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Mathematical Problems in Quantum Physics

Mathematical Problems in Quantum Physics

We consider the Krein Laplacian on a regular bounded domain Ω ⊂ R d , d ≥ 2, perturbed by a real-valued multiplier V vanishing on the boundary.Assuming that V has a definite sign, we investigate the asymptotics of the functions counting the eigenvalues of K +V which converge to …