Solvable Models In Quantum Mechanics With Appendix Written By Pavel Exner - Hardcover

Hardcover

ISBN 10: 0821836242 ISBN 13: 9780821836248

Publisher: Amer Mathematical Society, 2005

Synopsis

The monograph presents a detailed study of a class of solvable models in quantum mechanics that describe the motion of a particle in a potential having support at the positions of a discrete (finite or infinite) set of point sources. Both situations--where the strengths of the sources and their locations are precisely known and where these are only known with a given probability distribution--are covered.

The authors present a systematic mathematical approach to these models and illustrate its connections with previous heuristic derivations and computations. Results obtained by different methods in disparate contexts are thus unified and a systematic control over approximations to the models, in which the point interactions are replaced by more regular ones, is provided.

The first edition of this monograph generated considerable interest for those learning advanced mathematical topics in quantum mechanics, especially those connected to the Schrödinger equations. This second edition includes a new appendix by Pavel Exner, who has prepared a summary of the progress made in the field since 1988. His summary, centering around two-body point interaction problems, is followed by a bibliography focusing on essential developments made since 1988.

The material is suitable for graduate students and researchers interested in quantum mechanics and Schrödinger operators.

About this title

About the Author:

Helge Holden is Professor of Mathematics at the Norwegian University of Science and Technology.

Review:

"There is a wealth of very pretty examples of Schrödinger operators here." -- MathSciNet

About this edition

• Publisher: Amer Mathematical Society
• Publication date: 2005
• ISBN 10: 0821836242
• ISBN 13: 9780821836248
• Binding: Hardcover
• Edition number: 2
• Number of pages: 488
• Editor: Exner Pavel, Albeverio Sergio