XXVIII Workshop on Geometrical Methods in Physics

Format:

• Book
• Conference/Event

Author/Creator:

• Kielanowski, Piotr, Author.

Contributor:

• Odzijewicz, Anatol, Contributor.
• Twareque Ali, S, Contributor.

Conference Name:

• Workshop on Geometrical Methods in Physics (28th : 2009 : Białowieża, Poland)

Series:

• AIP conference proceedings ; Volume 1191.
• AIP conference proceedings ; Volume 1191

Language:

English

Subjects (All):

• Geometric quantization--Congresses.

Physical Description:

1 online resource (xi, 196 pages) : illustrations.

Other Title:

Xxviii Workshop On Geometrical Methods In Physics, Volume 1191

Place of Publication:

[Place of publication not identified] A I P Press Imprint 2009

Language Note:

English

Summary:

The conference was devoted to a wide range of mathematical problems related to description of quantum and/or classical physical systems. From the point of view of physics the main attention was paid to such topics as quantization of classical systems, path integrals, rigid bodies and graded algebras. Mathematical aspects of these topics occupy the following branches: Poisson and symplectic geometry, Lie algebras, C*-algebras, spectral theory, non-commutative geometry, Riemannian spaces, differential equations, cryptography and some others.

Contents:

• Preface
• Participants
• Group Photograph
• On Extensions of the Legendre Transform
• A Survey on Weyl Calculus for Representations of Nilpotent Lie Groups
• The Jacobi Group and the Squeezed States
• -Some Comments
• Non-Formal Deformation Quantization and Symmetric Spaces
• Heat Equations and Sigma Functions
• Global Anomaly and Stability of Fold Product of Complex Two-Cycles
• Path Space Forms and Surface Holonomy
• Rigid Body Systems of Hess-Appel'rot Type and Partial Reductions
• Relativistic Equations for Spin Particles: What can We Learn from Noncommutativity?
• The Poisson Equations in the Nonholonomic Suslov Problem: Integrability, Meromorphic and Hypergeometric Solutions
• Some Integrable Systems on the Banach Lie-Poisson Space iR Åμ 1res
• &phis;(Ric)-Vector Fields on Conformally Flat Spaces
• An Algebraic Method of Factorization of Ordinary Differential Operators
• Discretization of Tori of Exceptional Compact Simple Lie Groups
• Quantum Ball
• A Poisson Structure in White-Noise Analysis
• On the Analyticity of the Bergman Transform
• On the Whewell Parameterization of the Euler Elastica
• Graded Commutative Algebras: Examples, Classification, Open Problems
• Quasicrystal Models in Cryptography
• Invariant Variational Problems and Cartan Connections on Gauge-Natural Bundles
• Spectra of Photon Down Conversion
• Geometry and Dynamics of the Pentagram Map
• Group Transformations with Discrete Parameter and Invariant Schrodinger Equation
• Examples of Star Exponentials
• Author Index.

Notes:

• Bibliographic Level Mode of Issuance: Monograph
• Includes bibliographical references and index.

ISBN:

0-7354-0728-2