We consider the Schrodinger 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.
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CALTECH, Math 253 37, Pasadena, CA 91125 USA
Ludwig Maximilans Univ Munchen, Math Inst, Theresienstr 39, D-80333 Munich, GermanyCALTECH, Math 253 37, Pasadena, CA 91125 USA
Frank, Rupert L.
Simon, Barry
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CALTECH, Math 253 37, Pasadena, CA 91125 USACALTECH, Math 253 37, Pasadena, CA 91125 USA
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Fudan Univ, Shanghai Ctr Math Sci, Shanghai, Peoples R China
Univ Cambridge, Dept Pure Math & Math Stat, Cambridge, EnglandFudan Univ, Shanghai Ctr Math Sci, Shanghai, Peoples R China
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St Petersburg State Univ, Univ Skaya Naberezhnaya 7, St Petersburg 199034, RussiaSt Petersburg State Univ, Univ Skaya Naberezhnaya 7, St Petersburg 199034, Russia
Korotyaev, Evgeny
Safronov, Oleg
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UNCC, Dept Math & Stat, Charlotte, NC USASt Petersburg State Univ, Univ Skaya Naberezhnaya 7, St Petersburg 199034, Russia