Scattering resonances as viscosity limits

Using the method of complex scaling we show that scattering resonances of $- Δ+ V$, $V \in L^\infty_{\rm{c}} ( \mathbb R^n )$, are limits of eigenvalues of $- Δ+ V - i εx^2$ as $ε\to 0+$. That justifies a method proposed in computational chemistry and reflects a general principle for resonances in other settings.

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