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Quantum Mechanics

  • Textbook
  • © 2000

Overview

Authors:
  1. K. T. Hecht

    1. Department of Physics, University of Michigan, Ann Arbor, USA

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Part of the book series: Graduate Texts in Contemporary Physics (GTCP)

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Table of contents (79 chapters)

  1. Front Matter

    Pages i-xix
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  2. Introduction to Quantum Mechanics

    1. Front Matter

      Pages 1-1
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    2. Background: The Duality of Nature

      • K. T. Hecht
      Pages 3-7

    3. The Motion of Wave Packets: Fourier Analysis

      • K. T. Hecht
      Pages 8-18

    4. The Schrödinger Wave Equation and Probability Interpretation

      • K. T. Hecht
      Pages 19-38

    5. Schrödinger Theory: The Existence of Discrete Energy Levels

      • K. T. Hecht
      Pages 39-64

    6. Harmonic Oscillator Calculations

      • K. T. Hecht
      Pages 65-74

    7. Further Interpretation of the Wave Function

      • K. T. Hecht
      Pages 75-81

    8. The Eigenvalue Problem

      • K. T. Hecht
      Pages 82-91

    9. Spherical Harmonics, Orbital Angular Momentum

      • K. T. Hecht
      Pages 92-95

    10. ℓ-Step operators for the θ Equation

      • K. T. Hecht
      Pages 96-104

    11. The Radial Functions for the Hydrogenic Atom

      • K. T. Hecht
      Pages 105-107

    12. Shape-Invariant Potentials: Soluble One-Dimensional Potential Problems

      • K. T. Hecht
      Pages 108-129

    13. The Darboux Method: Supersymmetric Partner Potentials

      • K. T. Hecht
      Pages 130-137

    14. The Vector Space Interpretation of Quantum-Mechanical Systems

      • K. T. Hecht
      Pages 138-144

    15. The Angular Momentum Eigenvalue Problem (Revisited)

      • K. T. Hecht
      Pages 145-151

    16. Rigid Rotators: Molecular Rotational Spectra

      • K. T. Hecht
      Pages 152-158

    17. Transformation Theory

      • K. T. Hecht
      Pages 159-162

    18. Another Example: Successive Polarization Filters for Beams of Spin s= 1/2 Particles

      • K. T. Hecht
      Pages 163-166

    19. Transformation Theory for Systems with Continuous Spectra

      • K. T. Hecht
      Pages 167-172
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Keywords

About this book

Intended for beginning graduate students, this text takes the reader from the familiar coordinate representation of quantum mechanics to the modern algebraic approach, emphsizing symmetry principles throughout. After an introduction of the basic postulates and techniques, the book discusses time-independent perturbation theory, angular momentum, identical particles, scattering theory, and time-dependent perturbation theory. It concludes with several lectures on relativistic quantum mechanics and on many-body theory

Reviews

“The volume represents a solid and high level basis for lecturing in a first year graduate course on quantum mechanics. It is self-contained … provides future research workers with the tools required to solve real problems. ... More than 100 illustrations are included … . The volume can be used by students without previous knowledge of quantum mechanics and by researchers in the field; it represents a beneficial investment for libraries and individuals as well.” (V.Balan, zbMATH 0964.81001, 2022)

Authors and Affiliations

  • Department of Physics, University of Michigan, Ann Arbor, USA

    K. T. Hecht

Bibliographic Information

  • Book Title: Quantum Mechanics

  • Authors: K. T. Hecht

  • Series Title: Graduate Texts in Contemporary Physics

  • DOI: https://doi.org/10.1007/978-1-4612-1272-0

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 2000

  • Hardcover ISBN: 978-0-387-98919-8Published: 19 May 2000

  • Softcover ISBN: 978-1-4612-7072-0Published: 14 October 2012

  • eBook ISBN: 978-1-4612-1272-0Published: 06 December 2012

  • Series ISSN: 0938-037X

  • Edition Number: 1

  • Number of Pages: XIX, 760

  • Topics: Classical Mechanics

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