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Eigenvalue bounds for
Schrödinger operators with random complex potentials
Oleg Safronov |
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Vol. 16 (2023), No. 4, 1033–1060
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Abstract |
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We consider the Schrödinger operator perturbed by a random complex-valued potential. For this operator, we consider its eigenvalues situated in the unit disk. We obtain an estimate on the rate of accumulation of these eigenvalues to the positive half-line. |
Keywords
Schrödinger operators, complex potentials, eigenvalue
bounds
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Mathematical Subject Classification
Primary: 35P15, 35Q40, 47A75, 47B80, 47F05
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Milestones
Received: 22 February 2021
Revised: 10 August 2021
Accepted: 26 October 2021
Published: 15 June 2023
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Authors |
| Oleg Safronov | |
| Mathematics and Statistics The University of North Carolina at Charlotte Charlotte, NC United States |
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| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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