Konstantin Pankrashkin

activity

20122025

most citedStrong coupling asymptotics for Schrödinger operators with an interaction supported by an open arc in three dimensions

29 citations · 58 across the 3 of their papers we have counts for

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2 papers · 1 filter

math-ph2015★ 29 cited

Strong coupling asymptotics for Schrödinger operators with an interaction supported by an open arc in three dimensions

Pavel Exner, Sylwia Kondej

We consider Schrödinger operators with a strongly attractive singular interaction supported by a finite curve $Γ$ of lenghth $L$ in $R^{3}$ . We show that if $Γ$ is $C^{4}$ -smooth and…

math-ph2012★ 29 cited

Strong coupling asymptotics for a singular Schroedinger operator with an interaction supported by an open arc

Pavel Exner, Konstantin Pankrashkin

We consider a singular Schrödinger operator in $L^{2} (R^{2})$ written formally as $- Δ - β δ (x - γ)$ where $γ$ is a $C^{4}$ smooth open arc in $R^{2}$ of length $L$ with regul…