Quantization, Coherent States, and Complex Structures

1. Front Matter

   Pages i-ix

   PDF

2. Quantization, Field Theory and Representation Theory

   1. Front Matter

      Pages 1-1

      PDF

   2. On Quantum Mechanics in a Curved Spacetime with Absolute Time

      • Daniel Canarutto, Arkadiusz Jadczyk, Marco Modugno

      Pages 3-19

   3. Massless Spinning Particles on the Anti-De Sitter Spacetime

      • Stephan De Bièvre, Salah Mehdi

      Pages 21-25

   4. A Family of Nonlinear Schrödinger Equations: Linearizing Transformations and Resulting Structure

      • H.-D. Doebner, G. A. Goldin, P. Nattermann

      Pages 27-31

   5. Modular Structures in Geometric Quantization

      • Gérard G. Emch

      Pages 33-42

   6. Diffeomorphism Groups and Anyon Fields

      • Gerald A. Goldin, David H. Sharp

      Pages 43-54

   7. On a Full Quantization of the Torus

      • Mark J. Gotay

      Pages 55-62

   8. Differential Forms on the Skyrmion Bundle

      • Christian Gross

      Pages 63-71

   9. Explicitly Covariant Algebraic Representations for Transitional Currents of Spin-1/2 Particles

      • M. I. Krivoruchenko

      Pages 73-78

   10. The Quantum SU(2, 2)-Harmonic Oscillator

       • Wojciech Mulak

       Pages 79-85

   11. Geometro-Stochastic Quantization and Quantum Geometry

       • Eduard Prugovečki

       Pages 87-102

   12. Prequantization

       • D. J. Simms

       Pages 103-108

   13. Classical Yang-Mills and Dirac Fields in the Minkowski Space and in a Bag

       • Jȩdrzej Śniatycki

       Pages 109-118

   14. Symplectic Induction, Unitary Induction and BRST Theory (Summary)

       • G. M. Tuynman

       Pages 119-119

3. Coherent States, Complex and Poisson Structures

   1. Front Matter

      Pages 121-121

      PDF

   2. Spin Coherent States for the Poincaré Group

      • S. Twareque Ali, J.-P. Gazeau

      Pages 123-129

   3. Coherent States and Global Differential Geometry

      • Stefan Berceanu

      Pages 131-140

   4. Natural Transformations of Lagrangians into p-Forms on the Tangent Bundle

      • Jacek Dȩbecki

      Pages 141-146

   5. SL(2, ℝ)-Coherent States and Integrable Systems in Classical and Quantum Physics

      • Jean-Pierre Gazeau

      Pages 147-158

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 on these topics will now become an integral part of future workshops. In the more traditional areas, lectures were devoted to topics in quantization, field theory, group representations, coherent states, complex and Poisson structures, the Berry phase, graded contractions and some infinite-dimensional systems. Those of us who have taken part in the evolution of the workshops over the years, feel a good measure of satisfaction with the excellent quality of the papers presented, in particular the mathematical rigour and novelty. Each year a significant number of new results are presented and future directions of research are discussed. Their freshness and immediacy inevitably leads to intense discussions and an exchange of ideas in an informal and physically charming environment. The present workshop also had a higher attendance than its predecessors, with ap­ proximately 65 registered participants. As usual, there was a large number of graduate students and young researchers among them.

• algebra
• differential geometry
• dynamics
• field theory
• fields
• geometry
• mechanics
• molecule
• physics
• quantization
• quantum mechanics
• quantum physics
• quantum theory
• spin
• star

• Catholic University of Louvain, Louvain-la-Neuve, Belgium

  J.-P. Antoine

• Concordia University, Montréal, Canada

  S. Twareque Ali

• Warsaw University, Białystok, Poland

  W. Lisiecki, A. Odzijewicz

• Bulgarian Academy of Sciences, Sofia, Bulgaria

  I. M. Mladenov

Policies and ethics