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In this work we ascertain the semiclassical behavior of the fun- damental energy and the ground state of an arbitrary second order elliptic operator, not necessarily selfadjoint, on a bounded domain. Our analysis pro- vides us with substantial improvements of many previous results found in the context of quantum mechanics for C1 perturbations of the Laplacian.

Semiclassical analysis of general second order elliptic operators on bounded domains