Remark on the spectrum structure of the two-dimensional Schr\"odinger operator with the periodic potential
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part IV, Tome 109 (1981), pp. 131-133
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In the remark it is shown that it is possible to omit arithmetical conditions on the period-lattice of the potential in the Schrödinger operator, which were assumed in the previous works of the second author.
@article{ZNSL_1981_109_a5,
author = {V. N. Popov and M. M. Skriganov},
title = {Remark on the spectrum structure of the two-dimensional {Schr\"odinger} operator with the periodic potential},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {131--133},
publisher = {mathdoc},
volume = {109},
year = {1981},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1981_109_a5/}
}
TY - JOUR AU - V. N. Popov AU - M. M. Skriganov TI - Remark on the spectrum structure of the two-dimensional Schr\"odinger operator with the periodic potential JO - Zapiski Nauchnykh Seminarov POMI PY - 1981 SP - 131 EP - 133 VL - 109 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_1981_109_a5/ LA - ru ID - ZNSL_1981_109_a5 ER -
%0 Journal Article %A V. N. Popov %A M. M. Skriganov %T Remark on the spectrum structure of the two-dimensional Schr\"odinger operator with the periodic potential %J Zapiski Nauchnykh Seminarov POMI %D 1981 %P 131-133 %V 109 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_1981_109_a5/ %G ru %F ZNSL_1981_109_a5
V. N. Popov; M. M. Skriganov. Remark on the spectrum structure of the two-dimensional Schr\"odinger operator with the periodic potential. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part IV, Tome 109 (1981), pp. 131-133. http://geodesic.mathdoc.fr/item/ZNSL_1981_109_a5/