Quasibound states of an electron in a strong magnetic field
Teoretičeskaâ i matematičeskaâ fizika, Tome 13 (1972) no. 2, pp. 251-265

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Bound and quasibound energy levels of an electron in a strong magnetic field are investigated for a short-range impurity potential and an isotropic quadratic dispersion law. A formula applicable in all fields is obtained for a Born impurity potential. It is shown that there is at least one bound level at any Landau level $\mathcal E_{M0}$ (with angular momentum projection onto the direction of the magnetic field equal to $-M$, the remaining levels being quasibound for $M\geqslant1$).
@article{TMF_1972_13_2_a8,
     author = {A. P. Kochkin},
     title = {Quasibound states of an electron in a strong magnetic field},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {251--265},
     publisher = {mathdoc},
     volume = {13},
     number = {2},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1972_13_2_a8/}
}
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A. P. Kochkin. Quasibound states of an electron in a strong magnetic field. Teoretičeskaâ i matematičeskaâ fizika, Tome 13 (1972) no. 2, pp. 251-265. http://geodesic.mathdoc.fr/item/TMF_1972_13_2_a8/