WorldCat Identities

Helffer, Bernard

Overview
Works: 74 works in 230 publications in 2 languages and 4,130 library holdings
Roles: Editor
Classifications: QC174.86.C6, 530.13
Publication Timeline
Key
Publications about  Bernard Helffer Publications about Bernard Helffer
Publications by  Bernard Helffer Publications by Bernard Helffer
Most widely held works by Bernard Helffer
Semiclassical analysis, Witten Laplacians, and statistical mechanics by Bernard Helffer ( )
15 editions published in 2002 in English and held by 1,146 WorldCat member libraries worldwide
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
Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians by Bernard Helffer ( )
20 editions published in 2005 in English and held by 647 WorldCat member libraries worldwide
Spectral methods in surface superconductivity by Søren Fournais ( )
15 editions published between 2009 and 2010 in English and Undetermined and held by 397 WorldCat member libraries worldwide
During the past decade, the mathematics of superconductivity has been the subject of intense activity. This book examines in detail the nonlinear Ginzburg-Landau functional, the model most commonly used in the study of superconductivity. Specifically covered are cases in the presence of a strong magnetic field and with a sufficiently large Ginzburg-Landau parameter kappa. Key topics and features of the work: * Provides a concrete introduction to techniques in spectral theory and partial differential equations * Offers a complete analysis of the two-dimensional Ginzburg-Landau functional with large kappa in the presence of a magnetic field * Treats the three-dimensional case thoroughly * Includes open problems Spectral Methods in Surface Superconductivity is intended for students and researchers with a graduate-level understanding of functional analysis, spectral theory, and the analysis of partial differential equations. The book also includes an overview of all nonstandard material as well as important semi-classical techniques in spectral theory that are involved in the nonlinear study of superconductivity
Semi-classical analysis for the Schrödinger operator and applications by Bernard Helffer ( Book )
13 editions published in 1988 in English and held by 345 WorldCat member libraries worldwide
This introduction to semi-classical analysis is an extension of a course given by the author at the University of Nankai. It presents for some of the standard cases presented in quantum mechanics books a rigorous study of the tunneling effect, as an introduction to recent research work. The book may be read by a graduate student familiar with the classic book of Reed-Simon, and for some chapters basic notions in differential geometry. The mathematician will find here a nice application of PDE techniques and the physicist will discover the precise link between approximate solutions (B.K.W. constructions) and exact eigenfunctions (in every dimension). An application to Witten's approach for the proof of the Morse inequalities is given, as are recent results for the Schrdinger operator with periodic potentials
Spectral theory and its applications by Bernard Helffer ( Book )
14 editions published in 2013 in English and held by 254 WorldCat member libraries worldwide
"Bernard Helffer's graduate-level introduction to the basic tools in spectral analysis is illustrated by numerous examples from the Schrödinger operator theory and various branches of physics: statistical mechanics, superconductivity, fluid mechanics and kinetic theory. The later chapters also introduce non self-adjoint operator theory with an emphasis on the role of the pseudospectra"--
Hypoellipticité maximale pour des opérateurs polynomes de champs de vecteurs by Bernard Helffer ( Book )
11 editions published in 1985 in French and English and held by 201 WorldCat member libraries worldwide
Théorie spectrale pour des opérateurs globalement elliptiques by Bernard Helffer ( Book )
13 editions published between 1981 and 1984 in French and English and held by 158 WorldCat member libraries worldwide
Introduction to the semi-classical analysis for the Schrödinger operator and applications by Bernard Helffer ( Book )
2 editions published in 1988 in English and held by 144 WorldCat member libraries worldwide
Résonances en limite semi-classique by Bernard Helffer ( Book )
9 editions published in 1986 in 3 languages and held by 97 WorldCat member libraries worldwide
Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach : the case with boundary by Bernard Helffer ( Book )
4 editions published in 2006 in English and held by 93 WorldCat member libraries worldwide
Semi-classical analysis for Harper's equation III : Cantor structure of the spectrum by Bernard Helffer ( Book )
8 editions published between 1988 and 1990 in English and French and held by 90 WorldCat member libraries worldwide
Le papillon de Hofstadter revisité by Bernard Helffer ( Book )
7 editions published in 1990 in French and held by 88 WorldCat member libraries worldwide
Analyse semi-classique pour l'équation de Harper : (avec application à l'équation de Schrödinger avec champ magnétique) by Bernard Helffer ( Book )
12 editions published between 1988 and 1989 in French and English and held by 88 WorldCat member libraries worldwide
Analyse semi-classique pour l'équation de Harper : comportement semi-classique prés dún rationnel by Bernard Helffer ( Book )
9 editions published in 1990 in French and English and held by 85 WorldCat member libraries worldwide
Contributions à l'étude des opérateurs elliptiques et hypoelliptiques by Bernard Helffer ( Book )
7 editions published in 1977 in French and held by 76 WorldCat member libraries worldwide
Pseudo-Differential Operators Quantization and Signals by Hans G Feichtinger ( )
3 editions published in 2008 in English and held by 33 WorldCat member libraries worldwide
Quantitative analysis of metastability in reversible diffusion processes via a witten complex apparoach : the case with boudary by Bernard Helffer ( Book )
1 edition published in 2006 in English and held by 18 WorldCat member libraries worldwide
Semiclassical analysis for Schrödinger operators, Laplace integrals and transfer operators in large dimension : an introduction : cours de DEA by Bernard Helffer ( Book )
2 editions published in 1995 in English and held by 13 WorldCat member libraries worldwide
Analyse semi-classique pour l'équation de Harper by Bernard Helffer ( Book )
1 edition published in 1988 in French and held by 11 WorldCat member libraries worldwide
 
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Audience level: 0.73 (from 0.35 for Analyse se ... to 0.93 for Résonance ...)
Alternative Names
Helffer, B.
Helffer, B. 1949-
Helffer, B. (Bernard)
Helffer, Bernard
Languages
English (100)
French (66)
Covers