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A spectral identity for the multidimensional Schrödinger equation with periodic potential

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Abstract

The Schrödinger equation with periodic potential is considered in the two- and three-dimensional cases. It is established that the sum of the determinants of the effective masses of the particle is equal to its real mass to the power equal to the dimension.

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Authors
  1. S. V. Frolov
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Additional information

Physics Institute of the St Petersburg University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 91, No. 3, pp. 524–528, June, 1992.

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Frolov, S.V. A spectral identity for the multidimensional Schrödinger equation with periodic potential. Theor Math Phys 91, 692–695 (1992). https://doi.org/10.1007/BF01017347

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  • DOI: https://doi.org/10.1007/BF01017347

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