On norm resolvent convergence of Schrödinger operators with \(\delta'\)-like potentials

We address the problem on the right definition of the Schroedinger operator with potential \(\delta'\), where \(\delta\) is the Dirac delta-function. Namely, we prove the uniform resolvent convergence of a family of Schroedinger operators with regularized short-range potentials \(\epsilon^{-2}V...

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Veröffentlicht in:	arXiv.org 2010-11
Hauptverfasser:	Golovaty, Yu D, Hryniv, R O
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary conditions Convergence Dirichlet problem Operators (mathematics)
Online-Zugang:	Volltext
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