Berezin-Toeplitz Operators, a Semi-Classical Approach
نویسندگان
چکیده
منابع مشابه
A Relation of Berezin-toeplitz Operators to Schrr Odinger Operators and the Probabilistic Representation of Berezin-toeplitz Semigroups
A class of functions is speciied which give rise to semibounded quadratic forms on weighted Bergman spaces and thus can be interpreted as symbols of self-adjoint Berezin-Toeplitz operators. A similar class admits a probabilistic expression of the sesqui-analytic integral kernel for the associated semigroups. Both results are the consequence of a relation of Berezin-Toeplitz operators to Schrr o...
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I consider the problem of composing Berezin-Toeplitz operators on the Hilbert space of Gaussian square-integrable entire functions on complex n-space, C n. For several interesting algebras of functions on C n , we have T'T = T ' for all '; in the algebra, where T' is the Berezin-Toeplitz operator associated with ' and ' is a \twisted" associative product on the algebra of functions. On the othe...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2003
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-003-0882-9