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Integrals of motion in quantum mechanics

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Abstract

It is shown within the framework of the local approach that the dimensionality of the commutative subalgebras of observables, leading to a separation of variables, is equal to the number of independent variables. A number of questions relating to the degeneracy of the spectrum are also considered.

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Literature cited

  1. J. von Neumann, Mathematical Foundations of Quantum Mechanics, Princeton University Press, Princeton (1955).

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  2. L. D. Landau and E. M. Lifshitz, Quantum Mechanics Nonrelativistic Theory, Pergamon Press, Oxford (1965).

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  3. V. G. Bagrov, V. N. Shapovalov, and A. G. Meshkov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 11, 66 (1973).

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Authors and Affiliations

  1. S. M. Kirov Polytechnic Institute, Tomsk

    A. G. Meshkov & V. N. Shapovalov

  2. Kalmuck State University, USSR

    A. G. Meshkov & V. N. Shapovalov

Authors
  1. A. G. Meshkov
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  2. V. N. Shapovalov
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 13–17, November, 1976.

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Meshkov, A.G., Shapovalov, V.N. Integrals of motion in quantum mechanics. Soviet Physics Journal 19, 1396–1399 (1976). https://doi.org/10.1007/BF00890780

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  • DOI: https://doi.org/10.1007/BF00890780

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