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Properties of the Schrödinger Operator Spectrum in a Magnetic Field

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Abstract

The properties of the spectrum of the Schrödinger operator with magnetic and electric potentials are investigated. We prove that the operator has no positive eigenvalues and its spectrum is absolutely continuous on the positive semiaxis.

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REFERENCES

  1. M. B. Gubaidullin and Kh. Kh. Murtazin, Theor. Math. Phys., 126, 367 (2001).

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  1. Bashkir State University, Ufa, Russia

    M. B. Gubaidullin

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  1. M. B. Gubaidullin
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Gubaidullin, M.B. Properties of the Schrödinger Operator Spectrum in a Magnetic Field. Theoretical and Mathematical Physics 130, 227–233 (2002). https://doi.org/10.1023/A:1014239432387

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  • DOI: https://doi.org/10.1023/A:1014239432387

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