Wave Packet Analysis of Feynman Path Integrals - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Wave Packet Analysis of Feynman Path Integrals write by Fabio Nicola. This book was released on 2022-07-28. Wave Packet Analysis of Feynman Path Integrals available in PDF, EPUB and Kindle. 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.
Quantum Mechanics and Path Integrals [by] R.P. Feynman [and] A.R. Hibbs
Quantum Mechanics and Path Integrals [by] R.P. Feynman [and] A.R. Hibbs - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quantum Mechanics and Path Integrals [by] R.P. Feynman [and] A.R. Hibbs write by Richard Phillips Feynman. This book was released on 1965. Quantum Mechanics and Path Integrals [by] R.P. Feynman [and] A.R. Hibbs available in PDF, EPUB and Kindle.
Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets
Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets write by Hagen Kleinert. This book was released on 2009. Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets available in PDF, EPUB and Kindle. Topological restrictions. These are relevant to the understanding of the statistical properties of elementary particles and the entanglement phenomena in polymer physics and biophysics. The Chern-Simons theory of particles with fractional statistics (anyons) is introduced and applied to explain the fractional quantum Hall effect." "The relevance of path integrals to financial markets is discussed, and improvements of the famous Black-Scholes formula for option prices are developed which account for the fact that large market fluctuations occur much more frequently than in Gaussian distributions." --Book Jacket.
Feynman's Thesis
Feynman's Thesis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Feynman's Thesis write by Richard Phillips Feynman. This book was released on 2005. Feynman's Thesis available in PDF, EPUB and Kindle. Richard Feynman's never previously published doctoral thesis formed the heart of much of his brilliant and profound work in theoretical physics. Entitled ?The Principle of Least Action in Quantum Mechanics," its original motive was to quantize the classical action-at-a-distance electrodynamics. Because that theory adopted an overall space?time viewpoint, the classical Hamiltonian approach used in the conventional formulations of quantum theory could not be used, so Feynman turned to the Lagrangian function and the principle of least action as his points of departure.The result was the path integral approach, which satisfied ? and transcended ? its original motivation, and has enjoyed great success in renormalized quantum field theory, including the derivation of the ubiquitous Feynman diagrams for elementary particles. Path integrals have many other applications, including atomic, molecular, and nuclear scattering, statistical mechanics, quantum liquids and solids, Brownian motion, and noise theory. It also sheds new light on fundamental issues like the interpretation of quantum theory because of its new overall space?time viewpoint.The present volume includes Feynman's Princeton thesis, the related review article ?Space?Time Approach to Non-Relativistic Quantum Mechanics? [Reviews of Modern Physics 20 (1948), 367?387], Paul Dirac's seminal paper ?The Lagrangian in Quantum Mechanics'' [Physikalische Zeitschrift der Sowjetunion, Band 3, Heft 1 (1933)], and an introduction by Laurie M Brown.
Path Integrals and Quantum Processes
Path Integrals and Quantum Processes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Path Integrals and Quantum Processes write by Mark S. Swanson. This book was released on 2014-02-19. Path Integrals and Quantum Processes available in PDF, EPUB and Kindle. Graduate-level, systematic presentation of path integral approach to calculating transition elements, partition functions, and source functionals. Covers Grassmann variables, field and gauge field theory, perturbation theory, and nonperturbative results. 1992 edition.
