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Teoreticheskaya i Matematicheskaya Fizika, 1992, Volume 91, Number 3, Pages 524–528 (Mi tmf5650)  
A spectral identity for the multidimensional Schrödinger equation with periodic potential

S. V. Frolov

V. A. Fock Institute of Physics, Saint-Petersburg State University
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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.
Received: 21.10.1991
English version:
Theoretical and Mathematical Physics, 1992, Volume 91, Issue 3, Pages 692–695
DOI: https://doi.org/10.1007/BF01017347
Bibliographic databases:
Language: Russian
Citation: S. V. Frolov, “A spectral identity for the multidimensional Schrödinger equation with periodic potential”, TMF, 91:3 (1992), 524–528; Theoret. and Math. Phys., 91:3 (1992), 692–695
Citation in format AMSBIB
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\by S.~V.~Frolov
\paper A~spectral identity for the multidimensional Schr\"odinger equation with periodic potential
\jour TMF
\yr 1992
\vol 91
\issue 3
\pages 524--528
\mathnet{http://mi.mathnet.ru/tmf5650}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1187028}
\transl
\jour Theoret. and Math. Phys.
\yr 1992
\vol 91
\issue 3
\pages 692--695
\crossref{https://doi.org/10.1007/BF01017347}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992KL55200016}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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