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Quantum Mechanics: Theory and Applications

  • Book
  • © 2004

Overview

Authors:
  1. Ajoy Ghatak

    1. Indian Institute of Technology, New Delhi, India

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. S. Lokanathan

    1. Jawahar Lal Nehru Planetarium, Bangalore, India

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • A comprehensive account of Quantum Mechanics with an excellent balance between theory and applications
  • Mathematical details are treated with great clarity
  • No other book discusses topics like the JWKB Approximation, Time Independent Perturbation Theory, and various others in so much detail

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

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Table of contents (28 chapters)

  1. Front Matter

    Pages i-xlviii
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  2. Mathematical Preliminaries

    1. Front Matter

      Pages 1-1
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    2. The Dirac Delta Function

      • Ajoy Ghatak, S. Lokanathan
      Pages 3-18

    3. Fourier Transforms

      • Ajoy Ghatak, S. Lokanathan
      Pages 19-27

  3. Basic Quantum Mechanics

    1. Front Matter

      Pages 29-29
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    2. Particles and Waves and the Uncertainty Principle

      • Ajoy Ghatak, S. Lokanathan
      Pages 31-70

    3. Time Dependent Schrödinger Equation

      • Ajoy Ghatak, S. Lokanathan
      Pages 71-88

    4. Propagation of Wave Packets and Concept of Group Velocity

      • Ajoy Ghatak, S. Lokanathan
      Pages 89-114

    5. Bound State Solutions of the Schrödinger Equation

      • Ajoy Ghatak, S. Lokanathan
      Pages 115-158

    6. Linear Harmonic Oscillator: I Solution of the Schrödinger Equation and Relationship with the Classical Oscillator

      • Ajoy Ghatak, S. Lokanathan
      Pages 159-196

    7. One-Dimensional Barrier Transmission Problems

      • Ajoy Ghatak, S. Lokanathan
      Pages 197-220

    8. Angular Momentum I—The Spherical Harmonics

      • Ajoy Ghatak, S. Lokanathan
      Pages 221-244

    9. Spherically Symmetric Potentials Hydrogen Atom Problem, Rotation Vibration Spectra, Three-Dimensional Oscillator

      • Ajoy Ghatak, S. Lokanathan
      Pages 245-290

    10. Dirac’s Bra and Ket Algebra

      • Ajoy Ghatak, S. Lokanathan
      Pages 291-307

    11. Linear Harmonic Oscillator II Solutions Using Bra and Ket Algebra

      • Ajoy Ghatak, S. Lokanathan
      Pages 308-338

    12. Angular Momentum II Using Bra and Ket Algebra

      • Ajoy Ghatak, S. Lokanathan
      Pages 339-356

    13. Experiments with Spin Half Particles The Stern-Gerlach Experiment, Larmor Precession and Magnetic Resonance

      • Ajoy Ghatak, S. Lokanathan
      Pages 357-388

    14. Angular momentum III Eigenfunctions Using Operator Algebra

      • Ajoy Ghatak, S. Lokanathan
      Pages 389-400

    15. The Double Well Potential and the Krönig-Penney Model

      • Ajoy Ghatak, S. Lokanathan
      Pages 401-422

    16. The JWKB Approximation

      • Ajoy Ghatak, S. Lokanathan
      Pages 423-477
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Keywords

About this book

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.

Authors and Affiliations

  • Indian Institute of Technology, New Delhi, India

    Ajoy Ghatak

  • Jawahar Lal Nehru Planetarium, Bangalore, India

    S. Lokanathan

Bibliographic Information

  • Book Title: Quantum Mechanics: Theory and Applications

  • Authors: Ajoy Ghatak, S. Lokanathan

  • Series Title: Fundamental Theories of Physics

  • DOI: https://doi.org/10.1007/978-1-4020-2130-5

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media B.V. 2004

  • Hardcover ISBN: 978-1-4020-1850-3Published: 31 March 2004

  • Softcover ISBN: 978-1-4020-2129-9Published: 31 March 2004

  • eBook ISBN: 978-1-4020-2130-5Published: 29 February 2004

  • Series ISSN: 0168-1222

  • Series E-ISSN: 2365-6425

  • Edition Number: 1

  • Number of Pages: XLVIII, 864

  • Topics: Quantum Physics

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