# Asymptotic Formulas for the Resonance Eigenvalues of the SchrÃ¶dinger Operator

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In this paper we consider the operator L generated in LÂ²âˆ‡ (a, b] by the boundary problem -[yÎ”(t)âˆ‡+[q(t)+2Î»p(t)-Î»2]y(t)=0, t âˆˆ (a, b), y(a)-hyÎ” (a)=0,y (b)+HyÎ”(b)=0 where p(t) is continuous, q(t) is partial continuous, q(t) â‰¥ 0, h â‰¥ 0, H â‰¥...

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- Eigenvalue problem for SchrÃ¶dingerâ€™s equation with repulsive potential. Matsumoto, S.; Kakazu, K.; Nagamine, T. // Journal of Mathematical Physics;Jan1986, Vol. 27 Issue 1, p232
SchrÃ¶dinger's operator â€” (ℏÂ²/2m){dÂ²/drÂ² + (2/r)d/dr} + V(r) is studied, and what happens when V(r) approaches â€” âˆž rapidly as r â†’ âˆž is shown. The cases in which V(r) âˆ¼ - Î²r[sup Î´] (Î² > 0, Î´ > 2) as r â†’ âˆž are covered....