电子与声子场弱耦合的线性Boltzmann方程
Linear Boltzmann equation as the long time dynamics of an electron weakly coupled to a phonon field
摘要：
研究了量子粒子与声子场弱相互作用的长时间演化。我们证明了在弱耦合极限下，电子密度矩阵的Wigner分布在时间上全局收敛于线性Boltzmann方程的解。碰撞核被确定为取决于自由声子模的平衡分布的发射和吸收项的总和。
英文摘要：
We consider the long time evolution of a quantum particle weakly interacting with a phonon field. We show that in the weak coupling limit the Wigner distribution of the electron density matrix converges to the solution of the linear Boltzmann equation globally in time. The collision kernel is identified as the sum of an emission and an absorption term that depend on the equilibrium distribution of the free phonon modes.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
