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We use quantum graphs as a model to study various mathematical aspects of the vacuum energy, such as convergence of periodic path expansions, consistency among different methods (trace formulae versus method of images) and the possible connection with the underlying classical dynamics.
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Kuchment P · 2004
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Gnutzmann S and Smilansky U · 2006
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On the trace formula for quantum star graphs
Winn B · 2006
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Fulling S A · 2006
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Bellazzini B and Mintchev M · 2006
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Haake F · 2006
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