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

Vladimir Sergeevich Matveev

doi:10.22405/2226-8383-2020-21-2-275-289

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

Vladimir Sergeevich Matveev

https://doi.org/10.22405/2226-8383-2020-21-2-275-289

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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

About the Author

Vladimir Sergeevich Matveev

Friedrich-Schiller-Universit¨at Jena
Germany
candidate of physical and mathematical Sciences, Professor

Review

For citations:

Matveev V.S. Quantum integrability for the Beltrami–Laplace operators of projectively equivalent metrics of arbitrary signatures. Chebyshevskii Sbornik. 2020;21(2):275-289. https://doi.org/10.22405/2226-8383-2020-21-2-275-289

This work is licensed under a Creative Commons Attribution 4.0 License.

ISSN 2226-8383 (Print)

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Chebyshevskii Sbornik

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

Full Text:

Abstract

Keywords

About the Author

Review

For citations:

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