06-180 Christian Remling

Discrete and embedded eigenvalues for one-dimensional Schr"odinger operators (36K, LaTeX) Jun 12, 06

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

Abstract. I present an example of a discrete Schr"odinger operator that shows that it is possible to have embedded singular spectrum and, at the same time, discrete eigenvalues that approach the edges of the essential spectrum (much) faster than exponentially. This settles a conjecture of Simon (in the negative). The potential is of von Neumann-Wigner type, with careful navigation around a previously identified borderline situation.

Files: 06-180.src( 06-180.keywords , evs.tex )