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Questions on various methods and aspects of quantization

4 votes

Physical meaning of the integral cohomology condition in Souriau-Kostant pre-quantization?

This procedure is called prequantization because it is the first step of an answer to the Dirac program of quantization consisting in representing symmetries in classical mechanics by unitary transformations …
Patrick I-Z's user avatar
  • 2,289
4 votes

What are the implications of torsion in H^2 for geometric quantization?

It is the group of periods of a closed 2-form $\omega$ which plays a role on the different quantizations. Every closed 2-form $\omega$ on a manifold $M$ (more generally on a diffeological space) is th …
Patrick I-Z's user avatar
  • 2,289