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.  We study Schrödinger operators on $${\mathbb{R}}^n$$ formally given by $$H_\mu = - \Delta - \mu$$, where μ is a positive, compactly supported measure from the Kato class. Under the assumption that a certain condition on the μ-volume of balls is satisfied and that Hμ has at least two eigenvalues below the essential spectrum $$\sigma_{ess}(H_\mu) = [0,\infty)$$, we derive a lower bound on the first spectral gap of Hμ. The assumption on the μ-volume of balls is in particular satisfied if μ is of the form $$\mu = a\sigma_M$$, where M is a compact (n-1)-dimensional Lipschitz submanifold of $${\mathbb{R}}^n$$, σM the surface measure on M, and $$0 \leq a \in L_\infty(M)$$.

A Lower Bound on the First Spectral Gap of Schrödinger Operators with Kato Class Measures