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Ground state decay for Schrödinger operators with confining potentials
Miłosz Baraniewicz · 2024-07-12 · via math.PR updates on arXiv.org

We give two-sided estimates of a ground state for Schrödinger operators with confining potentials. We propose a semigroup approach, based on resolvent and the Feynman--Kac formula, which leads to a new, rather short and direct proof. Our results take the sharpest form for slowly varying, radial and increasing potentials.

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