Transactions of the American Mathematical Society

Semiclassical analysis of general second order elliptic operators on bounded domains

Author(s): E. N. Dancer; J. López-Gómez
Journal: Trans. Amer. Math. Soc. 352 (2000), 3723-3742.
MSC (2000): Primary 35P15, 35J10, 35B25
Posted: March 21, 2000
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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 $C^\infty$ perturbations of the Laplacian.

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E. N. Dancer
Affiliation: Department of Mathematics, The University of Sydney, Sydney, N.S.W. 2006, Australia
Email: normd@maths.usyd.edu.au

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