一般几何中涨落诱导的双光子相互作用
Fluctuation-induced interactions between dielectrics in general geometries
摘要：
我们研究了一般几何条件下的热Casimir和量子非延迟Lifshitz相互作用。我们将经典的配分函数的计算映射到一个行列式上，并借助Cholesky分解对其进行离散和求值。量子配分函数被处理的路径积分量子化的一组相互作用的偶极子和减少到一个产品的行列式。我们比较了两两可加性和邻近力的近似与我们的数值方法。我们提出了一个“因式分解近似”，它给出了相当好的数值结果，我们研究的几何形状。
英文摘要：
We study thermal Casimir and quantum non-retarded Lifshitz interactions between dielectrics in general geometries. We map the calculation of the classical partition function onto a determinant which we discretize and evaluate with the help of Cholesky factorization. The quantum partition function is treated by path integral quantization of a set of interacting dipoles and reduces to a product of determinants. We compare the approximations of pairwise additivity and proximity force with our numerical methods. We propose a ``factorization approximation'' which gives rather good numerical results in the geometries that we study.
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