Berezin-Toeplitz Quantization for Compact Kähler Manifolds. A Review of Results

Author

Schlichenmaier, Martin

Source

Advances in Mathematical Physics

Issue

Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-38, 38 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2010-04-07

Country of Publication

Egypt

No. of Pages

38

Main Subjects

Physics

Abstract EN

This article is a review on Berezin-Toeplitz operator and Berezin-Toeplitz deformation quantization for compact quantizable Kähler manifolds.

The basic objects, concepts, and results are given.

This concerns the correct semiclassical limit behaviour of the operator quantization, the unique Berezin-Toeplitz deformation quantization (star product), covariant and contravariant Berezin symbols, and Berezin transform.

Other related objects and constructions are also discussed.

American Psychological Association (APA)

Schlichenmaier, Martin. 2010. Berezin-Toeplitz Quantization for Compact Kähler Manifolds. A Review of Results. Advances in Mathematical Physics،Vol. 2010, no. 2010, pp.1-38.
https://search.emarefa.net/detail/BIM-508760

Modern Language Association (MLA)

Schlichenmaier, Martin. Berezin-Toeplitz Quantization for Compact Kähler Manifolds. A Review of Results. Advances in Mathematical Physics No. 2010 (2010), pp.1-38.
https://search.emarefa.net/detail/BIM-508760

American Medical Association (AMA)

Schlichenmaier, Martin. Berezin-Toeplitz Quantization for Compact Kähler Manifolds. A Review of Results. Advances in Mathematical Physics. 2010. Vol. 2010, no. 2010, pp.1-38.
https://search.emarefa.net/detail/BIM-508760

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-508760