  We investigate the statistics of heat exchange between a finite system
coupled to reservoir(s). We have obtained analytical results for heat
fluctuation theorem in the transient regime considering the Hamiltonian
dynamics of the composite system consisting of the system of interest and the
heat bath(s). The system of interest is driven by an external protocol. We
first derive it in the context of a single heat bath. The result is in exact
agreement with known result. We then generalize the treatment to two heat
baths. We further extend the study to quantum systems and show that relations
similar to the classical case hold in the quantum regime. For our study we
invoke von Neumann two point projective measurement in quantum mechanics in the
transient regime. Our result is a generalisation of Jarzynski-W$\grave{o}$jcik
heat fluctuation theorem.
