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Chebyshevskii Sbornik, 2020, Volume 21, Issue 2, Pages 275–289
DOI: https://doi.org/10.22405/2226-8383-2018-21-2-275-289 (Mi cheb909) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Quantum integrability for the Beltrami–Laplace operators of projectively equivalent metrics of arbitrary signatures

V. S. Matveev

Friedrich-Schiller-Universität Jena (Jena, Germany)
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DOI: https://doi.org/10.22405/2226-8383-2018-21-2-275-289
Abstract: We generalize the result of [31] to all signatures.
Keywords: integrable systems, Killing tensors, quantum integrable systems, Carter quantisation, commutative operators, projectively equivalent metrics, geodesically equivalent metrics, separation of variables, normal forms, geometric theory of PDE, c-projectively equivalent metrics.
Received: 11.12.2019
Accepted: 11.03.2020
Document Type: Article
UDC: 514.7, 514.8
Language: English
Citation: V. S. Matveev, “Quantum integrability for the Beltrami–Laplace operators of projectively equivalent metrics of arbitrary signatures”, Chebyshevskii Sb., 21:2 (2020), 275–289
Citation in format AMSBIB
\Bibitem{Mat20}
\by V.~S.~Matveev
\paper Quantum integrability for the Beltrami--Laplace operators of projectively equivalent metrics of arbitrary signatures
\jour Chebyshevskii Sb.
\yr 2020
\vol 21
\issue 2
\pages 275--289
\mathnet{http://mi.mathnet.ru/cheb909}
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