The Boundary-Integral Formulation and Multiple-Reflection Expansion for the Vacuum Energy of Quantum Graphs
Mathematical Physics
2009-07-21 v1 math.MP
Abstract
Vacuum energy and other spectral functions of Laplace-type differential operators have been studied approximately by classical-path constructions and more fundamentally by boundary integral equations. As the first step in a program of elucidating the connections between these approaches and improving the resulting calculations, I show here how the known solutions for Kirchhoff quantum graphs emerge in a boundary-integral formulation.
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Cite
@article{arxiv.0907.3439,
title = {The Boundary-Integral Formulation and Multiple-Reflection Expansion for the Vacuum Energy of Quantum Graphs},
author = {S. A. Fulling},
journal= {arXiv preprint arXiv:0907.3439},
year = {2009}
}
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18 pages