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OverviewThe 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 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. The material is suitable for graduate students and researchers interested in quantum mechanics and Schrodinger operators. Full Product DetailsAuthor: Sergio Albeverio , H. Holden , Raphael Hoegh-KrohnPublisher: American Mathematical Society Imprint: American Mathematical Society Edition: 2nd Revised edition Dimensions: Width: 25.90cm , Height: 3.10cm , Length: 18.20cm Weight: 1.091kg ISBN: 9780821836248ISBN 10: 0821836242 Pages: 488 Publication Date: 30 December 2004 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |