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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Algebraic Approach to Simple Quantum Systems: With Applications to Perturbation Theory

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

Adams, Barry G.

Paperback

ChemistryGeneral MathematicsPhysics

ISBN10: 3540578013
ISBN13: 9783540578017
Publisher: Springer Nature
Published: May 20 1994
Pages: 451
Weight: 1.43
Height: 0.94 Width: 6.14 Depth: 9.21
Language: English
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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