Quantization of Kaehler manifolds II
β Cahen M., Gutt S., Rawnsley J.
π Library
π English
β¦ LIBER β¦
π
Quantization of Kaehler manifolds I: geometric interpretation of Berezin's quantization
β Scribed by Rawnsley J., Cahen M., Gutt S.
- Year
- 1990
- Tongue
- English
- Leaves
- 10
- Series
- JGP 7
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract. We give a geometric interpretation of Berezin 's symbolic calculus on Kahler manifolds in the framework of geometric quantization. Berezin's covariant symbols are defined in terms of coherent states and we study a function 6 on the manifold which is the central object of the theory. When this function is constant Berezin's quantization rule coincides with the prescription of geometric quantization for the quantizable functions. It is defined on a larger class of functions. We show in the compact homogeneous case how to extend Berezin's procedure to a dense subspace of the algebra of smooth functions.
π SIMILAR VOLUMES
On twistor quantization of loop spaces a
β Sergeev A.G.
π Library
π
1995
π English
Geometric Quantization
β N.M.J. Woodhouse
π Library
π
1997
π Oxford University Press
π English
Geometric quantization
β N. M. J. Woodhouse
π Library
π
1997
π Clarendon Press; Oxford University Press
π English
The geometric approach to quantization was introduced by Konstant and Souriau more than 20 years ago. It has given valuable and lasting insights into the relationship between classical and quantum systems, and continues to be a popular research topic. The ideas have proved useful in pure mathematics
Geometric Quantization and Quantum Mecha
β Jedrzej Sniatycki
π Library
π
1980
π Springer
π English
Geometric Quantization and Quantum Mecha
β JΘ©drzej Εniatycki (auth.)
π Library
π
1980
π Springer-Verlag New York
π English
<p>This book contains a revised and expanded version of the lecture notes of two seminar series given during the academic year 1976/77 at the Department of Mathematics and Statistics of the University of Calgary, and in the summer of 1978 at the Institute of Theoretical Physics of the Technical Univ