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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {G. M. Zhislin},
     title = {Spectral properties of {Hamiltonians} with a magnetic field at a fixed {pseudomoment.~II}},
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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/

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