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Quantum Physics

States, Observables and Their Time Evolution

  • Textbook
  • © 2019

Overview

Authors:
  1. Arno Bohm

    1. Department of Physics, University of Texas, Austin, USA

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  2. Piotr Kielanowski

    1. Department of Physics, CINVESTAV, Mexico City, Mexico

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    You can also search for this author in PubMed   Google Scholar

  3. G. Bruce Mainland

    1. Department of Physics, Ohio State University, Columbus, USA

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  • Extensive sets of problems at the end of each chapter
  • Key ideas summarized at the end of each chapter
  • An elementary mathematical tutorial forms a useful appendix
  • The sections “Precession of a Spinning Particle in a Magnetic Field” and “Magnetic Resonance” can be used as introduction to nuclear magnetic resonance
  • Written by the author of the classic book “Quantum Mechanics: Foundations and Applications”, Springer, published in three editions: 1979, 1986, 1993

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-ix
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  2. Quantum Harmonic Oscillator

    • Arno Bohm, Piotr Kielanowski, G. Bruce Mainland
    Pages 1-64

  3. Angular Momentum

    • Arno Bohm, Piotr Kielanowski, G. Bruce Mainland
    Pages 65-117

  4. Combinations of Quantum Physical Systems

    • Arno Bohm, Piotr Kielanowski, G. Bruce Mainland
    Pages 119-199

  5. Stationary Perturbation Theory

    • Arno Bohm, Piotr Kielanowski, G. Bruce Mainland
    Pages 201-249

  6. Time Evolution of Quantum Systems

    • Arno Bohm, Piotr Kielanowski, G. Bruce Mainland
    Pages 251-309

  7. Back Matter

    Pages 311-353
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Keywords

About this book

This is an introductory graduate course on quantum mechanics, which is presented in its general form by stressing the operator approach. Representations of the algebra of the harmonic oscillator and of the algebra of angular momentum are determined in chapters 1 and 2 respectively. The algebra of angular momentum is enlarged by adding the position operator so that the algebra can be used to describe rigid and non-rigid rotating molecules. The combination of quantum physical systems using direct-product spaces is discussed in chapter 3. The theory is used to describe a vibrating rotator, and the theoretical predictions are then compared with data for a vibrating and rotating diatomic molecule. The formalism of first- and second-order non-degenerate perturbation theory and first-order degenerate perturbation theory are derived in chapter 4. Time development is described in chapter 5 using either the Schroedinger equation of motion or the Heisenberg’s one. 
An elementary mathematical tutorial forms a useful appendix for the readers who don’t have prior knowledge of the general mathematical structure of quantum mechanics.

Authors and Affiliations

  • Department of Physics, University of Texas, Austin, USA

    Arno Bohm

  • Department of Physics, CINVESTAV, Mexico City, Mexico

    Piotr Kielanowski

  • Department of Physics, Ohio State University, Columbus, USA

    G. Bruce Mainland

About the authors

Professor Arno Bohm, Universtiy of Texas, Austin, IX, USAProfessor Piotr Kielanowski, CINEVESTAV, Mexico City, Mexico
Professor G. Bruce Mainland, Ohio State University, Columbus, OH, USA

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