Schrödinger operators with δinteractions supported on conical surfaces
Abstract
We investigate the spectral properties of selfadjoint Schrödinger operators with attractive δinteractions of constant strength \alpha \gt 0 supported on conical surfaces in {{{R}}^{3}}. It is shown that the essential spectrum is given by [{{\alpha }^{2}}/4,+\infty ) and that the discrete spectrum is infinite and accumulates to {\mkern 1mu} {{\alpha }^{2}}/4. Furthermore, an asymptotic estimate of these eigenvalues is obtained.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 September 2014
 DOI:
 10.1088/17518113/47/35/355202
 arXiv:
 arXiv:1404.1764
 Bibcode:
 2014JPhA...47I5202B
 Keywords:

 Mathematics  Spectral Theory;
 Mathematical Physics
 EPrint:
 doi:10.1088/17518113/47/35/355202