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JOURNALS // Chebyshevskii Sbornik // Archive

Chebyshevskii Sb., 2020 Volume 21, Issue 2, Pages 275–289 (Mi cheb909)

This article is cited 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)

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.

UDC: 514.7, 514.8

Received: 11.12.2019
Accepted: 11.03.2020

Language: English

DOI: 10.22405/2226-8383-2018-21-2-275-289



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