Strong Coupling Asymptotics for Schrödinger Operators with an Interaction Supported by an Open Arc in three Dimensions
نویسندگان
چکیده
منابع مشابه
Strong coupling asymptotics for Schrödinger operators with an interaction supported by an open arc in three dimensions
We consider Schrödinger operators with a strongly attractive singular interaction supported by a finite curve Γ of lenghth L in R. We show that if Γ is C-smooth and has regular endpoints, the j-th eigenvalue of such an operator has the asymptotic expansion λj(Hα,Γ) = ξα+λj(S)+O(e) as the coupling parameter α → ∞, where ξα = −4 e2(−2πα+ψ(1)) and λj(S) is the j-th eigenvalue of the Schrödinger op...
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ژورنال
عنوان ژورنال: Reports on Mathematical Physics
سال: 2016
ISSN: 0034-4877
DOI: 10.1016/s0034-4877(16)00005-7