Semiclassical Analysis, Witten Laplacians, and Statistical Mechanics

Semiclassical Analysis, Witten Laplacians, and Statistical Mechanics
Author: Bernard Helffer
Publisher: World Scientific
Total Pages: 200
Release: 2002
Genre: Mathematics
ISBN: 9789812380982


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This important book explains how the technique of Witten Laplacians may be useful in statistical mechanics. It considers the problem of analyzing the decay of correlations, after presenting its origin in statistical mechanics. In addition, it compares the Witten Laplacian approach with other techniques, such as the transfer matrix approach and its semiclassical analysis. The author concludes by providing a complete proof of the uniform Log-Sobolev inequality.


Semiclassical Analysis, Witten Laplacians, and Statistical Mechanics
Language: en
Pages: 200
Authors: Bernard Helffer
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher: World Scientific

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This important book explains how the technique of Witten Laplacians may be useful in statistical mechanics. It considers the problem of analyzing the decay of c
Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians
Language: en
Pages: 228
Authors: Francis Nier
Categories: Mathematics
Type: BOOK - Published: 2005-02-11 - Publisher: Springer Science & Business Media

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There has recently been a renewal of interest in Fokker-Planck operators, motivated by problems in statistical physics, in kinetic equations, and differential g
Mathematical Physics of Quantum Mechanics
Language: en
Pages: 491
Authors: Joachim Asch
Categories: Science
Type: BOOK - Published: 2006-09-09 - Publisher: Springer

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This selection of outstanding articles – an outgrowth of the QMath9 meeting for young scientists – covers new techniques and recent results on spectral theo
Spectral Theory and its Applications
Language: en
Pages: 263
Authors: Bernard Helffer
Categories: Mathematics
Type: BOOK - Published: 2013-01-17 - Publisher: Cambridge University Press

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Bernard Helffer's graduate-level introduction to the basic tools in spectral analysis is illustrated by numerous examples from the Schrödinger operator theory
Complex Analysis
Language: en
Pages: 348
Authors: Friedrich Haslinger
Categories: Mathematics
Type: BOOK - Published: 2017-11-20 - Publisher: Walter de Gruyter GmbH & Co KG

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In this textbook, a concise approach to complex analysis of one and several variables is presented. After an introduction of Cauchy‘s integral theorem general