The spectral bound of Schrodinger operators

Let V : RN → [0, ∞] be a measurable function, and λ > 0 be a parameter. We consider the behaviour of the spectral bound of the operator 1/2Δ - λV as a function of λ. In particular, we give a formula for the limiting value as λ → ∞, in terms of the integrals of V over subsets of RN on which th...