Logarithms and deformation quantization
نویسندگان
چکیده
منابع مشابه
Deformation Quantization
1. INTRODUCTION Quantum mechanics is often distinguished from classical mechanics by a statement to the effect that the observables in quantum mechanics, unlike those in classical mechanics, do not commute with one another. Yet classical mechanics is meant to give a description (with less precision) of the same physical world as is described by quantum mechanics. One mathematical transcription ...
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It is shown that a quantum groupoid (or a QUE algebroid, i.e., deformation of the universal enveloping algebra of a Lie algebroid) naturally gives rise to a Lie bialgebroid as a classical limit. The converse question, i.e., the quantization problem, is raised, and it is proved for all regular triangular Lie bialgebroids. For a Poisson manifold P , the existence of a star-product is shown to be ...
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ژورنال
عنوان ژورنال: Inventiones mathematicae
سال: 2016
ISSN: 0020-9910,1432-1297
DOI: 10.1007/s00222-016-0647-7