Capa do artigo Wave Packet Analysis Of Feynman Path Integrals
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Wave Packet Analysis Of Feynman Path Integrals eBook

by S. Ivan Trapasso e Fabio Nicola
Book eBook
language: english
Publisher: Springer International Publishing, July of 2022 ‧
72,86€
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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 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.

Wave Packet Analysis Of Feynman Path Integrals

by S. Ivan Trapasso e Fabio Nicola

Property Description
ISBN: 9783031061868
Publisher: Springer International Publishing
Release Date: July of 2022
Language: English
Format: eBook
Collection: Lecture Notes In Mathematics
Categories: eBooks in English > Science > Mathematics
EAN: 9783031061868
Acessibilidade: Ver características de acessibilidade indicadas pelo editor

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