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6 votes
3 answers
2k views

Ambidexterity and Quantization

Here the nlab says about Hopkins-Lurie's ambidexterity paper: "The discussion in the article is apparently motivated as part of what it takes to make precise the discussion of quantization in ...
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3 votes
1 answer
161 views

Reference of $\hbar$-differential operator from symplectic geometry perspective

I am reading Bates and Weinstein's book 'Lectures on the Geometry of Quantization'. In Chapter 6, they defined the $\hbar$-differential operator, and showed (Theorem 6.7) that the Lagrangian ...
Qijun Tan's user avatar
  • 587
6 votes
3 answers
265 views

graded generalization of the Moyal–Weyl product

Has anyone written about the graded generalization of the Moyal–Weyl product/star product, that is, where the original algebra is already graded? Is it just a matter of signs?
Jim Stasheff's user avatar
  • 3,880
7 votes
7 answers
2k views

Quantization of a classical system (e.g. the case of a billiard)

There have been already several questions asking for an introduction to quantum mechanics for a mathematician, but this one is slightly different, and more restrictive. I know (some) quantum ...
Joël's user avatar
  • 26.1k