Spectral concentration and virtual poles. II

Abstract

Spectral concentration at an isolated eigenvalue of finite multiplicity of the selfadjoint operator ${H_\varepsilon } = {T_\varepsilon } + {A_\varepsilon }{B_\varepsilon }$ is shown to arise from a pole of an analytic continuation of ${A_\varepsilon }{({H_\varepsilon } - z)^{ - 1}}{B_\varepsilon }$. An application to quantum mechanical barrier penetration is given.

Locations

• Transactions of the American Mathematical Society - View