I am looking for references on estimate of first nonzero Dirichlet eigenvalue for Schrodinger operator $-\Delta + V$, if sharp bounds exist, that would be better, here for simplicity, we can assume domain is in unit ball of $\mathbb{R}^n$, $n\ge 2$. Here $V$ is assumed to be bounded from below and above. Thanks.
estimate of smallest eigenvalue of Schrodinger operator
Yimin
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