Quantum Mechanics I
eBook - ePub

Quantum Mechanics I

The Fundamentals

  1. 608 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Quantum Mechanics I

The Fundamentals

About this book

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.

This fully updated new edition addresses many topics not typically found in books at this level, including:



  • Bound state solutions of quantum pendulum



  • Morse oscillator



  • 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



  • An asymptotic method for slowly varying potentials



  • Klein paradox, Einstein-Podolsky-Rosen (EPR) paradox, and Bell's theorem



  • Delayed-choice experiments



  • Fractional quantum mechanics



  • 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.

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Yes, you can access Quantum Mechanics I by S. Rajasekar,R. Velusamy in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
CRC Press
Year
2022
Print ISBN
9780367769987
eBook ISBN
9781000729030
Edition
2
Topic
Physical Sciences
Subtopic
Applied Mathematics

Table of contents

  1. Cover Page
  2. Half-Title Page
  3. Title Page
  4. Copyright Page
  5. Dedication Page
  6. Contents
  7. Preface
  8. About the Authors
  9. 1 Why Was Quantum Mechanics Developed?
  10. 2 Schrödinger Equation and Wave Function
  11. 3 Operators, Eigenvalues and Eigenfunctions
  12. 4 Exactly Solvable Systems I: Bound States
  13. 5 Exactly Solvable Systems II: Scattering States
  14. 6 Matrix Mechanics
  15. 7 Various Pictures and Density Matrix
  16. 8 Heisenberg Uncertainty Principle
  17. 9 Momentum Representation
  18. 10 Wave Packet
  19. 11 Theory of Angular Momentum
  20. 12 Hydrogen Atom
  21. 13 Approximation Methods I: Time-Independent Perturbation Theory
  22. 14 Approximation Methods II: Time-Dependent Perturbation Theory
  23. 15 Approximation Methods III: WKB and Asymptotic Methods
  24. 16 Approximation Methods IV: Variational Approach
  25. 17 Scattering Theory
  26. 18 Identical Particles
  27. 19 Relativistic Quantum Theory
  28. 20 Mysteries in Quantum Mechanics
  29. 21 Delayed-Choice Experiments
  30. 22 Fractional Quantum Mechanics
  31. 23 Numerical Methods for Quantum Mechanics
  32. A Calculation of Numerical Values of  h and kB
  33. B A Derivation of the Factor hν/(ehν/kBT−1)
  34. C Bose's Derivation of Planck's Law
  35. D Distinction Between Self-Adjoint and Hermitian Operators
  36. E Proof of Schwarz's Inequality
  37. F Calculation of Eigenvalues of a Symmetric Tridiagonal Matrix–QL Method
  38. G Random Number Generators for Desired Distributions
  39. Solutions to Selected Exercises
  40. Index