Wave Packet Analysis Of Feynman Path Integrals (Lecture Notes In Mathematics, 2305)
Springer
ISBN13:
9783031061851
$82.16
The purpose of this monograph is to offer an accessible and essentially self-contained presentation of some mathematical aspects of the Feynman path integral in non-relativistic quantum mechanics. In spite of the primary role in the advancement of modern theoretical physics and the wide range of applications, path integrals are still a source of challenging problem for mathematicians. From this viewpoint, path integrals can be roughly described in terms of approximation formulas for an operator (usually the propagator of a Schrödinger-type evolution equation) involving a suitably designed sequence of operators. In keeping with the spirit of harmonic analysis, the guiding theme of the book is to illustrate how the powerful techniques of time-frequency analysis - based on the decomposition of functions and operators in terms of the so-called Gabor wave packets can be successfully applied to mathematical path integrals, leading to remarkable results and paving the way to a fruitful interaction. This monograph intends to build a bridge between the communities of people working in time-frequency analysis and mathematical/theoretical physics, and to provide an exposition of the present novel approach along with its basic toolkit. Having in mind a researcher or a Ph.D. student as reader, we collected in Part I the necessary background, in the most suitable form for our purposes, following a smooth pedagogical pattern. Then Part II covers the analysis of path integrals, reflecting the topics addressed in the research activity of the authors in the last years.
- | Author: Fabio Nicola|S. Ivan Trapasso
- | Publisher: Springer
- | Publication Date: Jul 29, 2022
- | Number of Pages: 227 pages
- | Language: English
- | Binding: Paperback/Science
- | ISBN-10: 3031061853
- | ISBN-13: 9783031061851
- Author:
- Fabio Nicola, S. Ivan Trapasso
- Publisher:
- Springer
- Publication Date:
- Jul 29, 2022
- Number of pages:
- 227 pages
- Language:
- English
- Binding:
- Paperback/Science
- ISBN-10:
- 3031061853
- ISBN-13:
- 9783031061851