Geodesic
A spectral identity for the multidimensional Schrödinger equation with periodic potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 91 (1992) no. 3, pp. 524-528 
S. V. Frolov. A spectral identity for the multidimensional Schrödinger equation with periodic potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 91 (1992) no. 3, pp. 524-528. http://geodesic.mathdoc.fr/item/TMF_1992_91_3_a15/
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     author = {S. V. Frolov},
     title = {A~spectral identity for the multidimensional {Schr\"odinger} equation with periodic potential},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1992_91_3_a15/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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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