Generalized eigenvalue-counting estimates for some random acoustic operators
نویسندگان
چکیده
منابع مشابه
Eigenvalue Estimates for Random Schrödinger Operators
where γ ≥ 0 for d ≥ 3, γ > 0 for d = 2 and γ ≥ 1/2 for d = 1. The estimate (1.1) is called the classical Lieb-Thirring inequality. One needs to remark, that although for any V ∈ L the eigenvalue sum ∑ j |λj| converges for both V and −V , it follows from our results that converse need not be true. The sum ∑ j |λj| can converge even for potentials that are not functions of the class L . In the pr...
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ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 2011
ISSN: 2156-2261
DOI: 10.1215/21562261-1214402