Quantum Bianchi-VII problem, Mathieu functions and arithmetic

The geodesic problem on the compact threefolds with the Riemannian metric of Bianchi-VII0 type is studied in both classical and quantum cases. We show that the problem is integrable and describe the eigenfunctions of the corresponding Laplace-Beltrami operators explicitly in terms of the Mathieu fun...

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Bibliographic Details

Main Authors:	Alexander Veselov, Y Ye
Format:	Default Article
Published:	2023
Subjects:	Mathematical sciences Physical sciences Geodesic flows Classical and quantum integrability Bianchi classification Thurston's special geometries
Online Access:	https://hdl.handle.net/2134/25257895.v1
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