Curvature-induced bound states for a $δ$ interaction supported by a curve in $\mathbb{R}^3$

Details Curvature-induced bound states for a $δ$ interaction supported by a curve in $\mathbb{R}^3$ Curvature-induced bound states for a $δ$ interaction supported by a curve in $\mathbb{R}^3$

2002-03-18

arxiv.org/abs/math-ph/0203028v1

Ann. H. Poincare 3 (2002), 967-981

Physics

Mathematical Physics

LaTeX 2e, 17 pages

Scientific paper

10.1007/s00023-002-8644-3

We study the Laplacian in $L^2(\mathbb{R}^3)$ perturbed on an infinite curve $\Gamma$ by a $\delta$ interaction defined through boundary conditions which relate the corresponding generalized boundary values. We show that if $\Gamma$ is smooth and not a straight line but it is asymptotically straight in a suitable sense, and if the interaction does not vary along the curve, the perturbed operator has at least one isolated eigenvalue below the threshold of the essential spectrum.

Affiliated with

Also associated with

No associations

Rating

Curvature-induced bound states for a $δ$ interaction supported by a curve in $\mathbb{R}^3$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Curvature-induced bound states for a $δ$ interaction supported by a curve in $\mathbb{R}^3$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Curvature-induced bound states for a $δ$ interaction supported by a curve in $\mathbb{R}^3$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-575968