理想声子气体中的电子无规行走。精确修饰电子密度矩阵演化方程
Electron random walk in ideal phonon gas. Exact dressed electron density matrix evolution equations
摘要：
提出了一种分析单电子（量子粒子）与理想声子气体（谐振玻色子恒温器）相互作用的全量子Liouville方程的新方法。结果表明，在热力学极限下，该方程可精确地化为一个由电子的密度矩阵及其最简不可约关联与一个、两个、三个和多个声子模振幅组成的演化方程组。这些新方程的可能应用解释的电子迁移率1/f型波动在半导体和其他介质进行了讨论。还考虑了电子处于静态无序的特殊情况。
英文摘要：
An original approach is suggested to analysis of full quantum Liouville equation for single electron (quantum particle) interacting with ideal phonon gas (harmonic boson thermostat). It is shown that under the thermodynamic limit this equation can be exactly reduced to a system of evolution equations connecting density matrix of the electron and its simplest irreducible correlations with amplitudes of one, two, three and more phonon modes. Possible application of these new equations to explanation of the electron mobility 1/f-type fluctuations in semiconductors and other media is discussed. The special case of electron in static disorder is also considered.
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