Quantization and Infinite-Dimensional Systems
Published on 9. March 2013
300 pages
978-1-4615-2564-6 (ISBN)
Description
As all participants know by now, the Bialowieza Summer Workshop has acquired a life of its own. The charming venue of the meetings, the informal atmosphere, the enthusiasm of the participants and the intensity of the scientific interaction have all conspired to make these meetings wonderful learning experiences. The XIIth Workshop (held from July 1 - 7, 1993) was once again a topical meeting within the general area of Differential Geometric Methods in Physics, focusing specifically on Quantization and Infinite-dimensional Systems. Altogether, about fifty participants attended the workshop. As before, the aim of the workshop was to have a small number of in-depth lectures on the main theme and a somewhat larger number of short presentations on related areas, while leaving enough free time for private discussions and exchange of ideas. Topics treated in the workshop included field theory, geometric quantization and symplectic geometry, coherent states methods, holomorphic representation theory, Poisson structures, non-commutative geometry, supersymmetry and quantum groups. The editors have the pleasant task of first thanking all the local organizers, in particular Dr. K. Gilewicz, for their painstaking efforts in ensuring the smooth running of the meeting and for organizing a delightful array of social events. Secondly, they would like to record their indebtedness to all the people who have contributed to this volume and to the redoubtable Ms. Cindy Parkinson without whose patient typesetting and editing skills the volume could hardly have seen the light of the day.
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Additional editions
S.T. Ali | J-P Antoine | W. Lisiecki
Quantization and Infinite-Dimensional Systems
Book
01/1995
1st Edition
Kluwer Academic / Plenum Publishers
€85.55
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Content
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.- 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.- HamiltonianDynamics of Massless Objects.- Quantum Magnetic Top.- Quantum Mechanics on Zm and q-deformed Heisenberg-Weyl Algebras.- 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.
