Mathematical Physics Spectral Theory And Stochastic Analysis

Author : Michael Demuth,Werner Kirsch
Publisher : Springer Science & Business Media
Page : 339 pages
File Size : 54,7 Mb
Release : 2014-07-08
Category : Mathematics
ISBN : 9783034805919

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Mathematical Physics, Spectral Theory and Stochastic Analysis by Michael Demuth,Werner Kirsch Pdf

This volume presents self-contained survey articles on modern research areas written by experts in their fields. The topics are located at the interface of spectral theory, theory of partial differential operators, stochastic analysis, and mathematical physics. The articles are accessible to graduate students and researches from other fields of mathematics or physics while also being of value to experts, as they report on the state of the art in the respective fields.

Author : Marius Mantoiu,Georgi Raikov,Rafael Tiedra de Aldecoa
Publisher : Birkhäuser
Page : 255 pages
File Size : 53,7 Mb
Release : 2016-06-30
Category : Mathematics
ISBN : 9783319299921

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Spectral Theory and Mathematical Physics by Marius Mantoiu,Georgi Raikov,Rafael Tiedra de Aldecoa Pdf

The present volume contains the Proceedings of the International Conference on Spectral Theory and Mathematical Physics held in Santiago de Chile in November 2014. Main topics are: Ergodic Quantum Hamiltonians, Magnetic Schrödinger Operators, Quantum Field Theory, Quantum Integrable Systems, Scattering Theory, Semiclassical and Microlocal Analysis, Spectral Shift Function and Quantum Resonances. The book presents survey articles as well as original research papers on these topics. It will be of interest to researchers and graduate students in Mathematics and Mathematical Physics.

Author : Rolando Rebolledo
Publisher : Springer Science & Business Media
Page : 168 pages
File Size : 46,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461213727

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Stochastic Analysis and Mathematical Physics by Rolando Rebolledo Pdf

The seminar on Stochastic Analysis and Mathematical Physics started in 1984 at the Catholic University of Chile in Santiago and has been an on going research activity. Since 1995, the group has organized international workshops as a way of promoting a broader dialogue among experts in the areas of classical and quantum stochastic analysis, mathematical physics and physics. This volume, consisting primarily of contributions to the Third Inter national Workshop on Stochastic Analysis and Mathematical Physics (in Spanish ANESTOC), held in Santiago, Chile, in October 1998, focuses on an analysis of quantum dynamics and related problems in probability the ory. Various articles investigate quantum dynamical semigroups and new results on q-deformed oscillator algebras, while others examine the appli cation of classical stochastic processes in quantum modeling. As in previous workshops, the topic of quantum flows and semigroups occupied an important place. In her paper, R. Carbone uses a spectral type analysis to obtain exponential rates of convergence towards the equilibrium of a quantum dynamical semigroup in the £2 sense. The method is illus trated with a quantum extension of a classical birth and death process. Quantum extensions of classical Markov processes lead to subtle problems of domains. This is in particular illustrated by F. Fagnola, who presents a pathological example of a semigroup for which the largest * -subalgebra (of the von Neumann algebra of bounded linear operators of £2 (lR+, IC)), con tained in the domain of its infinitesimal generator, is not a-weakly dense.

Author : Fritz Gesztesy
Publisher : Unknown
Page : 128 pages
File Size : 42,5 Mb
Release : 2018
Category : Electronic
ISBN : 3037196866

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Non-Linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis: The Helge Holden Anniversary Volume by Fritz Gesztesy Pdf

Author : Helge Holden,Barry Simon,Gerald Teschl
Publisher : American Mathematical Soc.
Page : 409 pages
File Size : 54,8 Mb
Release : 2013-07-08
Category : Mathematics
ISBN : 9780821875742

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Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday by Helge Holden,Barry Simon,Gerald Teschl Pdf

This volume contains twenty contributions in the area of mathematical physics where Fritz Gesztesy made profound contributions. There are three survey papers in spectral theory, differential equations, and mathematical physics, which highlight, in particu

Author : Fritz Gesztesy
Publisher : American Mathematical Soc.
Page : 528 pages
File Size : 54,8 Mb
Release : 2007
Category : Mathematical physics
ISBN : 9780821842485

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Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday by Fritz Gesztesy Pdf

This Festschrift had its origins in a conference called SimonFest held at Caltech, March 27-31, 2006, to honor Barry Simon's 60th birthday. It is not a proceedings volume in the usual sense since the emphasis of the majority of the contributions is on reviews of the state of the art of certain fields, with particular focus on recent developments and open problems. The bulk of the articles in this Festschrift are of this survey form, and a few review Simon's contributions to aparticular area. Part 1 contains surveys in the areas of Quantum Field Theory, Statistical Mechanics, Nonrelativistic Two-Body and $N$-Body Quantum Systems, Resonances, Quantum Mechanics with Electric and Magnetic Fields, and the Semiclassical Limit. Part 2 contains surveys in the areas of Random andErgodic Schrodinger Operators, Singular Continuous Spectrum, Orthogonal Polynomials, and Inverse Spectral Theory. In several cases, this collection of surveys portrays both the history of a subject and its current state of the art. A substantial part of the contributions to this Festschrift are survey articles on the state of the art of certain areas with special emphasis on open problems. This will benefit graduate students as well as researchers who want to get a quick, yet comprehensiveintroduction into an area covered in this volume.

Author : Jean-claude Zambrini
Publisher : World Scientific
Page : 718 pages
File Size : 52,5 Mb
Release : 2006-03-07
Category : Science
ISBN : 9789814480765

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Xivth International Congress On Mathematical Physics by Jean-claude Zambrini Pdf

In 2003 the XIV International Congress on Mathematical Physics (ICMP) was held in Lisbon with more than 500 participants. Twelve plenary talks were given in various fields of Mathematical Physics: E Carlen «On the relation between the Master equation and the Boltzmann Equation in Kinetic Theory»; A Chenciner «Symmetries and “simple” solutions of the classical n-body problem»; M J Esteban «Relativistic models in atomic and molecular physics»; K Fredenhagen «Locally covariant quantum field theory»; K Gawedzki «Simple models of turbulent transport»; I Krichever «Algebraic versus Liouville integrability of the soliton systems»; R V Moody «Long-range order and diffraction in mathematical quasicrystals»; S Smirnov «Critical percolation and conformal invariance»; J P Solovej «The energy of charged matter»; V Schomerus «Strings through the microscope»; C Villani «Entropy production and convergence to equilibrium for the Boltzmann equation»; D Voiculescu «Aspects of free probability».The book collects as well carefully selected invited Session Talks in: Dynamical Systems, Integrable Systems and Random Matrix Theory, Condensed Matter Physics, Equilibrium Statistical Mechanics, Quantum Field Theory, Operator Algebras and Quantum Information, String and M Theory, Fluid Dynamics and Nonlinear PDE, General Relativity, Nonequilibrium Statistical Mechanics, Quantum Mechanics and Spectral Theory, Path Integrals and Stochastic Analysis.

Author : Michael Demuth,Bert-Wolfgang Schulze
Publisher : Birkhäuser
Page : 346 pages
File Size : 52,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034882316

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Partial Differential Equations and Spectral Theory by Michael Demuth,Bert-Wolfgang Schulze Pdf

The intention of the international conference PDE2000 was to bring together specialists from different areas of modern analysis, mathematical physics and geometry, to discuss not only the recent progress in their own fields but also the interaction between these fields. The special topics of the conference were spectral and scattering theory, semiclassical and asymptotic analysis, pseudodifferential operators and their relation to geometry, as well as partial differential operators and their connection to stochastic analysis and to the theory of semigroups. The scientific advisory board of the conference in Clausthal consisted of M. Ben-Artzi (Jerusalem), Chen Hua (Peking), M. Demuth (Clausthal), T. Ichinose (Kanazawa), L. Rodino (Turin), B.-W. Schulze (Potsdam) and J. Sjöstrand (Paris). The book is aimed at researchers in mathematics and mathematical physics with interests in partial differential equations and all its related fields.

Author : M. Sh. Birman
Publisher : Springer Science & Business Media
Page : 96 pages
File Size : 45,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781468475890

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Spectral Theory by M. Sh. Birman Pdf

Author : Bernard Helffer
Publisher : Cambridge University Press
Page : 263 pages
File Size : 50,9 Mb
Release : 2013-01-17
Category : Mathematics
ISBN : 9781107032309

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Spectral Theory and Its Applications by Bernard Helffer Pdf

Introduces the basic tools in spectral analysis using numerous examples from the Schrödinger operator theory and various branches of physics.

Author : M. Sh. Birman
Publisher : Springer Science & Business Media
Page : 121 pages
File Size : 47,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781468489262

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Spectral Theory and Wave Processes by M. Sh. Birman Pdf

Author : Palle Jorgensen,James Tian
Publisher : World Scientific
Page : 253 pages
File Size : 52,6 Mb
Release : 2021-01-15
Category : Mathematics
ISBN : 9789811225796

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Infinite-dimensional Analysis: Operators In Hilbert Space; Stochastic Calculus Via Representations, And Duality Theory by Palle Jorgensen,James Tian Pdf

The purpose of this book is to make available to beginning graduate students, and to others, some core areas of analysis which serve as prerequisites for new developments in pure and applied areas. We begin with a presentation (Chapters 1 and 2) of a selection of topics from the theory of operators in Hilbert space, algebras of operators, and their corresponding spectral theory. This is a systematic presentation of interrelated topics from infinite-dimensional and non-commutative analysis; again, with view to applications. Chapter 3 covers a study of representations of the canonical commutation relations (CCRs); with emphasis on the requirements of infinite-dimensional calculus of variations, often referred to as Ito and Malliavin calculus, Chapters 4-6. This further connects to key areas in quantum physics.

Author : Akihito Hora,Nobuaki Obata
Publisher : Springer Science & Business Media
Page : 384 pages
File Size : 42,6 Mb
Release : 2007-07-05
Category : Science
ISBN : 9783540488637

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Quantum Probability and Spectral Analysis of Graphs by Akihito Hora,Nobuaki Obata Pdf

This is the first book to comprehensively cover quantum probabilistic approaches to spectral analysis of graphs, an approach developed by the authors. The book functions as a concise introduction to quantum probability from an algebraic aspect. Here readers will learn several powerful methods and techniques of wide applicability, recently developed under the name of quantum probability. The exercises at the end of each chapter help to deepen understanding.

Author : M. Sh Birman
Publisher : Unknown
Page : 99 pages
File Size : 42,8 Mb
Release : 1969
Category : Electronic
ISBN : 0608304379

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Spectral Theory by M. Sh Birman Pdf

Author : Michael Demuth,Jan A. van Casteren
Publisher : Birkhäuser
Page : 476 pages
File Size : 50,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783034884600

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Stochastic Spectral Theory for Selfadjoint Feller Operators by Michael Demuth,Jan A. van Casteren Pdf

In this book, a beautiful interplay between probability theory (Markov processes, martingale theory) on the one hand and operator and spectral theory on the other yields a uniform treatment of several kinds of Hamiltonians such as the Laplace operator, relativistic Hamiltonian, Laplace-Beltrami operator, and generators of Ornstein-Uhlenbeck processes. The unified approach provides a new viewpoint of and a deeper insight into the subject.