Quantum Mechanics. Mathematical Structure, Physical Structure and Applications in the Physical World
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1 Quantum Mechanics Mathematical Structure, Physical Structure and Applications in the Physical World John R. Boccio Professor of Physics Swarthmore College Page 1
2 Thanks to: Professor Hans Bethe, Cornell University He taught me the wonders of quantum mechanics. Professor Kenneth Wilson, Cornell University He taught me to question everything. Professor Peter Carruthers, Cornell University He taught me physical reasoning. Copyright John R. Boccio, 2006 Page 2
3 Contents Chapter 1 - Motivation, Motivation, Motivation... Chapter 2 - Formulation of Wave Mechanics - Part 1 Chapter 3 - Formulation of Wave Mechanics - Part 2 Chapter 4 - The Mathematics of Quantum Physics: Dirac Language Chapter 5 - Probability Concepts Chapter 6 - The Formulation of Quantum Mechanics, Dynamics, Equations of Motion, Three ways of Seeing and all that stuff Chapter 7 - How Does It Really Work Photon Polarization, K-Mesons and Stern-Gerlach Chapter 8 - The Schrodinger Wave equation 1-Dimensional Systems Chapter 9 - Angular Momentum Two- and Three-Dimensional Systems Chapter 10 - Time-Independent Perturbation Theory Chapter 11 - Time-Dependent Perturbation Theory Chapter 12 - Identical Particles and Multielectron Atoms Chapter 13 - Scattering Theory and Molecular Physics Chapter 14 - Some Quantum Phenomena Chapter 15 - States and Measurements Chapter 16 - The EPR Argument, the Bell Inequality and Associated Stuff Chapter 17 - Path Integral Methods Chapter 18 - Solid State Physics Chapter 19 - Second Quantization Chapter 20 - Relativistic Wave Equations Electromagnetic Radiation and Matter Chapter 21 - Interacting Fields and feynman Diagrams Page 3
4 Problems and Solutions A. Mathematics Review (10 problems) B. Probability (17 problems) C. Quantum Mathematics (23 problems) D. Density Operators ( 6 problems) E. Photon Polarization and Interference (18 problems) F. Time Evolution ( 3 problems) G. One-Dimensional Systems (10 problems) H. Miscellaneous Problems (25 problems) I. Angular Momentum and Spin (26 problems) J. Stern-Gerlach and Magnetic Resonance (11 problems) K. Two- and Three-Dimensional Systems (11 problems) L. Time-Independent Perturbation Theory (35 problems) M. Time-Dependent Perturbation Theory (15 problems) N. The Variational Method ( 7 problems) O. Identical particles ( 9 problems) P. Atoms and Molecules ( 7 problems) Q. Scattering (12 problems) R. Quantum Measurement ( 7 problems) S. Special Systems ( 9 problems) Page 4
5 References Books Abers - Quantum Mechanics Auletta - Foundations and Interpretation of Quantum Mechanics Baym - Quantum Mechanics Bethe/Jackiw - Intermediate Quantum Mechanics Ballentine - Quantum Mechanics Capri - Non-Relativistic Quantum Mechanics Chester - Primer of Quantum Mechanics Dirac - The Principles of Quantum Mechanics Dyson - Advanced Quantum Mechanics Fano - Mathematical Methods of Quantum Mechanics Greiner - Quantum Mechanics Greiner - Quantum Mechanics - Symmetries Hannabuss - An Introduction to Quantum Theory Isham - Lectures on Quantum Theory Jauch - Foundations of Quantum Mechanics Jordan - Linear Operators in Quantum Mechanics Landau and Lifshitz - Quantum Mechanics Lipkin - Lie Groups for Pedestrians Merzbacher - Quantum Mechanics Messiah - Quantum Mechanics Morrison - Understanding Quantum Physics von Neumann - Mathematical Foundations of Quantum Mechanics Redhead - Incompleteness, Nonlocality and Realism Peres - Quantum Theory: Concepts and Methods Sakurai - Modern Quantum Mechanics Schiff - Quantum Mechanics Schwabl - Quantum Mechanics Schwabl - Advanced Quantum Mechanics Schwinger - Quantum Mechanics Sobrino - Elements of Non-Relativistic Quantum Mechanics Townsend - A Modern Approach to Quantum Mechanics Trigg - Quantum Mechanics von Neumann - Mathematical Foundations of Quantum Mechanics Articles Page 5
6 Index Page 6
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