14-23 Jussi Behrndt, Pavel Exner, and Vladimir Lotoreichik

Schroedinger operators with delta-interactions supported on conical surfaces (590K, pdf) Apr 8, 14

Abstract , Paper (src), View paper (auto. generated pdf), Index of related papers

Abstract. We investigate the spectral properties of self-adjoint Schr\"odinger operators with attractive $\delta$-interactions of constant strength $lpha > 0$ supported on conical surfaces in $\mathbb{R}^3$. It is shown that the essential spectrum is given by $[-lpha^2/4,+\infty)$ and that the discrete spectrum is infinite and accumulates to $-lpha^2/4$. Furthermore, an asymptotic estimate of these eigenvalues is obtained.

Files: 14-23.src( 14-23.keywords , BehrndtExnerLotoreichikFinal.pdf.mm )