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Exercises in Quantum Mechanics

A Collection of Illustrative Problems and Their Solutions

  • Book
  • © 1987

Overview

Authors:
  1. Harry A. Mavromatis

    1. Department of Physics, American University, Beirut, Lebanon

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Part of the book series: Reidel Texts in the Mathematical Sciences (RTMS, volume 2)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Wilson-Sommerfeld Quantization Condition

    • Harry A. Mavromatis
    Pages 1-12

  3. The Delta Function, Completeness and Closure

    • Harry A. Mavromatis
    Pages 13-29

  4. Momentum Space

    • Harry A. Mavromatis
    Pages 30-41

  5. Wavepackets and the uncertainty principle

    • Harry A. Mavromatis
    Pages 42-59

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

    • Harry A. Mavromatis
    Pages 60-63

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

    • Harry A. Mavromatis
    Pages 64-82

  8. Heisenberg Representation

    • Harry A. Mavromatis
    Pages 83-89

  9. Two and Three Versus One-Dimensional Problems

    • Harry A. Mavromatis
    Pages 90-97

  10. ‘Kramer’ Type Expressions, The Virial Theorem and Generalizations

    • Harry A. Mavromatis
    Pages 98-103

  11. Upper Bounds and Parity Considerations

    • Harry A. Mavromatis
    Pages 104-116

  12. Perturbation Theory

    • Harry A. Mavromatis
    Pages 117-139

  13. Degeneracy

    • Harry A. Mavromatis
    Pages 140-159

  14. The Inverse Problem

    • Harry A. Mavromatis
    Pages 160-166

  15. The Dalgarno-Lewis Technique

    • Harry A. Mavromatis
    Pages 167-178

  16. Back Matter

    Pages 179-181
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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 obser­ vations 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 illus­ trating 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.

Authors and Affiliations

  • Department of Physics, American University, Beirut, Lebanon

    Harry A. Mavromatis

Bibliographic Information

  • Book Title: Exercises in Quantum Mechanics

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

  • Authors: Harry A. Mavromatis

  • Series Title: Reidel Texts in the Mathematical Sciences

  • DOI: https://doi.org/10.1007/978-94-015-7771-7

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1987

  • Softcover ISBN: 978-94-015-7773-1Published: 03 October 2013

  • eBook ISBN: 978-94-015-7771-7Published: 29 June 2013

  • Series ISSN: 0921-9315

  • Edition Number: 1

  • Number of Pages: XI, 181

  • Topics: Quantum Physics, Applications of Mathematics

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