Vacuum expectation value asymptotics for second order differential operators on manifolds with boundary
T. P. Branson, P. B. Gilkey, D. V. Vassilevich
Abstract
Let M be a compact Riemannian manifold with smooth boundary. We study the vacuum expectation value of an operator Q by studying Tr Qe-tD, where D is an operator of Laplace type on M, and where Q is a second order operator with scalar leading symbol; we impose Dirichlet or modified Neumann boundary conditions.
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