Geodesic
Spectral properties of Hamiltonians with a magnetic field at a fixed pseudomoment.~II
Teoretičeskaâ i matematičeskaâ fizika, Tome 118 (1999) no. 1, pp. 15-39

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The discrete spectrum of multiparticle Hamiltonians $H_0$ of neutral systems in a homogeneous magnetic field is studied at a fixed pseudomoment. A general theorem is proved, which describes the discrete spectrum of $H_0$ under certain conditions in terms of constructed effective one-dimensional differential operators with a known spectrum structure. Based on this theorem, the conditions for a finite or infinite spectrum and the spectral asymptotic forms of the operator $H_0$ are obtained. The results can be applied to Hamiltonians of any atoms. 
@article{TMF_1999_118_1_a1,
     author = {G. M. Zhislin},
     title = {Spectral properties of {Hamiltonians} with a magnetic field at a fixed {pseudomoment.~II}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {15--39},
     publisher = {mathdoc},
     volume = {118},
     number = {1},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1999_118_1_a1/}
}
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G. M. Zhislin. Spectral properties of Hamiltonians with a magnetic field at a fixed pseudomoment.~II. Teoretičeskaâ i matematičeskaâ fizika, Tome 118 (1999) no. 1, pp. 15-39. http://geodesic.mathdoc.fr/item/TMF_1999_118_1_a1/