Tsusaka K
Department of Physics, Graduate School of Science, Nagoya University, Nagoya 464-8602, Japan.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 May;59(5 Pt A):4931-8. doi: 10.1103/physreve.59.4931.
Kleinert and Shabanov [H. Kleinert and S. V. Shabanov, Phys. Lett. A 200, 224 (1995)] have derived the quantum Langevin equations from the Feynman-Vernon forward-backward path integral for a density matrix of a quantum system in a thermal oscillator bath. However, their derivation is confined to an Ohmic case. In this paper we derive the generalized quantum Langevin equations from the forward-backward path integral, by extending the Kleinert-Shabanov method to a general case.
克莱纳特和沙巴诺夫[H. 克莱纳特和S. V. 沙巴诺夫，《物理快报A》200, 224 (1995)] 已从费曼 - 弗农前向 - 后向路径积分推导出处于热振子浴中的量子系统密度矩阵的量子朗之万方程。然而，他们的推导仅限于欧姆情形。在本文中，我们通过将克莱纳特 - 沙巴诺夫方法扩展到一般情形，从前向 - 后向路径积分推导出广义量子朗之万方程。
