  Work in closed quantum systems is usually defined by a two-point measurement.
This definition of work is compatible with quantum fluctuation theorems but it
fundamentally differs from its classical counterpart. In this paper, we study
the correspondence principle in quantum chaotic systems. We derive a
semiclassical expression of the work distribution for chaotic systems
undergoing a general, finite time, process. This semiclassical distribution
converges to the classical distribution in the usual classical limit. We show
numerically that, for a particle inside a chaotic cavity, the semiclassical
distribution provides a good approximation to quantum distribution.
