科研之友
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摘要
We show that a Schrodinger operator A(delta,alpha) with a delta-interaction of strength alpha supported on a bounded or unbounded C-2-hypersurface Sigma subset of R-d, d >= 2, can be approximated in the norm resolvent sense by a family of Hamiltonians with suitably scaled regular potentials. The differential operator A(delta,alpha) with a singular interaction is regarded as a self-adjoint realization of the formal differential expression - Delta - alpha delta(Sigma), where alpha : Sigma -> R is an arbitrary bounded measurable function. We discuss also some spectral consequences of this approximation result.
- 出版日期2017-6
