S. Kondej

activity

20012005

δ

interaction supported by a curved surface

35 citations · 37 across the 3 of their papers we have counts for

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3 papers · 1 filter

math-ph2003★ 2 cited

Leaky quantum wire and dots: a resonance model

Pavel Exner, Sylwia Kondej

We discuss a model of a leaky quantum wire and a family of quantum dots described by Laplacian in $L^{2} (R^{2})$ with an attractive singular perturbation supported by a line a…

math-ph2002★ 35 cited

Bound states due to a strong $δ$ interaction supported by a curved surface

Pavel Exner, Sylwia Kondej

We study the Schrödinger operator $- Δ - α δ (x - Γ)$ in $L^{2} (R^{3})$ with a $δ$ interaction supported by an infinite non-planar surface $Γ$ which is smooth, admits a global normal paramet…

math-ph2001

On Eigenvalues Problem for Self-adjoint Operators with Singular Perturbations

Sylwia Kondej

We investigate the eigengenvalues problem for self-adjoint operators with the singular perturbations. The general results presented here includes weakly as well as strongly singula…

Leaky quantum wire and dots: a resonance model

Bound states due to a strong δ interaction supported by a curved surface

On Eigenvalues Problem for Self-adjoint Operators with Singular Perturbations

Bound states due to a strong $δ$ interaction supported by a curved surface