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Nome campo	dettagli
Dewey Class	530.1430151543
Titolo	Wave Packet Analysis of Feynman Path Integrals ([EBook]) / Fabio Nicola , S. Ivan Trapasso
Autore	Nicola, Fabio
Added Personal Name	Trapasso, S. Ivan
Pubblicazione	Cham : Springer International Publishing , 2022
Physical Details	: online resource (xiii, 214 p.)
Serie	Lecture Notes in Mathematics ; 2305
ISBN	9783031061868
Summary Note	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.:
Mode of acces to digital resource	Digital reproduction.- Cham : Springer International Publishing, 2022. - Digital book. Cham Springer Nature 2022. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-031-06186-8
Link alle Opere Legate	Riferimenti soggetto: . Feynman integrals . Functional Analysis . Quantum Physics . Wave packets . Authors: Nicola, Fabio . Trapasso, S. Ivan . Series: Lecture Notes in Mathematics . Classification: 530.1430151543 .

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Wave Packet Analysis of Feynman Path Integrals

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