Classical phase space singularities and quantization

Details Classical phase space singularities and quantization Classical phase space singularities and quantization

2006-10-20

arxiv.org/abs/math-ph/0610047v1

In: Quantum Theory and Symmetries. IV. V. Dobrev, ed., Heron Press, Sofia (2006)

Physics

Mathematical Physics

23 pages

Scientific paper

Simple classical mechanical systems and solution spaces of classical field
theories involve singularities. In certain situations these singularities can
be understood in terms of stratified Kaehler spaces. We give an overview of a
research program whose aim is to develop a holomorphic quantization procedure
on stratified Kaehler spaces.

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