Semiclassical analysis of general second order elliptic operators on bounded domains
Edward Norman Dancer, Julián López-Gómez · Transactions of the American Mathematical Society · 2000
In this work we ascertain the semiclassical behavior of the fundamental energy and the ground state of an arbitrary second order elliptic operator, not necessarily selfadjoint, on a bounded domain. Our analysis provides us with substantial improvements of many previous results found in the context of quantum mechanics for C ∞ C^\infty perturbations of the Laplacian.