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Quantum Mechanics: Genesis and Achievements

  • Book
  • © 2013

Overview

Authors:
  1. Alexander Komech

    1. Faculty of Mathematics, University of Vienna, Vienna, Austria

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  • Covers nonrelativisitic and relativistic quantum mechanics
  • Quantum mechanics concepts are also made accessible to non-physicists
  • Applications of quantum mechanics to basic quantum phenomena
  • Includes detailed explanations of all the concepts and mathematical methods
  • Includes supplementary material: sn.pub/extras

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Table of contents (14 chapters)

  1. Front Matter

    Pages I-XVII
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  2. Genesis of Quantum Mechanics

    • Alexander Komech
    Pages 1-24

  3. Heisenberg’s Matrix Mechanics

    • Alexander Komech
    Pages 25-34

  4. Schrödinger’s Wave Mechanics

    • Alexander Komech
    Pages 35-55

  5. Lagrangian Formalism

    • Alexander Komech
    Pages 57-66

  6. Wave-Particle Duality

    • Alexander Komech
    Pages 67-77

  7. The Eigenvalue Problem

    • Alexander Komech
    Pages 79-91

  8. Atom Radiation

    • Alexander Komech
    Pages 93-115

  9. Scattering of Light and Particles

    • Alexander Komech
    Pages 117-144

  10. Atom in Magnetic Field

    • Alexander Komech
    Pages 145-150

  11. Electron Spin and Pauli Equation

    • Alexander Komech
    Pages 151-164

  12. Relativistic Quantum Mechanics

    • Alexander Komech
    Pages 165-193

  13. Electrodynamics and Special Relativity

    • Alexander Komech
    Pages 195-232

  14. Mathematical Appendices

    • Alexander Komech
    Pages 233-255

  15. Exercises

    • Alexander Komech
    Pages 257-274

  16. Back Matter

    Pages 275-285
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Keywords

About this book

The focus of the present work is nonrelativistic and relativistic quantum mechanics with standard applications to the hydrogen atom. The author has aimed at presenting quantum mechanics in a comprehensive yet accessible for mathematicians and other non-physicists. The genesis of quantum mechanics, its applications to basic quantum phenomena, and detailed explanations of the corresponding mathematical methods are presented. The exposition is formalized (whenever possible) on the basis of the coupled Schroedinger, Dirac and Maxwell equations. Aimed at upper graduate and graduate students in mathematical and physical science studies.

Authors and Affiliations

  • Faculty of Mathematics, University of Vienna, Vienna, Austria

    Alexander Komech

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