Talkner Peter, Lutz Eric, Hänggi Peter
Institute of Physics, University of Augsburg, Augsburg, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2007 May;75(5 Pt 1):050102. doi: 10.1103/PhysRevE.75.050102. Epub 2007 May 16.
The characteristic function of the work performed by an external time-dependent force on a Hamiltonian quantum system is identified with the time-ordered correlation function of the exponentiated system's Hamiltonian. A similar expression is obtained for the averaged exponential work which is related to the free energy difference of equilibrium systems by the Jarzynski work theorem.
外部含时力对哈密顿量子系统所做的功的特征函数,被确定为系统哈密顿量指数化后的时间排序关联函数。对于平均指数功,通过雅津斯基功定理,得到了一个与平衡系统自由能差相关的类似表达式。