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Wave Packet Analysis of Feynman Path Integrals (Lecture Notes in Mathematics, 2305) free ebook download

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Mathematics

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Author(s):	Fabio Nicola

Date:	2021	Format:	pdf	Language:	English	ISBN/ASIN:	3031061853
Pages:	227	OCR:		Quality:		ISBN13:
Uploader:	topron	Upload Date:	8/21/2022 3:21:42 AM

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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 Schrdinger-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.
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3142471	Book	https://nitroflare.com/view/ABBC399E6A89...		0.00	topron

Tags: Analysis Feynman Integrals Lecture Mathematics Notes Packet Path Wave

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Wave Packet Analysis of Feynman Path Integrals (Lecture Notes in Mathematics, 2305) free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics