Quantization, Coherent States, and Complex Structures

Quantization, Coherent States, and Complex Structures edited by J-P Antoine, S.T. Ali, W. Lisiecki, I.M. Mladenov, Anatol Odzijewicz.

The XIIIth Bialowieza Summer Workshop was held from July 9 to 15, 1994. While still within the general framework of Differential Geometric Methods in Physics, the XnIth Workshop was expanded in scope to include quantum groups, q-deformations and non-commutative geometry. It is expected that lectures...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Antoine, J-P (Editor), Ali, S.T (Editor), Lisiecki, W. (Editor), Mladenov, I.M (Editor), Odzijewicz, Anatol (Editor)
Format: eBook
Language:English
Published: New York, NY : Springer US : Imprint: Springer, 1995.
Edition:1st ed. 1995.
Series:Springer eBook Collection.
Subjects:
Applied mathematics.
Engineering mathematics.
Mathematical physics.
Physics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • I: Quantization, Field Theory and Representation Theory
  • On Quantum Mechanics in a Curved Spacetime with Absolute Time
  • Massless Spinning Particles on the Anti-de Sitter Space-Time
  • A Family of Nonlinear Schrödinger Equations: Linearizing Transformations and Resulting Structure
  • Modular Structures in Geometric Quantization
  • Diffeomorphism Groups and Anyon Fields
  • On a Full Quantization of the Torus
  • Differential Forms on the Skyrmion Bundle
  • Explicitly Covariant Algebraic Representations for Transitional Currents of Spin-1/2 Particles
  • The Quantum SU(2, 2)-Harmonic Oscillator
  • Geometro-Stochastic Quantization and Quantum Geometry
  • Prequantization
  • Classical Yang-Mills and Dirac Fields in the Minkowski Space and in a Bag
  • Symplectic Induction, Unitary Induction and BRST Theory (Summary)
  • II: Coherent States, Complex and Poisson Structures
  • Spin Coherent States for the Poincaré group
  • Coherent States and Global Differential Geometry
  • Natural Transformations of Lagrangians into p-forms on the Tangent Bundle
  • SL(2, ?)-Coherent States and Integrable Systems in Classical and Quantum Physics
  • Symplectic and Lagrangian Realization of Poisson Manifolds
  • From the Poincaré-Cartan Form to a Gerstenhaber Algebra of Poisson Brackets in Field Theory
  • Geometric Coherent States, Membranes, and Star Products
  • Integral Representation of Eigenfunctions and Coherent States for the Zeeman Effect
  • III: Q-Deformations and Quantum Groups, Noncommutative Geometry
  • Quantum Coherent States and the Method of Orbits
  • On the Deformation of Commutation Relations
  • The q-deformed Quantum Mechanics in the Coherent States Map Approach
  • Quantization by Quadratic Polynomials in Creation and Annihilation Operators
  • On Dirac Type Brackets
  • Quantum Trigonometry and Phase-Space Propensity
  • Noncommutative Space-Time Implied by Spin
  • IV: Miscellaneous Problems of Quantum Dynamics
  • Spectrum of the Dirac Operator on the SU(2) Manifold as Energy Spectrum for the Polyaniline Macromolecule
  • On Geometric Methods in the Description of Quantum Fluids
  • Galactic Dynamics in the Siegel Half-Plane
  • Graded Contractions of so(4, 2)
  • The Berry Phase and the Geometry of Coset Spaces
  • Participants.

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