Quantum Hamilton-Jacobi equation

Details Quantum Hamilton-Jacobi equation Quantum Hamilton-Jacobi equation

1997-09-29

arxiv.org/abs/hep-th/9709200v1

Phys.Rev.Lett. 80 (1998) 4366-4369

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, RevTeX

Scientific paper

10.1103/PhysRevLett.80.4366

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.

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