Title | Quantization, Coherent States, and Complex Structures [electronic resource] / edited by J.-P. Antoine, S. Twareque Ali, W. Lisiecki, I. M. Mladenov, A. Odzijewicz |
---|---|
Imprint | Boston, MA : Springer US : Imprint: Springer, 1995 |
Connect to | http://dx.doi.org/10.1007/978-1-4899-1060-8 |
Descript | X, 302 p. online resource |
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 Schrรถdinger 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 Poincarรฉ 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 Poincarรฉ-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