In this lecture results are reviewed obtained by the author together with Martin Bordemann and Eckhard Meinrenken on the Berezin-Toeplitz quantization of compact Kaehler manifolds. Using global Toeplitz operators, approximation results for the quantum operators are shown. From them it follows that the quantum operators have the correct classical limit. A star product deformation of the Poisson algebra is constructed
peer reviewedCoherent states are quite well known, wide-spread and extremely useful tools. In this r...
Abstract: This article is devoted to the Toeplitz Operators [4] in the context of the geometric quan...
Abstract. This article is devoted to the quantization of the Lagrangian sub-manifold in the context ...
This talk reports on results on the deformation quantization (star products) and on approximative op...
For arbitrary compact quantizable Kähler manifolds it is shown how a natural formal deformation quan...
45 pages, footnote at page 3 and Remark 0.5 added; v.3 is a final update to agree with the published...
For arbitrary compact quantizable Kähler manifolds it is shown how a natural formal deformation quan...
In this lecture results on the Berezin-Toeplitz quantization of arbitrary compact quantizable Kähler...
This text provides a comprehensive introduction to Berezin–Toeplitz operators on compact Kähler mani...
For phase-space manifolds which are compact Kähler manifolds relations between the Berezin-Toeplitz ...
Rapporteurs: Louis Boutet de Monvel, Yves Colin de Verdière. Suffragants: Yvar Ekeland, André Voros,...
We study the Berezin-Toeplitz quantization on symplectic manifolds mak-ing use of the full off-diago...
For general compact Kähler manifolds it is shown that both Toeplitz quantization and geometric quant...
In this paper we try to formulate the Berezin quantization on projective Hilbert space P(H) and us...
We give a complete identification of the deformation quantization which was obtained from the Berezi...
peer reviewedCoherent states are quite well known, wide-spread and extremely useful tools. In this r...
Abstract: This article is devoted to the Toeplitz Operators [4] in the context of the geometric quan...
Abstract. This article is devoted to the quantization of the Lagrangian sub-manifold in the context ...
This talk reports on results on the deformation quantization (star products) and on approximative op...
For arbitrary compact quantizable Kähler manifolds it is shown how a natural formal deformation quan...
45 pages, footnote at page 3 and Remark 0.5 added; v.3 is a final update to agree with the published...
For arbitrary compact quantizable Kähler manifolds it is shown how a natural formal deformation quan...
In this lecture results on the Berezin-Toeplitz quantization of arbitrary compact quantizable Kähler...
This text provides a comprehensive introduction to Berezin–Toeplitz operators on compact Kähler mani...
For phase-space manifolds which are compact Kähler manifolds relations between the Berezin-Toeplitz ...
Rapporteurs: Louis Boutet de Monvel, Yves Colin de Verdière. Suffragants: Yvar Ekeland, André Voros,...
We study the Berezin-Toeplitz quantization on symplectic manifolds mak-ing use of the full off-diago...
For general compact Kähler manifolds it is shown that both Toeplitz quantization and geometric quant...
In this paper we try to formulate the Berezin quantization on projective Hilbert space P(H) and us...
We give a complete identification of the deformation quantization which was obtained from the Berezi...
peer reviewedCoherent states are quite well known, wide-spread and extremely useful tools. In this r...
Abstract: This article is devoted to the Toeplitz Operators [4] in the context of the geometric quan...
Abstract. This article is devoted to the quantization of the Lagrangian sub-manifold in the context ...