Spectral properties of Hamiltonians with a magnetic field at a fixed pseudomomentum. III
Teoretičeskaâ i matematičeskaâ fizika, Tome 120 (1999) no. 2, pp. 291-308 Cet article a éte moissonné depuis la source Math-Net.Ru

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The general results (see previous Part II) on the structure of the discrete spectra of energy operators of neutral systems in a homogeneous magnetic field at a fixed pseudomomentum are proved to be applicable to Hamiltonians of arbitrary atoms. Asymptotic expressions for the discrete spectra of Hamiltonians in the presence of a homogeneous magnetic field are found for arbitrary atoms. This paper completes the investigation of the spectral properties of Hamiltonians of neutral systems in a homogeneous magnetic field at a fixed pseudomomentum. The essential and discrete parts of the spectrum for such systems were found previously; however, whether the theorems in Part II were valid for actual $n$-particle systems remained an open question for the case $n>3$.
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     title = {Spectral properties of {Hamiltonians} with a magnetic field at a fixed {pseudomomentum.~III}},
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G. M. Zhislin. Spectral properties of Hamiltonians with a magnetic field at a fixed pseudomomentum. III. Teoretičeskaâ i matematičeskaâ fizika, Tome 120 (1999) no. 2, pp. 291-308. http://geodesic.mathdoc.fr/item/TMF_1999_120_2_a8/

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