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Semiclassical Analysis of General Second Order Elliptic Operators on Bounded Domains

E. N. Dancer and J. López-Gómez
Transactions of the American Mathematical Society
Vol. 352, No. 8 (Aug., 2000), pp. 3723-3742
Stable URL: http://www.jstor.org/stable/118252
Page Count: 20
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Semiclassical Analysis of General Second Order Elliptic Operators on Bounded Domains
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Abstract

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∞ perturbations of the Laplacian.

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