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- W3110367025 abstract "Abstract The spectrum of the Laplacian operator on the positive theta line bundle over the quasi-torus reduces to eigenvalues <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:mi>π</m:mi> <m:mo></m:mo> <m:mi mathvariant=normal>ℓ</m:mi> </m:mrow> </m:math> {piell} , <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:mi mathvariant=normal>ℓ</m:mi> <m:mo>=</m:mo> <m:mrow> <m:mn>0</m:mn> <m:mo>,</m:mo> <m:mn>1</m:mn> <m:mo>,</m:mo> <m:mi mathvariant=normal>…</m:mi> </m:mrow> </m:mrow> </m:math> {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." @default.
- W3110367025 created "2020-12-07" @default.
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- W3110367025 date "2020-11-24" @default.
- W3110367025 modified "2023-10-16" @default.
- W3110367025 title "Coherent state transform for Landau levels on quasi-tori" @default.
- W3110367025 cites W2006358226 @default.
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- W3110367025 doi "https://doi.org/10.1515/forum-2020-0198" @default.
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