%0 Journal Article %T Quantum Hamilton-Jacobi equation %A Vipul Periwal %J Physics %D 1997 %I arXiv %R 10.1103/PhysRevLett.80.4366 %X The nontrivial transformation of the phase space path integral measure under certain discretized analogues of canonical transformations is computed. This Jacobian is used to derive a quantum analogue of the Hamilton-Jacobi equation for the generating function of a canonical transformation that maps any quantum system to a system with a vanishing Hamiltonian. A formal perturbative solution of the quantum Hamilton-Jacobi equation is given. %U http://arxiv.org/abs/hep-th/9709200v1