Complex Weyl symbols of metaplectic operators: an elementary approach
Representation Theory
2023-06-23 v1
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.
Keywords
Cite
@article{arxiv.2306.12947,
title = {Complex Weyl symbols of metaplectic operators: an elementary approach},
author = {Benjamin Cahen},
journal= {arXiv preprint arXiv:2306.12947},
year = {2023}
}
Comments
20 pages