The Berezin calculus
نویسندگان
چکیده
منابع مشابه
Grassmann-Berezin Calculus and Theorems of the Matrix-Tree Type
We prove two generalizations of the matrix-tree theorem. The first one, a result essentially due to Moon for which we provide a new proof, extends the “all minors” matrix-tree theorem to the “massive” case where no condition on row or column sums is imposed. The second generalization, which is new, extends the recently discovered Pfaffian-tree theorem of Masbaum and Vaintrob into a “Hyperpfaffi...
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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...
متن کاملSergey Berezin
My primary research interests are in the field of formal methods in computer-aided verification (or Formal Verification for short). This is a relatively young field in computer science which concerns with finding errors in hardware and computer programs, and proving correctness of such designs (absence of certain types of errors). Formal verification is often used in proving correctness of the ...
متن کاملBerezin Quantization of the Schrödinger Algebra
We examine the Schrödinger algebra in the framework of Berezin quantization. First, the Heisenberg-Weyl and sl(2) algebras are studied. Then the Berezin representation of the Schrödinger algebra is computed. In fact, the sl(2) piece of the Schrödinger algebra can be decoupled from the Heisenberg component. This is accomplished using a special realization of the sl(2) component that is built fro...
متن کامل1 Introduction Berezin-Töplitz Quantization
The general idea of quantization is to find a way to pass from the classical setting to the quantum one. In the classical situation, we have a symplectic manifold (M,ω) standing for the space of “states” of some physical system. The topological data of the manifold is contained in the structure of the function algebra C(M). The smooth structure on M gives rise to a distinguished subalgebra C∞ 0...
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ژورنال
عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences
سال: 1999
ISSN: 0034-5318
DOI: 10.2977/prims/1195143948