Phys. Rev. Lett. 80, 4366–4369 (1998)Quantum Hamilton-Jacobi EquationReceived 29 September 1997; published in the issue dated 18 May 1998 The nontrivial transformation of the phase space path integral measure under certain discretized analogs of canonical transformations is computed. This Jacobian is used to derive a quantum analog 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 perturbative solution of the quantum Hamilton-Jacobi equation is given. This solution gives a new way to compute quantum corrections for any soliton equation for which action-angle variables are known. © 1998 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.80.4366
DOI:
10.1103/PhysRevLett.80.4366
PACS:
03.65.Ca
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