Solvable Models In Quantum Mechanics With Appendix Written By Pavel Exner

by Sergio Albeverio (Editor)

The authors investigate a class of solvable models for quantum mechanics given by a Schrodinger Hamiltonian with potential supported on a discrete (finite or infinite) set of points or "sources." Their general topics include the one-center point interaction, point interactions with a finite number of centers, and point interactions with infinitely many centers. This second edition of the original publication of 1988 has been slightly expanded and corrected. The authors include an appendix (aptly entitled "Seize ans apres" ) that contains updated information and its own bibliography. Annotation ©2004 Book News, Inc., Portland, OR

488 pages, Hardcover

First published January 1, 1988

About the author

Sergio Albeverio (born 17 January 1939) is a Swiss mathematician and mathematical physicist working in numerous fields of mathematics and its applications. In particular he is known for his work in probability theory, analysis (including infinite dimensional, non-standard, and stochastic analysis), mathematical physics, and in the areas algebra, geometry, number theory, as well as in applications, from natural to social-economic sciences.

He initiated (with Raphael Høegh-Krohn) a systematic mathematical theory of Feynman path integrals and of infinite dimensional Dirichlet forms and associated stochastic processes (with applications particularly in quantum mechanics, statistical mechanics and quantum field theory). He also gave essential contributions to the development of areas such as p-adic functional and stochastic analysis as well as to the singular perturbation theory for differential operators. Other important contributions concern constructive quantum field theory and representation theory of infinite dimensional groups. He also initiated a new approach to the study of galaxy and planets formation inspired by stochastic mechanics.