Asymptotics of eigenvalue clusters for Schrödinger operators on the Sierpiński gasket
Asymptotics of eigenvalue clusters for Schrödinger operators on the Sierpiński gasket
In this note we investigate the asymptotic behavior of spectra of Schrödinger operators with continuous potential on the SierpiÅski gasket $SG$. In particular, using the existence of localized eigenfunctions for the Laplacian on $SG$ we show that the eigenvalues of the Schrödinger operator break into clusters around certain eigenvalues of …