000			02465nam a22003015i 4500
001			92204
005			20240325111738.0
010			_a978-3-031-06186-8 _dcompra
090			_a92204
100			_a20231023d2022 k||y0pory50 ba
101			_aeng
102			_aCH
200			_aWave packet analysis of Feynman path integrals _bDocumento eletrónico _fby Fabio Nicola, S. Ivan Trapasso
210			_aCham _cSpringer _d2022
215			_aXIII, 214 p. _cil.
225			_aLecture Notes in Mathematics _v2305
303			_aThe 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.
606			_aIntegrais de Feynman
606			_aMecânica quântica
606			_aAnálise funcional
680			_aQC174.17
700			_aNicola _bFabio
701			_aTrapasso _bS. Ivan _4070 _972778
801			_aPT _gRPC
856			_uhttps://doi.org/10.1007/978-3-031-06186-8
942			_2lcc _cF _n0