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Asymptotic Time Decay in Quantum Physics

2013 Science
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Release : 2013
Genre : Science
Kind : eBook
Book Rating : 805/5 ( reviews)

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Book Synopsis Asymptotic Time Decay in Quantum Physics by : Domingos H. U. Marchetti

Download or read book Asymptotic Time Decay in Quantum Physics written by Domingos H. U. Marchetti. This book was released on 2013. Available in PDF, EPUB and Kindle. Book excerpt: Time decays form the basis of a multitude of important and interesting phenomena in quantum physics that range from spectral properties, resonances, return and approach to equilibrium, to quantum mixing, dynamical stability preperties and irreversibility and the "arrow of time." This monograph is devoted to a clear and precise, yet pedagogical account of the associated concepts and methods.

Dispersion Decay and Scattering Theory

2014-08-21 Mathematics
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Release : 2014-08-21
Genre : Mathematics
Kind : eBook
Book Rating : 889/5 ( reviews)

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Book Synopsis Dispersion Decay and Scattering Theory by : Alexander Komech

Download or read book Dispersion Decay and Scattering Theory written by Alexander Komech. This book was released on 2014-08-21. Available in PDF, EPUB and Kindle. Book excerpt: A simplified, yet rigorous treatment of scattering theory methods and their applications Dispersion Decay and Scattering Theory provides thorough, easy-to-understand guidance on the application of scattering theory methods to modern problems in mathematics, quantum physics, and mathematical physics. Introducing spectral methods with applications to dispersion time-decay and scattering theory, this book presents, for the first time, the Agmon-Jensen-Kato spectral theory for the Schr?dinger equation, extending the theory to the Klein-Gordon equation. The dispersion decay plays a crucial role in the modern application to asymptotic stability of solitons of nonlinear Schr?dinger and Klein-Gordon equations. The authors clearly explain the fundamental concepts and formulas of the Schr?dinger operators, discuss the basic properties of the Schr?dinger equation, and offer in-depth coverage of Agmon-Jensen-Kato theory of the dispersion decay in the weighted Sobolev norms. The book also details the application of dispersion decay to scattering and spectral theories, the scattering cross section, and the weighted energy decay for 3D Klein-Gordon and wave equations. Complete streamlined proofs for key areas of the Agmon-Jensen-Kato approach, such as the high-energy decay of the resolvent and the limiting absorption principle are also included. Dispersion Decay and Scattering Theory is a suitable book for courses on scattering theory, partial differential equations, and functional analysis at the graduate level. The book also serves as an excellent resource for researchers, professionals, and academics in the fields of mathematics, mathematical physics, and quantum physics who would like to better understand scattering theory and partial differential equations and gain problem-solving skills in diverse areas, from high-energy physics to wave propagation and hydrodynamics.

Time in Quantum Mechanics

2003-07-01 Science
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Release : 2003-07-01
Genre : Science
Kind : eBook
Book Rating : 468/5 ( reviews)

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Book Synopsis Time in Quantum Mechanics by : J.G. Muga

Download or read book Time in Quantum Mechanics written by J.G. Muga. This book was released on 2003-07-01. Available in PDF, EPUB and Kindle. Book excerpt: Time and quantum mechanics have, each of them separately, captivated s- entists and laymen alike, as shown by the abundance of popular publications on “time” or on the many quantum mysteries or paradoxes. We too have been seduced by these two topics, and in particular by their combination. Indeed, the treatment of time in quantum mechanics is one of the important and challenging open questions in the foundations of quantum theory. This book describes the problems, and the attempts and achievements in de?ning, formalizing and measuring di?erent time quantities in quantum theory, such as the parametric (clock) time, tunneling times, decay times, dwell times, delay times, arrival times or jump times. The theoretical analysis of several of these quantities has been controversial and is still subject to debate. For example, there are literally hundreds of research papers on the tunneling time. In fact, the standard recipe to link the observables and the formalism does not seem to apply, at least in an obvious manner, to time observables. This has posed the challenge of extending the domain of ordinary quantum mechanics.

Time in Quantum Mechanics

2007-11-30 Science
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Release : 2007-11-30
Genre : Science
Kind : eBook
Book Rating : 732/5 ( reviews)

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Book Synopsis Time in Quantum Mechanics by : Gonzalo Muga

Download or read book Time in Quantum Mechanics written by Gonzalo Muga. This book was released on 2007-11-30. Available in PDF, EPUB and Kindle. Book excerpt: The treatment of time in quantum mechanics is still an important and challenging open question in the foundation of the quantum theory. This multi-authored book, written as an introductory guide for newcomers to the subject, as well as a useful source of information for the expert, covers many of the open questions. The book describes the problems, and the attempts and achievements in defining, formalizing and measuring different time quantities in quantum theory.

Mathematical Results in Quantum Mechanics

2002 Mathematics
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Release : 2002
Genre : Mathematics
Kind : eBook
Book Rating : 009/5 ( reviews)

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Book Synopsis Mathematical Results in Quantum Mechanics by : Pavel Exner

Download or read book Mathematical Results in Quantum Mechanics written by Pavel Exner. This book was released on 2002. Available in PDF, EPUB and Kindle. Book excerpt: This work contains contributions presented at the conference, QMath-8: Mathematical Results in Quantum Mechanics'', held at Universidad Nacional Autonoma de Mexico in December 2001. The articles cover a wide range of mathematical problems and focus on various aspects of quantum mechanics, quantum field theory and nuclear physics. Topics vary from spectral properties of the Schrodinger equation of various quantum systems to the analysis of quantum computation algorithms. The book should be suitable for graduate students and research mathematicians interested in the mathematical aspects of quantum mechanics.

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