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Algebraic Approach to Simple Quantum Systems

With Applications to Perturbation Theory

Authors: Adams, Barry G.

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  • ISBN 978-3-642-57933-2
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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)

Table of contents (20 chapters)

Buy this book

eBook 67,40 €
price for India (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 79,95 €
price for India (gross)
  • ISBN 978-3-540-57801-7
  • with online files
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • 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
2 b/w illustrations
Topics

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