Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-09-02
Physics
High Energy Physics
High Energy Physics - Theory
9 pages
Scientific paper
The 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 Schr\"odinger 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.
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