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Work statistics characterizes important features of a non-equilibriumthermodynamic process. But the calculation of the work statistics in anarbitrary non-equilibrium process is usually a cumbersome task. In this work,we study the work statistics in quantum systems by employing Feynman'spath-integral approach. We derive the analytical work distributions of twoprototype quantum systems. The results are proved to be equivalent to theresults obtained based on Schr\"{o}dinger's formalism. We also calculate thework distributions in their classical counterparts by employing thepath-integral approach. Our study demonstrates the effectiveness of thepath-integral approach to the calculation of work statistics in both quantumand classical thermodynamics, and brings important insights to theunderstanding of the trajectory work in quantum systems.

Path integral approach to the calculation of the characteristic function of work