|Speaker:||Alan Weinstein (Berkeley)|
|Title:||Linear canonical relations and their quantization|
|Date (JST):||Wed, Nov 06, 2013, 15:30 - 17:00|
A useful approach to the problem of passing from classical to quantum mechanics in a coherent way is to find a functorial quantization of linear canonical relations between symplectic vector spaces.
A standard quantization of such relations leads to unbounded operators which cannot always be composed, reflecting some deviation from transversality in the composition of the relations themselves.
In this talk, I will describe possible mathematical settings on the classical and quantum sides, give examples, and describe some attempts to resolve the problems associated with "bad compositions".