量子图上的量子场论及其在电导中的应用
Quantum field theory on quantum graphs and application to their conductance
摘要：
在一般量子图上构造玻色量子场。构造的一致性导致计算图的总散射矩阵。这个矩阵是等价的一个已经提出了使用广义星积方法。我们给出了几个例子，并展示了它们是如何推广数学或凝聚态物理文献中计算的一些散射矩阵的。然后，我们应用该构造计算图的电导，在一个小的距离近似。近似的一致性证明了直接比较与“蝌蚪”图的精确计算。
英文摘要：
We construct a bosonic quantum field on a general quantum graph. Consistency of the construction leads to the calculation of the total scattering matrix of the graph. This matrix is equivalent to the one already proposed using generalized star product approach. We give several examples and show how they generalize some of the scattering matrices computed in the mathematical or condensed matter physics litterature. Then, we apply the construction for the calculation of the conductance of graphs, within a small distance approximation. The consistency of the approximation is proved by direct comparison with the exact calculation for the `tadpole' graph.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
