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math-ph2009
The Boundary-Integral Formulation and Multiple-Reflection Expansion for the Vacuum Energy of Quantum Graphs
S. A. Fulling
Vacuum energy and other spectral functions of Laplace-type differential operators have been studied approximately by classical-path constructions and more fundamentally by boundary…
math-ph2005
Mass Dependence of Vacuum Energy
S. A. Fulling
The regularized vacuum energy (or energy density) of a quantum field subjected to static external conditions is shown to satisfy a certain partial differential equation with respec…
math-ph2004
The Dirichlet-to-Robin Transform
J. D. Bondurant, S. A. Fulling
A simple transformation converts a solution of a partial differential equation with a Dirichlet boundary condition to a function satisfying a Robin (generalized Neumann) condition.…