Geodesic
Properties of the Schrödinger Operator Spectrum in a Magnetic Field
Teoretičeskaâ i matematičeskaâ fizika, Tome 130 (2002) no. 2, pp. 267-274 
M. B. Gubaidullin. Properties of the Schrödinger Operator Spectrum in a Magnetic Field. Teoretičeskaâ i matematičeskaâ fizika, Tome 130 (2002) no. 2, pp. 267-274. http://geodesic.mathdoc.fr/item/TMF_2002_130_2_a3/
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     author = {M. B. Gubaidullin},
     title = {Properties of the {Schr\"odinger} {Operator} {Spectrum} in {a~Magnetic} {Field}},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The properties of the spectrum of the Schrödinger operator with magnetic and electric potentials are investigated. We prove that the operator has no positive eigenvalues and its spectrum is absolutely continuous on the positive semiaxis.

[1] M. B. Gubaidullin, Kh. Kh. Murtazin, TMF, 126:3 (2001), 443 | DOI | MR | Zbl

[2] Kh. Kh. Murtazin, V. A. Sadovnichii, Spektralnyi analiz mnogochastichnogo operatora Shredingera, Izd-vo MGU, M., 1988

[3] Kh. Tsikon, R. Freze, V. Kirsh, B. Saimon, Operatory Shredingera s prilozheniyami v kvantovoi mekhanike i globalnoi geometrii, Mir, M., 1990 | MR