Essential self-adjointness of the~Schr\"odinger operator in a~magnetic field
Teoretičeskaâ i matematičeskaâ fizika, Tome 166 (2011) no. 2, pp. 266-271
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We consider the multidimensional Schrödinger operator in an electromagnetic field. Under certain Stummel-type conditions imposed on the magnetic and electric potentials, we prove the essential self-adjointness of the magnetic Schrödinger operator.
Keywords:
magnetic Schrödinger operator, quantum mechanics, essential self-adjointness, electromagnetic potential.
@article{TMF_2011_166_2_a5,
author = {A. R. Aliev and E. Kh. Eivazov},
title = {Essential self-adjointness of {the~Schr\"odinger} operator in a~magnetic field},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {266--271},
publisher = {mathdoc},
volume = {166},
number = {2},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2011_166_2_a5/}
}
TY - JOUR AU - A. R. Aliev AU - E. Kh. Eivazov TI - Essential self-adjointness of the~Schr\"odinger operator in a~magnetic field JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2011 SP - 266 EP - 271 VL - 166 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2011_166_2_a5/ LA - ru ID - TMF_2011_166_2_a5 ER -
A. R. Aliev; E. Kh. Eivazov. Essential self-adjointness of the~Schr\"odinger operator in a~magnetic field. Teoretičeskaâ i matematičeskaâ fizika, Tome 166 (2011) no. 2, pp. 266-271. http://geodesic.mathdoc.fr/item/TMF_2011_166_2_a5/