Solvable Models in Quantum Mechanics (AMS Chelsea Publishing) (Chelsea Publications) - Hardcover

American Mathematical Society

 
9780821836248: Solvable Models in Quantum Mechanics (AMS Chelsea Publishing) (Chelsea Publications)
Hardcover
ISBN 10: 0821836242 ISBN 13: 9780821836248
Publisher: American Mathematical Society, 2005

Synopsis

This 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 book generated considerable interest for those learning advanced mathematical topics in quantum mechanics, especially those connected to the Schrodinger 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. 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 Schrodinger operators.

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About the Author

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

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Publisher
American Mathematical Society
Publication date
2005
Language
English
ISBN 10 
0821836242
ISBN 13 
9780821836248
Binding
Hardcover
Edition number
2

Other Popular Editions of the Same Title

9783642882036: Solvable Models in Quantum Mechanics (Theoretical and Mathematical Physics)

Featured Edition

ISBN 10:  364288203X ISBN 13:  9783642882036
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Softcover