Quantization, Coherent States, and Complex Structures

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-SpacePropensity.- 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.