书目名称 | Wave Packet Analysis of Feynman Path Integrals |
编辑 | Fabio Nicola,S. Ivan Trapasso |
视频video | |
概述 | Includes a self-contained treatment of the background toolkit.Describes a novel approach to the analysis of Feynman path integrals.Provides a detailed exposition of recent advances in mathematical pat |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | 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 wayto 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 |
出版日期 | Book 2022 |
关键词 | Feynman Path Integrals; Pseudodifferential Operators; Pointwise Convergence of Kernels; Time Slicing Ap |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-031-06186-8 |
isbn_softcover | 978-3-031-06185-1 |
isbn_ebook | 978-3-031-06186-8Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |