  A quantum version of Raychaudhuri's equation is presented which should be
useful for the analysis of singularities in the quantum regime. The equation
presented is applicable for $(n + 1)$ dimensions for an arbitrary $n$. For $n =
2$, the equation reproduces the one already available in literature. An
important feature of the Hamiltonian is that it admits a self-adjoint extension
quite generally. Thus, the conservation of probability is ensured, and the
equation can indeed be applied to any gravitational system.
