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Modern Group Theoretical Methods in Physics : Proceedings of the Conference in Honour of Guy Rideau

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概要 This book contains the proceedings of a meeting that brought together friends and colleagues of Guy Rideau at the Université Denis Diderot (Paris, France) in January 1995. It contains original results... as well as review papers covering important domains of mathematical physics, such as modern statistical mechanics, field theory, and quantum groups. The emphasis is on geometrical approaches. Several papers are devoted to the study of symmetry groups, including applications to nonlinear differential equations, and deformation of structures, in particular deformation-quantization and quantum groups. The richness of the field of mathematical physics is demonstrated with topics ranging from pure mathematics to up-to-date applications such as imaging and neuronal models. Audience: Researchers in mathematical physics.続きを見る
目次 The Problem of Invariants for Lie-Bäcklund Groups
Galilean Coherent States and Wavelets
On the Use of Quantum Algebras in Rotation-Vibration Spectroscopy
Invariant Differential Calculus on a Deformation of the Weyl-Heisenberg Algebra
Noncompact Topological Quantum Groups
Symmetric Symplectic Manifolds and Deformation Quantization
The Conformal Invariance of the Klein-Gordon Equation in 1+1 Dimension
Compact Topological Quantum Groups
Groupes de Transformations des Variétés Statistiques
Non-Frustrated Signed Graphs
De l'Ubiquité de la Condition KMS
A Model for QCD in Three Dimensions
Poisson Path Integral Representation of Green Functions for Certain Field Theories
Diffeomorphism Group Representations and Nonlinear Quantum Theories
Conditional Symmetries for 1st order Systems of PDES in the Context of the Clairin Method
Quasistationary Approximation and Gauge Invariance in Classical Electrodynamics
Graded Poisson Brackets and Field Theory
The Basic Lemma in the Theory of Formal Groups
Spectra and Generalized Eigenfunctions of the One- and Two-Mode Squeezing Operators in Quantum Optics
A Higgs-free Model for Fundamental Interactions
Coupled Hodgkin Huxley Neurons with Stochastic Synaptic Inputs
Initial Data for Non-Linear Evolution Equations and Differentiable Vectors of Group Representations
Star Products: Their Ubiquity and Unicity
Finite Braid Groups for the SU(2) Knizhnik Zamolodchikov Equation
Continuous Symmetries of Differential-Difference Equations
Processus Limites et Irréversibilité en Mécanique Statistique hors d'Equilibre
Allocution de Clôture.
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登録日 2020.06.27
更新日 2020.06.28