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On the number of eigenvalues of Schrödinger operators with complex potentials
Author(s) -
Frank Rupert L.,
Laptev Ari,
Safronov Oleg
Publication year - 2016
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/jdw039
Subject(s) - eigenvalues and eigenvectors , infinity , schrödinger's cat , mathematics , exponential growth , space (punctuation) , mathematical physics , pure mathematics , mathematical analysis , physics , quantum mechanics , computer science , operating system
We study the eigenvalues of Schrödinger operators with complex potentials in odd space dimensions. We obtain bounds on the total number of eigenvalues in the case where V decays exponentially at infinity.
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