Coherent state transform for Landau levels on quasi-tori-Reference-Cited by-同舟云学术

Coherent state transform for Landau levels on quasi-tori

Published:2020-11-24 Issue:1 Volume:33 Page:271-282
ISSN:1435-5337
Container-title:Forum Mathematicum
language:en
Short-container-title:

Author:

Ziyat Mohammed¹

Affiliation:

1. Center of Mathematical Research and Applications of Rabat (CeReMAR), Laboratory of Mathematical Analysis and Applications , Department of Mathematics , P.O. Box 1014, Faculty of Sciences , Mohammed V University , Rabat , Morocco

Abstract

Abstract The spectrum of the Laplacian operator on the positive theta line bundle over the quasi-torus reduces to eigenvalues π ⁢ ℓ

{\pi\ell}

, ℓ = 0 , 1 , …

{\ell=0,1,\ldots{}}

, which are called Landau levels. This paper discusses the coherent state transform for each eigenspace associated with a Landau level. We construct a unitary transform valid for each eigenspace. A concrete form of the inverse formula for the proposed transform is also obtained.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/forum-2020-0198/pdf

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