A Dynamical Mechanism for the Selection of Physical States in `Geometric Quantization Schemes'

Abstract

Geometric quantization procedures go usually through an extension of the original theory (pre-quantization) and a subsequent reduction (selection of the physical states). In this context we describe a full geometrical mechanism which provides dynamically the desired reduction.

6 pages

References in corpus (3)

• Landau Level Ground--State Degeneracy, and Its Relevance for a General Quantization Procedure
• Dynamics as Shadow of Phase Space Geometry
• Adiabatic Motion of a Quantum Particle in a Two-Dimensional Magnetic Field