Berezin-toeplitz quantization and complex weyl quantization of the torus t${}^2$

Ophélie Rouby

Berezin-toeplitz quantization and complex weyl quantization of the torus t${}^2$

Mathematical Physics 2017-02-21 v1 Analysis of PDEs Functional Analysis math.MP Operator Algebras Symplectic Geometry

Authors: Ophélie Rouby

Abstract

In this paper, we give a correspondence between the Berezin-Toeplitz and the complex Weyl quantizations of the torus $\mathbb{T}^2$ . To achieve this, we use the correspondence between the Berezin-Toeplitz and the complex Weyl quantizations of the complex plane and a relation between the Berezin-Toeplitz quantization of a periodic symbol on the real phase space $\mathbb{R}^2$ and the Berezin-Toeplitz quantization of a symbol on the torus $\mathbb{T}^2$ .

Cite

@article{arxiv.1702.05978,
  title  = {Berezin-toeplitz quantization and complex weyl quantization of the torus t${}^2$},
  author = {Ophélie Rouby},
  journal= {arXiv preprint arXiv:1702.05978},
  year   = {2017}
}

Berezin-toeplitz quantization and complex weyl quantization of the torus t${}^2$

Abstract

Cite

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