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Complex Approximations, Orthogonal Polynomials and Applications (CAOPA)
April 25, 2022 20:00–21:00, Moscow, online via Zoom at 17:00 GMT (=13:00 EDT=18:00 BST=19:00 CEST=20:00 Msk)
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Schrödinger operator with complex potential – absolutely continuous vs singular spectrum
R. V. Romanov
Saint Petersburg State University
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Abstract:
The structure of the essential spectrum of the Schrödinger and Dirac operators on the semiaxis is studied. It is shown that the essential spectrum is purely singular if the imaginary part of the potential is sign-definite and not summable. We also discuss the dynamical implications of this assertion.
Language: English
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