Algebraic Approach to Simple Quantum Systems

With Applications to Perturbation Theory

Authors: Adams, Barry G.

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eBook $74.99
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  • ISBN 978-3-642-57933-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
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  • Immediate eBook download after purchase
Softcover $99.00
price for USA
  • ISBN 978-3-540-57801-7
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  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

This book provides an introduction to the use of algebraic methods and sym­ bolic computation for simple quantum systems with applications to large order perturbation theory. It is the first book to integrate Lie algebras, algebraic perturbation theory and symbolic computation in a form suitable for students and researchers in theoretical and computational chemistry and is conveniently divided into two parts. The first part, Chapters 1 to 6, provides a pedagogical introduction to the important Lie algebras so(3), so(2,1), so(4) and so(4,2) needed for the study of simple quantum systems such as the D-dimensional hydrogen atom and harmonic oscillator. This material is suitable for advanced undergraduate and beginning graduate students. Of particular importance is the use of so(2,1) in Chapter 4 as a spectrum generating algebra for several important systems such as the non-relativistic hydrogen atom and the relativistic Klein-Gordon and Dirac equations. This approach provides an interesting and important alternative to the usual textbook approach using series solutions of differential equations.

Table of contents (20 chapters)

  • General Discussion of Lie Algebras

    Adams, Barry G.

    Pages 1-15

  • Commutator Gymnastics

    Adams, Barry G.

    Pages 17-23

  • Angular Momentum Theory and so(3)

    Adams, Barry G.

    Pages 25-40

  • Representations and Realizations of so(2,1)

    Adams, Barry G.

    Pages 41-79

  • Representations and Realizations of so(4)

    Adams, Barry G.

    Pages 81-104

Buy this book

eBook $74.99
price for USA (gross)
  • ISBN 978-3-642-57933-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.00
price for USA
  • ISBN 978-3-540-57801-7
  • with online files
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Algebraic Approach to Simple Quantum Systems
Book Subtitle
With Applications to Perturbation Theory
Authors
Copyright
1994
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-57933-2
DOI
10.1007/978-3-642-57933-2
Softcover ISBN
978-3-540-57801-7
Edition Number
1
Number of Pages
XVI, 451
Number of Illustrations and Tables
2 b/w illustrations
Topics