The complex Weyl calculus as a Stratonovich-Weyl correspondence for the real diamond group (Q1998645)
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scientific article; zbMATH DE number 7318469
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The complex Weyl calculus as a Stratonovich-Weyl correspondence for the real diamond group |
scientific article; zbMATH DE number 7318469 |
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The complex Weyl calculus as a Stratonovich-Weyl correspondence for the real diamond group (English)
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7 March 2021
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In this paper, the problem of constructing a Stratonovich-Weyl correspondence is revisited, by using the complex Weyl calculus on the Fock space. The author starts with recalling the relevant notions and results. Then, he uses the complex Weyl calculus on the Fock space to prove the main theorems. Closed formulas for the symbols of the representation operators are also obtained.
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complex Weyl calculus
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Stratonovich-Weyl corespondence
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Fock space
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Berezin quantization
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Heisenberg group
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diamond group
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representation operators
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