| Non-Autonomous Kato Classes and Feynman-Kac Propagators Contributor(s): Gulisashvili, Archil (Author), Van Casteren, Jan A. (Author) |
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ISBN: 9812565574 ISBN-13: 9789812565570 Publisher: World Scientific Publishing Company OUR PRICE: $129.20 Product Type: Hardcover - Other Formats Published: July 2006 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Science | Physics - Mathematical & Computational |
| Dewey: 515.724 |
| LCCN: 2006285514 |
| Physical Information: 1.01" H x 6.3" W x 9.08" (1.45 lbs) 360 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: This book provides an introduction to propagator theory. Propagators, or evolution families, are two-parameter analogues of semigroups of operators. Propagators are encountered in analysis, mathematical physics, partial differential equations, and probability theory. They are often used as mathematical models of systems evolving in a changing environment. A unifying theme of the book is the theory of Feynman-Kac propagators associated with time-dependent measures from non-autonomous Kato classes. In applications, a Feynman-Kac propagator describes the evolution of a physical system in the presence of time-dependent absorption and excitation. The book is suitable as an advanced textbook for graduate courses. |