Quantum Mechanics I: The Fundamentals provides a graduate-level account of the behavior of matter and energy at the molecular, atomic, nuclear, and sub-nuclear levels. It covers basic concepts, mathematical formalism, and applications to physically important systems.
The text addresses many topics not typically found in books at this level, including:
Bound state solutions of quantum pendulum P�schl-Teller potential Solutions of classical counterpart of quantum mechanical systems A criterion for bound state Scattering from a locally periodic potential and reflection-less potential Modified Heisenberg relation Wave packet revival and its dynamics Hydrogen atom in D-dimension Alternate perturbation theories An asymptotic method for slowly varying potentials Klein paradox, Einstein-Podolsky-Rosen (EPR) paradox, and Bell's theorem Numerical methods for quantum systems
A collection of problems at the end of each chapter develops students' understanding of both basic concepts and the application of theory to various physically important systems. This book, along with the authors' follow-up Quantum Mechanics II: Advanced Topics, provides students with a broad, up-to-date introduction to quantum mechanics.
Print Versions of this book also include access to the ebook version.
Author(s): Shanmuganathan Rajasekar; Ramiah Velusamy
Publisher: CRC Press
Year: 2014
Language: English
Pages: 613
Front Cover
Dedication
Contents
Preface
About the Authors
CHAPTER 1 - Why Was Quantum Mechanics Developed?
CHAPTER 2 - Schrödinger Equation and Wave Function
CHAPTER 3 - Operators, Eigenvalues and Eigenfunctions
CHAPTER 4 - Exactly Solvable Systems I: Bound States
CHAPTER 5 - Exactly Solvable Systems II: Scattering States
CHAPTER 6 - Matrix Mechanics
CHAPTER 7 - Various Pictures and Density Matrix
CHAPTER 8 - Heisenberg Uncertainty Principle
CHAPTER 9 - Momentum Representation
CHAPTER 10 - Wave Packet
CHAPTER 11 - Theory of Angular Momentum
CHAPTER 12 - Hydrogen Atom
CHAPTER 13 - Approximation Methods I: Time-Independent Perturbation Theory
CHAPTER 14 - Approximation Methods II: Time-Dependent Perturbation Theory
CHAPTER 15 - Approximation Methods III: WKB and Asymptotic Methods
CHAPTER 16 - Approximation Methods IV: Variational Approach
CHAPTER 17 - Scattering Theory
CHAPTER 18 - Identical Particles
CHAPTER 19 - Relativistic Quantum Theory
CHAPTER 20 - Mysteries in Quantum Mechanics
CHAPTER 21 - Numerical Methods for Quantum Mechanics
APPENDIX A - Calculation of Numerical Values of h and kB
APPENDIX B - A Derivation of the Factor hν/(ehν/kBT − 1)
APPENDIX C - Bose’s Derivation of Planck’s Law
APPENDIX D - Distinction Between Self-Adjoint and Hermitian Operators
APPENDIX E - Proof of Schwarz’s Inequality
APPENDIX F - Eigenvalues of a Symmetric Tridiagonal Matrix—QL Method
APPENDIX G - Random Number Generators for Desired Distributions
Solutions to Selected Exercises
Back Cover
