量子图真空能的边界积分表示和多重反射展开
The Boundary-Integral Formulation and Multiple-Reflection Expansion for the Vacuum Energy of Quantum Graphs
摘要：
真空能量和拉普拉斯型微分算子的其他谱函数已经近似地通过经典路径构造和更基本地通过边界积分方程来研究。作为阐明这些方法之间的联系和改进计算结果的程序的第一步，我在这里展示了基尔霍夫量子图的已知解如何出现在边界积分公式中。
英文摘要：
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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