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Exercises in Quantum Mechanics

A Collection of Illustrative Problems and Their Solutions

  • Book
  • © 1992

Overview

Authors:
  1. Harry Mavromatis

    1. Department of Physics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia

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Part of the book series: Reidel Texts in the Mathematical Sciences (RTMS, volume 6)

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Wilson-Sommerfeld Quantization Condition

    • Harry Mavromatis
    Pages 1-15

  3. The Delta Function, Completeness, and Closure

    • Harry Mavromatis
    Pages 16-33

  4. Momentum Space

    • Harry Mavromatis
    Pages 34-46

  5. Wavepackets and the Uncertainty Principle

    • Harry Mavromatis
    Pages 47-67

  6. Uncertainty Principle and Ground-State Energies of Quantum-Mechanical Systems

    • Harry Mavromatis
    Pages 68-73

  7. Free Particles Incident on Potentials, Time Delay, Phase Shifts, and the Born Approximation

    • Harry Mavromatis
    Pages 74-101

  8. Heisenberg Representation

    • Harry Mavromatis
    Pages 102-110

  9. Two-, Three-, and N-, Versus One-Dimensional Problems

    • Harry Mavromatis
    Pages 111-123

  10. ‘Kramers’ Type Expressions, the Virial Theorem, and Generalizations

    • Harry Mavromatis
    Pages 124-132

  11. Upper Bounds and Parity Considerations

    • Harry Mavromatis
    Pages 133-156

  12. Perturbation Theory

    • Harry Mavromatis
    Pages 157-185

  13. Degeneracy

    • Harry Mavromatis
    Pages 186-213

  14. The Inverse Problem

    • Harry Mavromatis
    Pages 214-226

  15. The Dalgarno-Lewis Technique

    • Harry Mavromatis
    Pages 227-261

  16. Angular Momentum and Coupled States

    • Harry Mavromatis
    Pages 262-290

  17. Tensor Operators, and Evaluation of Matrix Elements

    • Harry Mavromatis
    Pages 291-311

  18. Applications of Quantum Mechanics

    • Harry Mavromatis
    Pages 312-325

  19. Back Matter

    Pages 326-335
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Keywords

About this book

This monograph is written within the framework of the quantum mechanical paradigm. It is modest in scope in that it is restricted to some observations and solved illustrative problems not readily available in any of the many standard (and several excellent) texts or books with solved problems that have been written on this subject. Additionally a few more or less standard problems are included for continuity and purposes of comparison. The hope is that the points made and problems solved will give the student some additional insights and a better grasp of this fascinating but mathematically somewhat involved branch of physics. The hundred and fourteen problems discussed have intentionally been chosen to involve a minimum of technical complexity while still illustrating the consequences of the quantum-mechanical formalism. Concerning notation, useful expressions are displayed in rectangular boxes while calculational details which one may wish to skip are included in square brackets. Beirut HARRY A. MAVROMATIS June, 1985 IX Preface to Second Edition More than five years have passed since I prepared the first edition of this mono­ graph. The present revised edition is more attractive in layout than its predecessor, and most, if not all of the errors in the original edition (many of which were kindly pointed out by reviewers, colleagues, and students) have now been corrected. Additionally the material in the original fourteen chapters has been extended with significant additions to Chapters 8, 13, and 14.

Authors and Affiliations

  • Department of Physics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia

    Harry Mavromatis

Bibliographic Information

  • Book Title: Exercises in Quantum Mechanics

  • Book Subtitle: A Collection of Illustrative Problems and Their Solutions

  • Authors: Harry Mavromatis

  • Series Title: Reidel Texts in the Mathematical Sciences

  • DOI: https://doi.org/10.1007/978-94-011-2652-6

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Kluwer Academic Publishers 1992

  • Hardcover ISBN: 978-0-7923-1557-5Published: 30 November 1991

  • Softcover ISBN: 978-94-010-5172-9Published: 21 October 2012

  • eBook ISBN: 978-94-011-2652-6Published: 06 December 2012

  • Series ISSN: 0921-9315

  • Edition Number: 2

  • Number of Pages: XIII, 333

  • Topics: Quantum Physics, Applications of Mathematics

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