Integral invariants and complex eigenvalue bounds
نویسندگان
چکیده
منابع مشابه
Eigenvalue Bounds for Schrödinger Operators with Complex Potentials
We show that the absolute values of non-positive eigenvalues of Schrödinger operators with complex potentials can be bounded in terms of Lp-norms of the potential. This extends an inequality of Abramov, Aslanyan, and Davies to higher dimensions and proves a conjecture by Laptev and Safronov. Our main ingredient are the uniform Sobolev inequalities of Kenig, Ruiz, and Sogge. Introduction and mai...
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 1988
ISSN: 0893-9659
DOI: 10.1016/0893-9659(88)90075-4