Spectral concentration and virtual poles. II

Howland, James S.

doi:10.1090/S0002-9947-1971-0283618-5

Spectral concentration and virtual poles. II
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by James S. Howland PDF

Trans. Amer. Math. Soc. 162 (1971), 141-156 Request permission

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.

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