Berezin-Toeplitz quantization and Berezin symbols for arbitrary compact Kähler manifolds


Schlichenmaier, Martin


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URL: https://ub-madoc.bib.uni-mannheim.de/1328
URN: urn:nbn:de:bsz:180-madoc-13288
Document Type: Working paper
Year of publication: 1999
The title of a journal, publication series: Mannheimer Manuskripte zu Risikotheorie, Portfolio Management und Versicherungswirtschaft
Volume: 238
Place of publication: Mannheim
Publication language: English
Institution: School of Business Informatics and Mathematics > Sonstige - Fakultät für Mathematik und Informatik
MADOC publication series: Veröffentlichungen der Fakultät für Mathematik und Informatik > Institut für Mathematik > Mannheimer Manuskripte
Subject: 510 Mathematics
Abstract: For phase-space manifolds which are compact Kähler manifolds relations between the Berezin-Toeplitz quantization and the quantization with the help of Berezin's coherent states and symbols are studied. First the results on the Berezin-Toeplitz quantization of arbitrary compact Kähler manifolds due to Bordemann, Meinrenken and Schlichenmaier are recalled. It is shown that the covariant symbol map is adjoint to the Toeplitz map. The Berezin transform for compact Kähler manifolds is discussed.
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Schlichenmaier, Martin (1999) Berezin-Toeplitz quantization and Berezin symbols for arbitrary compact Kähler manifolds. Open Access Mannheimer Manuskripte zu Risikotheorie, Portfolio Management und Versicherungswirtschaft Mannheim 238 [Working paper]
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