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Wave Packet Analysis of Feynman Path Integrals by Fabio Nicola & S. Ivan Trapasso is a nonfiction available to read on EtoBox.

What is Wave Packet Analysis of Feynman Path Integrals about?

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

Who reads Wave Packet Analysis of Feynman Path Integrals?

Author

Fabio Nicola & S. Ivan Trapasso

Publisher

Springer International Publishing

Published

2022

Language

EN

ISBN

9783031061868

Category

nonfiction

Subjects

Science, Mathematics, Physics