Quantization of a particle in a background Yang-Mills field

Abstract

Two classes of observables defined on the configuration space of a particle are quantized, and the effects of the Yang-Mills field are discussed in the context of geometric quantization.

11 pages, amstex file, removed a condition placed on the metric in the previous version

Cited by in corpus (4)

• Symplectic areas, quantization, and dynamics in electromagnetic fields
• On the geometry of the energy operator in quantum mechanics
• The geometry of real reducible polarizations in quantum mechanics
• Canonical Quantization of Constants of Motion