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High Energy Physics - Theory
Title: The classical and quantum particle on a flag manifold
(Submitted on 24 Apr 2024)
Abstract: In the present paper we consider two related problems, i.e. the description of geodesics and the calculation of the spectrum of the Laplace-Beltrami operator on a flag manifold. We show that there exists a family of invariant metrics such that both problems can be solved simply and explicitly. In order to determine the spectrum of the Laplace-Beltrami operator, we construct natural, finite-dimensional approximations (of spin chain type) to the Hilbert space of functions on a flag manifold.
Submission history
From: Andrew Kuzovchikov [view email][v1] Wed, 24 Apr 2024 14:48:16 GMT (75kb,D)
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