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談話会

タイトル	Linear canonical relations and their quantization
開催日時	2013年11月1日 16:45-17:45
主催者
講演者	Alan Weinstein氏　（University of California）
場所	14棟631Ａ-Ｂ
内容	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".
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