Unstable Systems (Paperback, 1st ed. 2020)

This book focuses on unstable systems both from the classical and the quantum mechanical points of view and studies the relations between them. The first part deals with quantum systems. Here the main generally used methods today, such as the Gamow approach, and the Wigner-Weisskopf method, are critically discussed. The quantum mechanical Lax-Phillips theory developed by the authors, based on the dilation theory of Nagy and Foias and its more general extension to approximate semigroup evolution is explained. The second part provides a description of approaches to classical stability analysis and introduces geometrical methods recently developed by the authors, which are shown to be highly effective in diagnosing instability and, in many cases, chaotic behavior. It is then shown that, in the framework of the theory of symplectic manifolds, there is a systematic algorithm for the construction of a canonical transformation of any standard potential model Hamiltonian to geometric form, making accessible powerful geometric methods for stability analysis in a wide range of applications.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Mathematical Physics Studies
Release date:	July 2021
First published:	2020
Authors:	Lawrence Horwitz • Yosef Strauss
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	221
Edition:	1st ed. 2020
ISBN-13:	978-3-03-031572-6
Categories:	Books > Science & Mathematics > Mathematics > Applied mathematics > General Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics) > General
LSN:	3-03-031572-X
Barcode:	9783030315726

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