Quantization and Infinite-Dimensional Systems

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Bibliographic Details
Other Authors: Ali, S.T. (Editor), Antoine, J-P. (Editor), Lisiecki, W. (Editor), Mladenov, I.M. (Editor)
Format: eBook
Language:English
Published: New York, NY Springer US 1994, 1994
Edition:1st ed. 1994
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • I: Field Theory and Infinite Dimensional Systems
  • Two Approaches to Toeplitz Operators on Fock Space
  • Quantization by Membranes and Integral Representations of Wave Functions
  • Noncommutative Geometry and Second Quantization
  • Loop Variables in Quantum Gravity and Vassiliev Invariants
  • Geometric Quantization of String Theory Using Twistor Approach
  • Infinite-dimensional Supermanifolds of Solutions in Lagrangian Field Theories with Fermion Fields
  • Plücker Embedding of the Hilbert Space Grassmannian and Boson-Fermion Correspondence via Coherent States
  • II: Complex Structures, Symplectic Geometry and Poisson Structures
  • Supercoherent States and Geometric Quantization of a Super Kähler Supermanifold
  • Holomorphic Representations and Coherent States
  • On the Spectrum of the Geodesic Flow on Spheres
  • Symplectic Realizations of the Galilei-Carroll Group
  • Covariant and Contravariant Berezin Symbols of Bounded Operators
  • Stochastic Aspects of the Quantum Dynamics
  • Nonlinear Quantum Mechanics, the Separation Property, and a Stochastic Alternative to Certain Nonlinear Schrödinger Equations
  • Transitional Currents for Massive Spin One-Half Particles
  • Twisting Poincaré Al?ebras
  • On Poles of the Analytic Continuation of Integral Curves of a Family of Ordinary Differential Equations
  • A Covariant Approach to the Kustaanheimo-Stiefel Bundle in the Magnetic Monopole Theory
  • Participants
  • On Reproducing Kernels for Holomorphic Vector Bundles
  • Poisson Structures, Stability and Control
  • Affine Poisson Structures in Analytical Mechanics
  • III: Coherent States, Quantization and Representation Theory
  • Quantum Frames, Quantization and Dequantization
  • Group Contractions and Stratonovich-Weyl Kernels
  • From Quantum Mechanics to Classical Mechanics and Back, via Coherent States
  • Inönü-Wigner Contraction of Kinematical Group Representations
  • A Coherent State Associated with Shape-Invariant Potentials
  • Quantization, Curvature and Temperature: The de Sitter Universe
  • Phase Coherent Wavelets, Fourier Transform, Magnetic Resonance Imaging, and Synchronized Time-Domain Neural Networks
  • Riccati Equation over Torus and Semiclassical Quantization of Multiperiodic Motion
  • IV: Quantum Dynamics, Quantum Groups, and all that
  • Hamiltonian Dynamics of Massless Objects
  • Quantum Magnetic Top
  • Quantum Mechanics on Zm and q-deformed Heisenberg-Weyl Algebras