Blick ins Buch

Algebraic Approach to Simple Quantum Systems

With Applications to Perturbation Theory

Barry G. Adams (Autor)

Buch | Softcover

XVI, 451 Seiten

1994 | 1. Softcover reprint of the original 1st ed. 1994
Springer Berlin (Verlag)
978-3-540-57801-7 (ISBN)

Lese- und Medienproben

Inhaltsverzeichnis (PDF)

Artikel merken

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.

1 General Discussion of Lie Algebras.- 2 Commutator Gymnastics.- 3 Angular Momentum Theory and so(3).- 4 Representations and Realizations of so(2,1).- 5 Representations and Realizations of so(4).- 6 Scaled Hydrogenic Realization of so(4,2).- 7 Lie Algebraic Perturbation Theory.- 8 Symbolic Calculation of the Stark Effect.- 9 Symbolic Calculation of the Zeeman Effect.- 10 Spherically Symmetric Systems.- A The Levi-Civita Symbol.- B Lie Groups and Lie Algebras.- C The Tilting Transformation.- D Perturbation Matrix Elements.- E Tables of Stark Effect Energy Corrections.- F Tables of Zeeman Effect Energy Corrections.- G Tables of Charmonium Energy Corrections.- H Tables of Harmonium Energy Corrections.- I Tables of Screened Coulomb Energy Corrections.- J Solutions to Exercises.- Index of Symbols Used.

Erscheint lt. Verlag	20.5.1994
Zusatzinfo	XVI, 451 p. 2 illus. With online files/update.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	726 g
Themenwelt	Mathematik / Informatik ► Informatik
	Naturwissenschaften ► Chemie ► Physikalische Chemie
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
Schlagworte	Algebra • Dirac equation • HC/Chemie/Theoretische Chemie • Lie Algebras • perturbation theory • Quantenchemie • Quantendynamik • Quantenmechanik • Quantentheorie • quantum mechanics • quantum system • Symbolic Computation • Theoretische Chemie
ISBN-10	3-540-57801-3 / 3540578013
ISBN-13	978-3-540-57801-7 / 9783540578017
Zustand	Neuware