Quantum Smoluchowski Equation II: The Overdamped Harmonic Oscillator†
Quantum Smoluchowski Equation II: The Overdamped Harmonic Oscillator†
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DOI：
10.1021/jp010101z
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发表时间：
2001-05
影响因子：
3.3
通讯作者：
P. Pechukas;and Joachim Ankerhold;H. Grabert
中科院分区：
文献类型：
--
作者：
P. Pechukas;and Joachim Ankerhold;H. Grabert
量子Smoluchowski方程是密度算子的坐标对角元方程，它与经典的Smoluchowski方程相同。对于过阻尼谐振子的特殊情况，导出了量子斯莫鲁乔夫斯基方程的主要有限摩擦修正。它实际上是一个量子修正，不同于众所周知的经典修正，它在强摩擦状态下主导经典修正。
The quantum Smoluchowski equation is an equation for the coordinate-diagonal elements of the density operator, and it is identical to the classical Smoluchowski equation. Here, the leading finite-friction correction to the quantum Smoluchowski equation is derived, for the particular case of the overdamped harmonic oscillator. It is in fact a quantum correction, different from the well-known classical correction, and it dominates the classical correction in the strong friction regime.