Wave Packet Analysis Of Feynman Path Integrals
DOWNLOAD
Download Wave Packet Analysis Of Feynman Path Integrals PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Wave Packet Analysis Of Feynman Path Integrals book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Wave Packet Analysis Of Feynman Path Integrals
DOWNLOAD
Author : Fabio Nicola
language : en
Publisher: Springer Nature
Release Date : 2022-07-28
Wave Packet Analysis Of Feynman Path Integrals written by Fabio Nicola and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-28 with Science categories.
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 Dynamics With Trajectories
DOWNLOAD
Author : Robert E. Wyatt
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-28
Quantum Dynamics With Trajectories written by Robert E. Wyatt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-28 with Mathematics categories.
This is a rapidly developing field to which the author is a leading contributor New methods in quantum dynamics and computational techniques, with applications to interesting physical problems, are brought together in this book Useful to both students and researchers
Pseudo Differential Operators And Related Topics
DOWNLOAD
Author : Vishvesh Kumar
language : en
Publisher: Springer Nature
Release Date : 2025-01-28
Pseudo Differential Operators And Related Topics written by Vishvesh Kumar and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-28 with Mathematics categories.
The current volume gives an update on recent developments in the theory of pseudo-differential operators and related topics. The results collected here were presented at the Pseudo-Differential Operators and Related Topics (PSORT) 2024 Conference at Ghent University, Belgium, and cover a wide range of topics in pseudo-differential operators, microlocal analysis, time-frequency analysis, and related applications.
Gauge Integral Structures For Stochastic Calculus And Quantum Electrodynamics
DOWNLOAD
Author : Patrick Muldowney
language : en
Publisher: John Wiley & Sons
Release Date : 2021-04-23
Gauge Integral Structures For Stochastic Calculus And Quantum Electrodynamics written by Patrick Muldowney and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-23 with Mathematics categories.
GAUGE INTEGRAL STRUCTURES FOR STOCHASTIC CALCULUS AND QUANTUM ELECTRODYNAMICS A stand-alone introduction to specific integration problems in the probabilistic theory of stochastic calculus Picking up where his previous book, A Modern Theory of Random Variation, left off, Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics introduces readers to particular problems of integration in the probability-like theory of quantum mechanics. Written as a motivational explanation of the key points of the underlying mathematical theory, and including ample illustrations of the calculus, this book relies heavily on the mathematical theory set out in the author’s previous work. That said, this work stands alone and does not require a reading of A Modern Theory of Random Variation in order to be understandable. Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics takes a gradual, relaxed, and discursive approach to the subject in a successful attempt to engage the reader by exploring a narrower range of themes and problems. Organized around examples with accompanying introductions and explanations, the book covers topics such as: Stochastic calculus, including discussions of random variation, integration and probability, and stochastic processes Field theory, including discussions of gauges for product spaces and quantum electrodynamics Robust and thorough appendices, examples, illustrations, and introductions for each of the concepts discussed within An introduction to basic gauge integral theory (for those unfamiliar with the author’s previous book) The methods employed in this book show, for instance, that it is no longer necessary to resort to unreliable “Black Box” theory in financial calculus; that full mathematical rigor can now be combined with clarity and simplicity. Perfect for students and academics with even a passing interest in the application of the gauge integral technique pioneered by R. Henstock and J. Kurzweil, Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics is an illuminating and insightful exploration of the complex mathematical topics contained within.
Mathematical Feynman Path Integrals And Their Applications Second Edition
DOWNLOAD
Author : Sonia Mazzucchi
language : en
Publisher: World Scientific
Release Date : 2021-11-16
Mathematical Feynman Path Integrals And Their Applications Second Edition written by Sonia Mazzucchi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-16 with Science categories.
Feynman path integrals are ubiquitous in quantum physics, even if a large part of the scientific community still considers them as a heuristic tool that lacks a sound mathematical definition. Our book aims to refute this prejudice, providing an extensive and self-contained description of the mathematical theory of Feynman path integration, from the earlier attempts to the latest developments, as well as its applications to quantum mechanics.This second edition presents a detailed discussion of the general theory of complex integration on infinite dimensional spaces, providing on one hand a unified view of the various existing approaches to the mathematical construction of Feynman path integrals and on the other hand a connection with the classical theory of stochastic processes. Moreover, new chapters containing recent applications to several dynamical systems have been added.This book bridges between the realms of stochastic analysis and the theory of Feynman path integration. It is accessible to both mathematicians and physicists.
Quantum Mechanics And Path Integrals
DOWNLOAD
Author : Richard P. Feynman
language : en
Publisher: Courier Corporation
Release Date : 2010-07-21
Quantum Mechanics And Path Integrals written by Richard P. Feynman and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-21 with Science categories.
Looks at quantum mechanics, covering such topics as perturbation method, statistical mechanics, path integrals, and quantum electrodynamics.
Path Integrals From Pev To Tev 50 Years After Feynman S Paper Proceedings Of The Sixth International Conference
DOWNLOAD
Author : Valerio Tognetti
language : en
Publisher: World Scientific
Release Date : 1999-04-01
Path Integrals From Pev To Tev 50 Years After Feynman S Paper Proceedings Of The Sixth International Conference written by Valerio Tognetti and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-04-01 with categories.
This book contains the invited contributions to the 6th International Conference on Path Integrals from peV to TeV, held in Florence in 1998. The conference, devoted to functional integration, brought together many physicists with interests ranging from elementary particles to nuclear, solid state, liquid state, polymer and complex systems physics. The variety of topics is reflected in the book, which is a unique collection of papers on manifold applications of functional methods in several areas of physics.
Coherent Cooperative Phenomena
DOWNLOAD
Author : N. G. Basov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Coherent Cooperative Phenomena written by N. G. Basov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
This anthology is devoted to the theoretical and experimental study of coherent phenomena in quantum optics. Considerable attention is devoted to the investigation of cooperative effects in multilevel molecular and atomic systems. The theoretical analysis is based on a single approach, using the theory of groups, which makes it possible to present the results in a compact and physically elegant form. The results of a detailed experimental and theoretical investigation of the photon echo, self-induced transparency, and nutation are presented. The theory of a coherent resonant mechanism for the interaction of laser radiation with multi atomic molecules which causes "prompt" dissociation is presented. A number of applied pos sibilities, in particular, the control of radiation by laser light and laser isotope separation, are analyzed.
Principles Of Non Relativistic And Relativistic Quantum Mechanics
DOWNLOAD
Author : KRORI, K. D.
language : en
Publisher: PHI Learning Pvt. Ltd.
Release Date : 2020-07-01
Principles Of Non Relativistic And Relativistic Quantum Mechanics written by KRORI, K. D. and has been published by PHI Learning Pvt. Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-01 with Science categories.
Intended for undergraduate and postgraduate students of physics and chemistry, this textbook covers the entire spectrum of both non-relativistic quantum mechanics and relativistic quantum mechanics in a simple style to be truly beneficial to all levels of students. The book is organized in three parts. The first part describes the development of quantum theory, starting from Planck's law to de Broglie hypothesis. The Schrödinger theory has been introduced with relevant logic. This part also includes the treatments of angular momentum, path integral formalism, two-electron systems and interaction of radiation with matter. The second part deals with relativistic quantum theory including Klein–Gordon and Dirac equations, Weyl's neutrino theory, ending with gauge theory applied to Salam–Weinberg electroweak theory. The third part delves into the conceptual foundations of quantum mechanics, and Einstein–Bohr debate culminating in Bell's inequality theorem. The book concludes with a discussion on three quantum interference effects in electromagnetic and gravitation fields each of which has a deep physical importance. NEW TO THE SECOND EDITION • New topics on: o Bose Statistics o Periodic Potential o Clebsech – Gordan Coefficients o Quantum Entanglement • New Appendices on: o Noether's Theorem o Space Reflection, Time Reversal and Charge Conjugation TARGET AUDIENCE • B.Sc./M.Sc. (Physics) • B.Sc./M.Sc. (Chemistry)
Stochastic Calculus With Infinitesimals
DOWNLOAD
Author : Frederik S. Herzberg
language : en
Publisher: Springer
Release Date : 2012-11-06
Stochastic Calculus With Infinitesimals written by Frederik S. Herzberg and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-06 with Mathematics categories.
Stochastic analysis is not only a thriving area of pure mathematics with intriguing connections to partial differential equations and differential geometry. It also has numerous applications in the natural and social sciences (for instance in financial mathematics or theoretical quantum mechanics) and therefore appears in physics and economics curricula as well. However, existing approaches to stochastic analysis either presuppose various concepts from measure theory and functional analysis or lack full mathematical rigour. This short book proposes to solve the dilemma: By adopting E. Nelson's "radically elementary" theory of continuous-time stochastic processes, it is based on a demonstrably consistent use of infinitesimals and thus permits a radically simplified, yet perfectly rigorous approach to stochastic calculus and its fascinating applications, some of which (notably the Black-Scholes theory of option pricing and the Feynman path integral) are also discussed in the book.