/17/16 no class) Friday 2/19/16 11:30 a.m. Gates B01 Session Continue review of Week 15 material Paper Problem Set 6 due 11:30 a.m. Paper Problem Set 7 handed out due 11:30 a.m. Friday 2/26/16 Posted 2/12/16. Quizzes due 11:30 a.m. Friday, 2/19/16. Assignment due 12 noon Wednesday 2/24/ Fermion wavefunction and Hamiltonian operators Wavefunction operator QMSE Representing fermion Hamiltonians QMSE 16.3 up to paragraph after Eq Fermion Hamiltonians with multiple particle states QMSE 16.3 subsection Single particle fermion Hamiltonians with multiple particle states 16.2 Fermion operators and multiple particles Single-particle fermion operators QMSE 16.3 subsection Representation of general single-particle fermion operators Two-particle fermion operators QMSE 16.3 subsection Two-particle fermion operators 16.3 Interaction of different particles States with different kinds of particles QMSE Electron photon interaction QMSE
6 Rewriting perturbation theory QMSE Photon absorption QMSE 17.4 through end of subsection Absorption Week 17 (starting Monday 2/22/16) Monday 2/22/16 11:30 a.m. Gates B01 Session Continued review of Week 16 material Friday 2/26/16 11:30 a.m. Gates B01 Session Review of Week 16 and 17 absorption and emission material Paper Problem Set 7 due 11:30 a.m. Paper Problem Set 8 handed out due 11:30 a.m. Friday 3/4/16 Posted 2/19/16. Quizzes due 11:30 a.m. Friday, 2/26/16. Assignment due 12 noon Wednesday 3/2/ Spontaneous and stimulated emission Spontaneous emission QMSE 17.4 subsection Spontaneous emission Stimulated emission QMSE 17.4 subsections Stimulated emission and Multiple-photon case Total spontaneous emission rate QMSE 17.4 subsection Total spontaneous emission rate 17.2 Mixed states and the density matrix Introduction to mixed states and the density matrix QMSE Chapter 14 introduction Pure and mixed states QMSE 14.1 (first part) Mixed states with potential wells QMSE 14.1 (second part) Representing mixed states QMSE 14.2 and 14.3 up through Eq Properties of the density matrix QMSE 14.3 (remainder) Time-evolution of the density matrix QMSE The density matrix and optical absorption Induced dipole and a two-level system QMSE 14.5 through Eq Behavior of the density matrix in time QMSE 14.5 from Eq through the paragraph after Eq Behavior with oscillating field QMSE 14.5 from paragraph above Eq through Fig Density matrix and nonlinear optics QMSE 14.5 after Fig. 14.1, and 14.6 Week 18 (starting Monday 2/29/16) Monday 2/29/16 11:30 a.m. Gates B01 Session Review of Total spontaneous emission rate from Week 17. Preparation for assignment 3. Assignment 2 due 11:30 a.m. Assignment 3 handed out due 11:30 a.m. Friday 3/11/16 Friday 3/4/16 11:30 a.m. Gates B01 Lecture Review of density matrix from Week 17 Paper Problem Set 8 due 11:30 a.m. 6
7 Paper Problem Set 9 handed out due 11:30 a.m. Friday 3/11/16 Posted 2/26/16. Quizzes due 11:30 a.m. Friday, 3/4/16. Assignment due 12 noon Wednesday 3/9/ Quantum measurements and encryption Representing information QMSE Chapter 18 introduction Collapse and the no-cloning theorem QMSE 18.1 and 18.2 through No cloning theorem subsection Quantum cryptography QMSE 18.2 subsection A simple quantum encryption scheme 18.2 Quantum computing, teleportation and entanglement Entanglement QMSE Quantum computing and qubits QMSE Running a quantum computer QMSE Quantum teleportation QMSE Hidden variables and Bell s inequalities EPR paradox and hidden variables QMSE Bell s inequalities QMSE 19.1 Week 19 (starting Monday 3/7/16) Monday 3/7/16 11:30 a.m. Gates B01 Session Review of Week 18 material Friday 3/11/16 11:30 a.m. Gates B01 Session Interpretation of quantum mechanics instead of online (delayed online version release to after this lecture) Assignment 3 due 11:30 a.m. Problem set 9 due 11:30 a.m. Posted 3/11/16 after the last lecture. Note there are no quizzes or online assignments this week Interpretation of quantum mechanics The measurement problem QMSE Interpretations of quantum mechanics QMSE
Quantum Mechanics for Scientists and Engineers
Quantum Mechanics for Scientists and Engineers Syllabus and Textbook references All the main lessons (e.g., 1.1) and units (e.g., 1.1.1) for this class are listed below. Mostly, there are three lessons
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 informationA. F. J. Levi 1 EE539: Engineering Quantum Mechanics. Fall 2017.
A. F. J. Levi 1 Engineering Quantum Mechanics. Fall 2017. TTh 9.00 a.m. 10.50 a.m., VHE 210. Web site: http://alevi.usc.edu Web site: http://classes.usc.edu/term-20173/classes/ee EE539: Abstract and Prerequisites
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 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. 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 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 informationTheory and Experiment
Theory and Experiment Mark Beck OXPORD UNIVERSITY PRESS Contents Table of Symbols Preface xiii xix 1 MATHEMATICAL PRELIMINARIES 3 1.1 Probability and Statistics 3 1.2 LinearAlgebra 9 1.3 References 17
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 informationElements of Quantum Optics
Pierre Meystre Murray Sargent III Elements of Quantum Optics Fourth Edition With 124 Figures fya Springer Contents 1 Classical Electromagnetic Fields 1 1.1 Maxwell's Equations in a Vacuum 2 1.2 Maxwell's
More informationQuantum 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 optics. Marian O. Scully Texas A&M University and Max-Planck-Institut für Quantenoptik. M. Suhail Zubairy Quaid-i-Azam University
Quantum optics Marian O. Scully Texas A&M University and Max-Planck-Institut für Quantenoptik M. Suhail Zubairy Quaid-i-Azam University 1 CAMBRIDGE UNIVERSITY PRESS Preface xix 1 Quantum theory of radiation
More informationPhysics 280 Quantum Mechanics Lecture III
Summer 2016 1 1 Department of Physics Drexel University August 17, 2016 Announcements Homework: practice final online by Friday morning Announcements Homework: practice final online by Friday morning Two
More informationa = ( a σ )( b σ ) = a b + iσ ( a b) mω 2! x + i 1 2! x i 1 2m!ω p, a = mω 2m!ω p Physics 624, Quantum II -- Final Exam
Physics 624, Quantum II -- Final Exam Please show all your work on the separate sheets provided (and be sure to include your name). You are graded on your work on those pages, with partial credit where
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 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 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 informationjoint density of states, 189, 235
Index A absorption, 188 90, 195, 226, 231 37, 253, 257, 298, 348, 412 14, 417, 519 22 saturation, 349 two-photon, 231 adjoint, 96, 480, 484 Airy functions, 42 43, 529 30 Ångstrom, 15 angular momentum,
More information3.23 Electrical, Optical, and Magnetic Properties of Materials
MIT OpenCourseWare http://ocw.mit.edu 3.23 Electrical, Optical, and Magnetic Properties of Materials Fall 2007 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms.
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 informationHW posted on web page HW10: Chap 14 Concept 8,20,24,26 Prob. 4,8. From Last Time
HW posted on web page HW10: Chap 14 Concept 8,20,24,26 Prob. 4,8 From Last Time Philosophical effects in quantum mechanics Interpretation of the wave function: Calculation using the basic premises of quantum
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 informationIntroduction to Modern Physics
SECOND EDITION Introduction to Modern Physics John D. McGervey Case Western Reserve University Academic Press A Subsidiary of Harcourt Brace Jovanovich Orlando San Diego San Francisco New York London Toronto
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 informationSyllabus: Physics 241 Introduction to Modern Physics Professor Marshall Onellion (office)
1 Syllabus: Physics 241 Introduction to Modern Physics Professor Marshall Onellion (office) 263-6829 Office hours: onellion@wisc.edu MW: 10am- 1pm, F: 10am- noon, or by appointment Text: Kenneth Krane,
More informationwhere n = (an integer) =
5.111 Lecture Summary #5 Readings for today: Section 1.3 (1.6 in 3 rd ed) Atomic Spectra, Section 1.7 up to equation 9b (1.5 up to eq. 8b in 3 rd ed) Wavefunctions and Energy Levels, Section 1.8 (1.7 in
More informationDepartment of Physics & Astronomy Trent University
Department of Physics & Astronomy Trent University PHYS 2610H : INTRODUCTORY QUANTUM PHYSICS 2017FA PETERBOROUGH Instructor: Balaji Subramanian Campus: Peterborough balajisubramanian@trentu.ca SC 322 15063375166
More informationPRINCIPLES OF NONLINEAR OPTICAL SPECTROSCOPY
PRINCIPLES OF NONLINEAR OPTICAL SPECTROSCOPY Shaul Mukamel University of Rochester Rochester, New York New York Oxford OXFORD UNIVERSITY PRESS 1995 Contents 1. Introduction 3 Linear versus Nonlinear Spectroscopy
More informationinterband transitions in semiconductors M. Fox, Optical Properties of Solids, Oxford Master Series in Condensed Matter Physics
interband transitions in semiconductors M. Fox, Optical Properties of Solids, Oxford Master Series in Condensed Matter Physics interband transitions in quantum wells Atomic wavefunction of carriers in
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 information1.0 Introduction to Quantum Systems for Information Technology 1.1 Motivation
QSIT09.V01 Page 1 1.0 Introduction to Quantum Systems for Information Technology 1.1 Motivation What is quantum mechanics good for? traditional historical perspective: beginning of 20th century: classical
More informationIntroduction to Quantum Mechanics PVK - Solutions. Nicolas Lanzetti
Introduction to Quantum Mechanics PVK - Solutions Nicolas Lanzetti lnicolas@student.ethz.ch 1 Contents 1 The Wave Function and the Schrödinger Equation 3 1.1 Quick Checks......................................
More informationAtoms, Molecules and Solids. From Last Time Superposition of quantum states Philosophy of quantum mechanics Interpretation of the wave function:
Essay outline and Ref to main article due next Wed. HW 9: M Chap 5: Exercise 4 M Chap 7: Question A M Chap 8: Question A From Last Time Superposition of quantum states Philosophy of quantum mechanics Interpretation
More informationSYLLABUS ELEC 261: ELECTRONIC MATERIALS AND QUANTUM DEVICES SUMMER 2018
SYLLABUS ELEC 261: ELECTRONIC MATERIALS AND QUANTUM DEVICES SUMMER 2018 Credit Hours: 3 Time and Place: Online Course Summer Session II: May 29 June 29, 2018 Instructors: Junichiro Kono, Professor of Electrical
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 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 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 informationNotes on x-ray scattering - M. Le Tacon, B. Keimer (06/2015)
Notes on x-ray scattering - M. Le Tacon, B. Keimer (06/2015) Interaction of x-ray with matter: - Photoelectric absorption - Elastic (coherent) scattering (Thomson Scattering) - Inelastic (incoherent) scattering
More informationLecture notes for QFT I (662)
Preprint typeset in JHEP style - PAPER VERSION Lecture notes for QFT I (66) Martin Kruczenski Department of Physics, Purdue University, 55 Northwestern Avenue, W. Lafayette, IN 47907-036. E-mail: markru@purdue.edu
More informationMatter-Radiation Interaction
Matter-Radiation Interaction The purpose: 1) To give a description of the process of interaction in terms of the electronic structure of the system (atoms, molecules, solids, liquid or amorphous samples).
More informationLecture 6 Photons, electrons and other quanta. EECS Winter 2006 Nanophotonics and Nano-scale Fabrication P.C.Ku
Lecture 6 Photons, electrons and other quanta EECS 598-002 Winter 2006 Nanophotonics and Nano-scale Fabrication P.C.Ku From classical to quantum theory In the beginning of the 20 th century, experiments
More informationChapter 3. Electromagnetic Theory, Photons. and Light. Lecture 7
Lecture 7 Chapter 3 Electromagnetic Theory, Photons. and Light Sources of light Emission of light by atoms The electromagnetic spectrum see supplementary material posted on the course website Electric
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 informationΑΒΓΔΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΩ αβγδεζηθικλμνξοπρςστυφχψω +<=>± ħ
CHAPTER 1. SECOND QUANTIZATION In Chapter 1, F&W explain the basic theory: Review of Section 1: H = ij c i < i T j > c j + ij kl c i c j < ij V kl > c l c k for fermions / for bosons [ c i, c j ] = [ c
More informationLecture 21: Lasers, Schrödinger s Cat, Atoms, Molecules, Solids, etc. Review and Examples. Lecture 21, p 1
Lecture 21: Lasers, Schrödinger s Cat, Atoms, Molecules, Solids, etc. Review and Examples Lecture 21, p 1 Act 1 The Pauli exclusion principle applies to all fermions in all situations (not just to electrons
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 informationQuantum Optics and Quantum Informatics FKA173
Quantum Optics and Quantum Informatics FKA173 Date and time: Tuesday, 7 October 015, 08:30-1:30. Examiners: Jonas Bylander (070-53 44 39) and Thilo Bauch (0733-66 13 79). Visits around 09:30 and 11:30.
More informationElectronic and Optoelectronic Properties of Semiconductor Structures
Electronic and Optoelectronic Properties of Semiconductor Structures Jasprit Singh University of Michigan, Ann Arbor CAMBRIDGE UNIVERSITY PRESS CONTENTS PREFACE INTRODUCTION xiii xiv 1.1 SURVEY OF ADVANCES
More informationQuantum Computation with Neutral Atoms Lectures 14-15
Quantum Computation with Neutral Atoms Lectures 14-15 15 Marianna Safronova Department of Physics and Astronomy Back to the real world: What do we need to build a quantum computer? Qubits which retain
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 informationquantum mechanics is a hugely successful theory... QSIT08.V01 Page 1
1.0 Introduction to Quantum Systems for Information Technology 1.1 Motivation What is quantum mechanics good for? traditional historical perspective: beginning of 20th century: classical physics fails
More informationWhen I hear of Schrödinger s cat, I reach for my gun. --Stephen W. Hawking. Lecture 21, p 1
When I hear of Schrödinger s cat, I reach for my gun. --Stephen W. Hawking Lecture 21, p 1 Lecture 21: Lasers, Schrödinger s Cat, Atoms, Molecules, Solids, etc. Review and Examples Lecture 21, p 2 Act
More informationIntroduction to Modern Quantum Optics
Introduction to Modern Quantum Optics Jin-Sheng Peng Gao-Xiang Li Huazhong Normal University, China Vfe World Scientific» Singapore* * NewJerseyL Jersey* London* Hong Kong IX CONTENTS Preface PART I. Theory
More informationChemistry 218 Spring Molecular Structure
Chemistry 218 Spring 2015-2016 Molecular Structure R. Sultan COURSE SYLLABUS Email: rsultan@aub.edu.lb Homepage: http://staff.aub.edu.lb/~rsultan/ Lectures: 12:30-13:45 T, Th. 101 Chemistry Textbook: P.
More informationMany-Body Problems and Quantum Field Theory
Philippe A. Martin Francois Rothen Many-Body Problems and Quantum Field Theory An Introduction Translated by Steven Goldfarb, Andrew Jordan and Samuel Leach Second Edition With 102 Figures, 7 Tables and
More informationEC 577 / MS 577: Electrical Optical and Magnetic Properties of Materials Professor Theodore. D. Moustakas Fall Semester 2012
EC 577 / MS 577: Electrical Optical and Magnetic Properties of Materials Professor Theodore. D. Moustakas Fall Semester 2012 Office: 8 St. Mary s Street, Room no: 835 Phone: 353-5431 e-mail: tdm@bu.edu
More informationMODERN PHYSICS Frank J. Blatt Professor of Physics, University of Vermont
MODERN PHYSICS Frank J. Blatt Professor of Physics, University of Vermont McGRAW-HILL, INC. New York St. Louis San Francisco Auckland Bogota Caracas Lisbon London Madrid Mexico Milan Montreal New Delhi
More informationPHYSICS. Course Syllabus. Section 1: Mathematical Physics. Subject Code: PH. Course Structure. Electromagnetic Theory
PHYSICS Subject Code: PH Course Structure Sections/Units Topics Section 1 Section 2 Section 3 Section 4 Section 5 Section 6 Section 7 Section 8 Mathematical Physics Classical Mechanics Electromagnetic
More informationChapter 3 Properties of Nanostructures
Chapter 3 Properties of Nanostructures In Chapter 2, the reduction of the extent of a solid in one or more dimensions was shown to lead to a dramatic alteration of the overall behavior of the solids. Generally,
More informationAppendix A. The Particle in a Box: A Demonstration of Quantum Mechanical Principles for a Simple, One-Dimensional, One-Electron Model System
Appendix A The Particle in a Box: A Demonstration of Quantum Mechanical Principles for a Simple, One-Dimensional, One-Electron Model System Real quantum mechanical systems have the tendency to become mathematically
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 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 informationLecture 3: Optical Properties of Insulators, Semiconductors, and Metals. 5 nm
Metals Lecture 3: Optical Properties of Insulators, Semiconductors, and Metals 5 nm Course Info Next Week (Sept. 5 and 7) no classes First H/W is due Sept. 1 The Previous Lecture Origin frequency dependence
More informationNotes on Spin Operators and the Heisenberg Model. Physics : Winter, David G. Stroud
Notes on Spin Operators and the Heisenberg Model Physics 880.06: Winter, 003-4 David G. Stroud In these notes I give a brief discussion of spin-1/ operators and their use in the Heisenberg model. 1. Spin
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 informationSummary lecture II. Graphene exhibits a remarkable linear and gapless band structure
Summary lecture II Bloch theorem: eigen functions of an electron in a perfectly periodic potential have the shape of plane waves modulated with a Bloch factor that possess the periodicity of the potential
More informationThe general solution of Schrödinger equation in three dimensions (if V does not depend on time) are solutions of time-independent Schrödinger equation
Lecture 27st Page 1 Lecture 27 L27.P1 Review Schrödinger equation The general solution of Schrödinger equation in three dimensions (if V does not depend on time) is where functions are solutions of time-independent
More informationModern Physics (PHY 371)
Modern Physics (PHY 371) Instructor: Paulo Bedaque, PSC, room 3147. My email is the best way to contact me in an emergency including absence from an exam. The best way to ask a physics question is trough
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 informationNotes on Quantum Mechanics
Notes on Quantum Mechanics K. Schulten Department of Physics and Beckman Institute University of Illinois at Urbana Champaign 405 N. Mathews Street, Urbana, IL 61801 USA (April 18, 2000) Preface i Preface
More informationQUANTUM PHYSICS. Lecture schedule and meeting hours
PH3520 QUANTUM PHYSICS January May 2013 Lecture schedule and meeting hours The course will consist of about 43 lectures, including about 8 10 tutorial sessions. However, note that there will be no separate
More informationLecture 2, March 1, 2018
Lecture 2, March 1, 2018 Last week: Introduction to topics of lecture Algorithms Physical Systems The development of Quantum Information Science Quantum physics perspective Computer science perspective
More informationQuantum Mechanics. Exam 3. Photon(or electron) interference? Photoelectric effect summary. Using Quantum Mechanics. Wavelengths of massive objects
Exam 3 Hour Exam 3: Wednesday, November 29th In-class, Quantum Physics and Nuclear Physics Twenty multiple-choice questions Will cover:chapters 13, 14, 15 and 16 Lecture material You should bring 1 page
More informationQuantum Theory of Matter
Quantum Theory of Matter Overview Lecture Derek Lee Imperial College London January 2007 Outline 1 Course content Introduction Superfluids Superconductors 2 Course Plan Resources Outline 1 Course content
More informationQOT - Quantum Optical Technologies
Coordinating unit: Teaching unit: Academic year: Degree: ECTS credits: 2018 230 - ETSETB - Barcelona School of Telecommunications Engineering 739 - TSC - Department of Signal Theory and Communications
More informationQuantum Condensed Matter Physics Lecture 9
Quantum Condensed Matter Physics Lecture 9 David Ritchie QCMP Lent/Easter 2018 http://www.sp.phy.cam.ac.uk/drp2/home 9.1 Quantum Condensed Matter Physics 1. Classical and Semi-classical models for electrons
More informationPHYS-UA 124: Quantum Mechanics II Course Information - Spring 2018
PHYS-UA 124: Quantum Mechanics II Course Information - Spring 2018 January 4, 2018 Instructor Daniel Stein E-mail daniel.stein@nyu.edu Office 726 Broadway, Room 981 Office Hours Monday, 3:00-4:00pm, Wednesday,
More informationElectron spins in nonmagnetic semiconductors
Electron spins in nonmagnetic semiconductors Yuichiro K. Kato Institute of Engineering Innovation, The University of Tokyo Physics of non-interacting spins Optical spin injection and detection Spin manipulation
More informationModern Optical Spectroscopy
Modern Optical Spectroscopy With Exercises and Examples from Biophysics and Biochemistry von William W Parson 1. Auflage Springer-Verlag Berlin Heidelberg 2006 Verlag C.H. Beck im Internet: www.beck.de
More informationChiroptical Spectroscopy
Chiroptical Spectroscopy Theory and Applications in Organic Chemistry Lecture 3: (Crash course in) Theory of optical activity Masters Level Class (181 041) Mondays, 8.15-9.45 am, NC 02/99 Wednesdays, 10.15-11.45
More informationPhysics 162a Quantum Mechanics
Physics 162a Quantum Mechanics 1 Introduction Syllabus for Fall 2009 This is essentially a standard first-year course in quantum mechanics, the basic language for describing physics at the atomic and subatomic
More informationQuantum Field Theory 2 nd Edition
Quantum Field Theory 2 nd Edition FRANZ MANDL and GRAHAM SHAW School of Physics & Astromony, The University of Manchester, Manchester, UK WILEY A John Wiley and Sons, Ltd., Publication Contents Preface
More informationQUANTUM- CLASSICAL ANALOGIES
D. Dragoman M. Dragoman QUANTUM- CLASSICAL ANALOGIES With 78 Figures ^Ü Springer 1 Introduction 1 2 Analogies Between Ballistic Electrons and Electromagnetic Waves 9 2.1 Analog Parameters for Ballistic
More informationB2.III Revision notes: quantum physics
B.III Revision notes: quantum physics Dr D.M.Lucas, TT 0 These notes give a summary of most of the Quantum part of this course, to complement Prof. Ewart s notes on Atomic Structure, and Prof. Hooker s
More informationBell s Theorem. Ben Dribus. June 8, Louisiana State University
Bell s Theorem Ben Dribus Louisiana State University June 8, 2012 Introduction. Quantum Theory makes predictions that challenge intuitive notions of physical reality. Einstein and others were sufficiently
More informationWritten homework due on Monday at the start of class Online homework due on Tuesday by 8 am
Homework #12 Written homework due on Monday at the start of class Online homework due on Tuesday by 8 am Exam 3 Wednesday May 6 from 7 to 9 pm Make-up exams need to be scheduled no later than Friday this
More informationPHYSICS PHYSICS FOR SCIENTISTS AND ENGINEERS. Course Outline - Spring 2009
PHYSICS 2220 - PHYSICS FOR SCIENTISTS AND ENGINEERS Course Outline - Spring 2009 INSTRUCTOR: Dr. Bradley W. Carroll OFFICE: SL 211 TELEPHONE: 626-7921 E-MAIL: bcarroll@weber.edu HOMEPAGE: TEXTBOOK: http://physics.weber.edu/carroll/phys2220/
More informationOctober Entrance Examination: Condensed Matter Multiple choice quizzes
October 2013 - Entrance Examination: Condensed Matter Multiple choice quizzes 1 A cubic meter of H 2 and a cubic meter of O 2 are at the same pressure (p) and at the same temperature (T 1 ) in their gas
More informationF. Elohim Becerra Chavez
F. Elohim Becerra Chavez Email:fbecerra@unm.edu Office: P&A 19 Phone: 505 277-2673 Lectures: Monday and Wednesday, 5:30-6:45 pm P&A Room 184. Textbook: Many good ones (see webpage) Lectures follow order
More informationQuantum Mechanics. Semester /2015. (Introduction)
EMT 295/3 Quantum Mechanics Semester 1 2014/2015 (Introduction) EMT 295 Course Outcomes (COs): CO1: Ability to explain the concept and principles of modern physics, quantization and postulates of quantum
More informationTEACHERS OF SCIENCE: Physics 9-12 FORM I-D GRID
8710.4750 TEACHERS OF SCIENCE: sics 9-12 FORM I-D GRID Professional Education Program Evaluation Report (PEPER II) 8710.4750 Teachers of Science: sics 9-12 Subp. 7. Subject matter standards for teachers
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 informationMassachusetts Institute of Technology Physics Department
Massachusetts Institute of Technology Physics Department Physics 8.32 Fall 2006 Quantum Theory I October 9, 2006 Assignment 6 Due October 20, 2006 Announcements There will be a makeup lecture on Friday,
More informationNuclear and Particle Physics
Nuclear and Particle Physics W. S. С Williams Department of Physics, University of Oxford and St Edmund Hall, Oxford CLARENDON PRESS OXFORD 1991 Contents 1 Introduction 1.1 Historical perspective 1 1.2
More informationChemistry Physical Chemistry II Spring 2017
Chemistry 310 - Physical Chemistry II Spring 2017 Instructor: Office Hours: Prerequisites: Texts: Required: Samuel A. Abrash 208C Gottwald Science Center Office: 289-8248 Home: 323-7363 Cell: 804-363-2597
More information3.024 Electrical, Optical, and Magnetic Properties of Materials Spring 2012 Recitation 8 Notes
Overview 1. Electronic Band Diagram Review 2. Spin Review 3. Density of States 4. Fermi-Dirac Distribution 1. Electronic Band Diagram Review Considering 1D crystals with periodic potentials of the form:
More informationFISQ - Quantum Physics
Coordinating unit: 230 - ETSETB - Barcelona School of Telecommunications Engineering Teaching unit: 748 - FIS - Department of Physics Academic year: Degree: 2018 BACHELOR'S DEGREE IN ENGINEERING PHYSICS
More informationQUANTUM WELLS, WIRES AND DOTS
QUANTUM WELLS, WIRES AND DOTS Theoretical and Computational Physics of Semiconductor Nanostructures Second Edition Paul Harrison The University of Leeds, UK /Cf}\WILEY~ ^INTERSCIENCE JOHN WILEY & SONS,
More informationvan Quantum tot Molecuul
10 HC10: Molecular and vibrational spectroscopy van Quantum tot Molecuul Dr Juan Rojo VU Amsterdam and Nikhef Theory Group http://www.juanrojo.com/ j.rojo@vu.nl Molecular and Vibrational Spectroscopy Based
More information2 Canonical quantization
Phys540.nb 7 Canonical quantization.1. Lagrangian mechanics and canonical quantization Q: How do we quantize a general system?.1.1.lagrangian Lagrangian mechanics is a reformulation of classical mechanics.
More information