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On Some Spectral Properties of the Energy Operator for an Infinite System in a Magnetic Field

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Abstract

For systems in a magnetic field, we investigate the form sum of an infinite-dimensional energy operator perturbed by a potential. We also investigate changes in the spectrum of the energy operator in the case of its perturbation by a potential.

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  1. Kherson University, Kherson

    V. G. Samoilenko

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  1. V. G. Samoilenko
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Samoilenko, V.G. On Some Spectral Properties of the Energy Operator for an Infinite System in a Magnetic Field. Ukrainian Mathematical Journal 56, 351–356 (2004). https://doi.org/10.1023/B:UKMA.0000036109.75718.19

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  • DOI: https://doi.org/10.1023/B:UKMA.0000036109.75718.19

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