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Complex Weyl symbols of metaplectic operators: An elementary approach
Cahen, Benjamin
2023
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e-ISSN
2464-8728
Abstract
We give explicit formulas for the Berezin symbols and the complex Weyl symbols of the metaplectic representation operators by using the holomorphic representations of the Jacobi group. Then we recover some known formulas for the symbols of the metaplectic operators in the classical Weyl calculus, in particular for the classical Weyl symbol of the exponential of an operator whose Weyl symbol is a quadratic form.
Source
Benjamin Cahen, "Complex Weyl symbols of metaplectic operators: An elementary approach" in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.55 (2023)", EUT Edizioni Università di Trieste, Trieste, 2023, pp. 89-115
Languages
en
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