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On the deformation quantization, on a Kähler manifold, associated with a Berezin quantization

✍ Scribed by A. V. Karabegov

Book ID
110543285
Publisher
Springer US
Year
1996
Tongue
English
Weight
254 KB
Volume
30
Category
Article
ISSN
0016-2663

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Construction of self-adjoint Berezin–Toe
Construction of self-adjoint Berezin–Toeplitz operators on Kähler manifolds and a probabilistic representation of the associated semigroups
✍ Bernhard G. Bodmann 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 269 KB

We investigate a class of operators resulting from a quantization scheme attributed to Berezin. These so-called Berezin-Toeplitz operators are defined on a Hilbert space of square-integrable holomorphic sections in a line bundle over the classical phase space. As a first goal we develop self-adjoint