Non-Autonomous Kato Classes and Feynman-Kac Propagators

ISBN: 9789812565570

出版社: World Scientific Pub Co Inc

页数: 344

定价: $ 113.00

装帧: HRD

内容简介

This book provides an introduction the propagator theory. Propagators are two-parameter families of linear operators, also known as evolution operators, evolutions families, non-autonomous sernigroups, etc., which are often used as mathematical models of a system evolving in a changing environment. Although this book concerns such diverse subjects as analysis, semigroup theory, probability theory, mathematical physics, and partial differential equations, it is unified by the Feynman-Kac propagator which describes the evolution of a physical system in the presence of time-dependent absorption and excitation. The theory of Feynman-Kac propagators with potentials from non-autonomous Kato classes is presented in the book for the first time. This book is suitable as an advanced textbook for graduate courses.