%0 Journal Article
%T Spectral concentration in Sturm-Liouville equations with large negative potential
%A Bernard J. Harris
%A Jeffrey C. Kallenbach
%J Electronic Journal of Differential Equations
%D 2010
%I Texas State University
%X We consider the spectral function, $ho_{alpha} (lambda)$, associated with the linear second-order question $$ y'' + (lambda - q(x)) y = 0 quad hbox{in } [0, infty) $$ and the initial condition $$ y(0) cos (alpha) + y' (0) sin (alpha) = 0, quad alpha in [0, pi). $$ in the case where $q (x) o - infty$ as $x o infty$. We obtain a representation of $ho_0 (lambda)$ as a convergent series for $lambda > Lambda_0$ where $Lambda_0$ is computable, and a bound for the points of spectral concentration.
%K Spectral theory
%K Schrodinger equation
%U http://ejde.math.txstate.edu/Volumes/2010/133/abstr.html