Classical Theta Functions and Quantum Tori

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dc.creatorWeinstein, Alan
dc.date1993-09-02
dc.date.accessioned2026-07-07T09:14:07Z
dc.date.available2026-07-07T09:14:07Z
dc.descriptionThe Schwartz kernel of the multiplication operation on a quantum torus is shown to be the distributional boundary value of a classical multivariate theta function. The kernel satisfies a Schrödinger equation in which the role of time is played by the deformation parameter $\hbar$ and the role of the hamiltonian by a Poisson structure. At least in some special cases, the kernel can be written as a sum of products of single-variable theta functions.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/hep-th/9309006
dc.identifierhttp://arxiv.org/abs/hep-th/9309006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152558
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleClassical Theta Functions and Quantum Tori
dc.typetext

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