Quantum Hamilton-Jacobi equation

Abstract

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.

4 pages, RevTeX

References in corpus (2)

• Quantum Mechanics from an Equivalence Principle
• The complete solution of the Hamilton-Jacobi equation in Quantum Mechanics

Cited by in corpus (6)

• The Equivalence Postulate of Quantum Mechanics
• Quantum Transformations
• The Equivalence Principle of Quantum Mechanics: Uniqueness Theorem
• Quantum Hamilton-Jacobi Theory
• Energy Quantisation and Time Parameterisation
• On the Hamilton-Jacobi method in classical and quantum nonconservative systems