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Algebraic Approach to Simple Quantum Systems: With Applications to Perturbation Theory

by Barry G. Adams
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Current price ₹5,873.00
Original price ₹9,035.00
Original price ₹9,035.00
Original price ₹9,035.00
(-35%)
₹5,873.00
Current price ₹5,873.00

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Book cover type: Paperback
  • ISBN13: 9783540578017
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 451
  • Original Price: EUR 79.95
  • Language: English
  • Edition: Softcover Repri
  • Item Weight: 701 grams
  • BISAC Subject(s): Physics / Quantum Theory, General, and Chemistry / Physical & Theoretical

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.

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