Now showing items 1-2 of 2
Spectral asymptotics for $\delta$-interactions on sharp cones
We investigate the spectrum of three-dimensional Schr\"odinger operators with $\delta$-interactions of constant strength supported on circular cones. As shown in earlier works, such operators have infinitely many eigenvalues ...
On the bound states of Schrödinger operators with $\delta$-interactions on conical surfaces
In dimension greater than or equal to three, we investigate the spectrum of a Schrödinger operator with a $\delta$-interaction supported on a cone whose cross section is the sphere of codimension two. After decomposing ...