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Quantum Mechanics: Theory and Applications

  • Ajoy Ghatak
  • S. Lokanathan

Part of the Fundamental Theories of Physics book series (FTPH, volume 137)

Table of contents

  1. Front Matter
    Pages i-xlviii
  2. Mathematical Preliminaries

    1. Front Matter
      Pages 1-1
    2. Ajoy Ghatak, S. Lokanathan
      Pages 3-18
    3. Ajoy Ghatak, S. Lokanathan
      Pages 19-27
  3. Basic Quantum Mechanics

    1. Front Matter
      Pages 29-29
    2. Ajoy Ghatak, S. Lokanathan
      Pages 31-70
    3. Ajoy Ghatak, S. Lokanathan
      Pages 71-88
    4. Ajoy Ghatak, S. Lokanathan
      Pages 89-114
    5. Ajoy Ghatak, S. Lokanathan
      Pages 115-158
    6. Ajoy Ghatak, S. Lokanathan
      Pages 197-220
    7. Ajoy Ghatak, S. Lokanathan
      Pages 221-244
    8. Ajoy Ghatak, S. Lokanathan
      Pages 291-307
    9. Ajoy Ghatak, S. Lokanathan
      Pages 339-356
    10. Ajoy Ghatak, S. Lokanathan
      Pages 389-400
    11. Ajoy Ghatak, S. Lokanathan
      Pages 401-422
    12. Ajoy Ghatak, S. Lokanathan
      Pages 423-477
    13. Ajoy Ghatak, S. Lokanathan
      Pages 478-492
    14. Ajoy Ghatak, S. Lokanathan
      Pages 493-533
    15. Ajoy Ghatak, S. Lokanathan
      Pages 534-559
    16. Ajoy Ghatak, S. Lokanathan
      Pages 560-578
    17. Ajoy Ghatak, S. Lokanathan
      Pages 579-597
    18. Ajoy Ghatak, S. Lokanathan
      Pages 598-624
    19. Ajoy Ghatak, S. Lokanathan
      Pages 625-675
    20. Ajoy Ghatak, S. Lokanathan
      Pages 676-715
    21. Ajoy Ghatak, S. Lokanathan
      Pages 742-778
    22. Ajoy Ghatak, S. Lokanathan
      Pages 779-808
  4. Back Matter
    Pages 809-864

About this book

Introduction

An understanding of quantum mechanics is vital to all students of physics, chemistry and electrical engineering, but requires a lot of mathematical concepts, the details of which are given with great clarity in this book. Various concepts have been derived from first principles, so it can also be used for self-study. The chapters on the JWKB approximation, time-independent perturbation theory and effects of magnetic field stand out for their clarity and easy-to-understand mathematics. Two complete chapters on the linear harmonic oscillator provide a very detailed discussion of one of the most fundamental problems in quantum mechanics. Operator algebra is used to show the ease with which one can calculate the harmonic oscillator wave functions and study the evolution of the coherent state. Similarly, three chapters on angular momentum give a detailed account of this important problem. Perhaps the most attractive feature of the book is the excellent balance between theory and applications and the large number of applications in such diverse areas as astrophysics, nuclear physics, atomic and molecular spectroscopy, solid-state physics, and quantum well structures.

Keywords

Angular Momentum Dirac Delta Function Dirac's Bra and Ket Algebra Schrödinger Equation The JWKB Approxiamtion quantum mechanics

Authors and affiliations

  • Ajoy Ghatak
    • 1
  • S. Lokanathan
    • 2
  1. 1.Indian Institute of TechnologyNew DelhiIndia
  2. 2.Jawahar Lal Nehru PlanetariumBangaloreIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4020-2130-5
  • Copyright Information Springer Science+Business Media B.V. 2004
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4020-2129-9
  • Online ISBN 978-1-4020-2130-5
  • Buy this book on publisher's site