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" From geometry to quantum mechanics : "
Yoshiaki Maeda [and others], editors.
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BL
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| Record Number
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846849
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| Title & Author
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From geometry to quantum mechanics : : in honor of Hideki Omori /\ Yoshiaki Maeda [and others], editors.
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| Publication Statement
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Boston :: Birkhäuser,, ©2007.
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| Series Statement
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Progress in mathematics ;; v. 252
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| Page. NO
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1 online resource (xvii, 324 pages) :: illustrations
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| ISBN
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0817645128
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: 0817645306
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: 6610852065
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: 9780817645120
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: 9780817645304
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: 9786610852062
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| Bibliographies/Indexes
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Includes bibliographical references.
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| Contents
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Global Analysis and Infinite-Dimensional Lie Groups -- Aspects of Stochastic Global Analysis -- A Lie Group Structure for Automorphisms of a Contact Weyl Manifold -- Riemannian Geometry -- Projective Structures of a Curve in a Conformal Space -- Deformations of Surfaces Preserving Conformal or Similarity Invariants -- Global Structures of Compact Conformally Flat Semi-Symmetric Spaces of Dimension 3 and of Non-Constant Curvature -- Differential Geometry of Analytic Surfaces with Singularities -- Symplectic Geometry and Poisson Geometry -- The Integration Problem for Complex Lie Algebroids -- Reduction, Induction and Ricci Flat Symplectic Connections -- Local Lie Algebra Determines Base Manifold -- Lie Algebroids Associated with Deformed Schouten Bracket of 2-Vector Fields -- Parabolic Geometries Associated with Differential Equations of Finite Type -- Quantizations and Noncommutative Geometry -- Toward Geometric Quantum Theory -- Resonance Gyrons and Quantum Geometry -- A Secondary Invariant of Foliated Spaces and Type III? von Neumann Algebras -- The Geometry of Space-Time and Its Deformations from a Physical Perspective -- Geometric Objects in an Approach to Quantum Geometry.
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| Abstract
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Contains invited expository articles by well-known mathematicians in differential geometry and mathematical physics. This work focuses on trends in symplectic and Poisson geometry, global analysis, infinite-dimensional Lie group theory, quantizations and noncommutative geometry, as well as applications of PDEs and variational methods to geometry.
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Ōmori, Hideki,1938-
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Ōmori, Hideki,1938-
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Geometry, Differential.
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Mathematical physics.
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Quantum theory.
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Géométrie différentielle.
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Physique mathématique.
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Théorie quantique.
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Geometry, Differential.
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Mathematical physics.
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MATHEMATICS-- Geometry-- Differential.
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Quantum theory.
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| Dewey Classification
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516.3/6
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| LC Classification
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QA641.F76 2007eb
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| NLM classification
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31.81bcl
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| Added Entry
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Maeda, Yoshiaki,1948-
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Ōmori, Hideki,1938-
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