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with applications to perturbation theory

Book's cover
The cover of “Algebraic approach to simple quantum systems” - Open Library.

"Algebraic approach to simple quantum systems" was published by Springer-Verlag in 1994 - Berlin, it has 451 pages and the language of the book is English.


“Algebraic approach to simple quantum systems” Metadata:

  • Title: ➤  Algebraic approach to simple quantum systems
  • Author:
  • Language: English
  • Number of Pages: 451
  • Publisher: Springer-Verlag
  • Publish Date:
  • Publish Location: Berlin

“Algebraic approach to simple quantum systems” Subjects and Themes:

Edition Specifications:

  • Pagination: xvi, 451 p. ;

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"Algebraic approach to simple quantum systems" Description:

The Open Library:

This monograph is primarily aimed at advanced undergraduates and first-year graduate students and researchers in theoretical and computational chemistry. It will also be useful to researchers in mathematical physics. It is the first book to systematically explore the application of Lie algebraic methods to simple quantum systems and perturbation theory with an emphasis on symbolic computation. Many exercises complete with solutions are also included. In the first part of the book the basic concepts of Lie algebras are presented in a pedagogical manner, first in the familiar context of angular momentum theory, and then for the important Lie algebras so (2,1), so (4) and so(4,2). Next, a novel feature is the application of the algebraic methods to obtain the energy and wavefunctions of the standard textbook problems of the non-relativistic and relativistic hydrogenic atoms and the harmonic oscillator. This provides an elegant and algebraic alternative to the usual approach using series solutions of differential equations. In the second part of the book applications of these algebraic methods to large order algebraic perturbation theory are considered for the Stark and Zeeman effect and spherically symmetric systems with charmonium, harmonium and screened Coulomb perturbations using the Maple computer algebra system. Application of the Hellman-Feynman and Hypervirial theorems to the perturbation theory of spherically symmetric systems is also considered using Maple. A disk containing Maple programs and data files is also included.

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