Path-integral approach to the Wigner-Kirkwood expansion.
Path-integral approach to the Wigner-Kirkwood expansion.
复制标题
维格纳-柯克伍德展开的路径积分方法。
DOI：
--
复制
发表时间：
2013
期刊：
影响因子：
--
通讯作者：
Václav Zatloukal
中科院分区：
文献类型：
--
作者：
P. Jizba;Václav Zatloukal
我们研究了量子力学路径积分的高温行为。从费曼-卡茨公式出发，我们导出了量子玻尔兹曼密度的Wigner-Kirkwood微扰展开的泛函表示。通过对不同势的应用表明，所提出的展开式在生成高阶展开式系数的解析形式方面是非常有效的。为了使问题更加具体，我们应用展开法得到了一维非谐振子的基本热力学函数。进一步的突出问题，如推广到布洛赫密度矩阵和比较更习惯的世界线公式，讨论。
We study the high-temperature behavior of quantum-mechanical path integrals. Starting from the Feynman-Kac formula, we derive a functional representation of the Wigner-Kirkwood perturbation expansion for quantum Boltzmann densities. As shown by its applications to different potentials, the presented expansion turns out to be quite efficient in generating analytic form of the higher-order expansion coefficients. To put some flesh on the bare bones, we apply the expansion to obtain basic thermodynamic functions of the one-dimensional anharmonic oscillator. Further salient issues, such as generalization to the Bloch density matrix and comparison with the more customary world-line formulation, are discussed.