Evaluation of the Feynman's propagator by means of the quantum Hamilton-Jacobi equation
Mario Fusco Girard
TL;DR
This paper demonstrates that the complex phase of Feynman's propagator can be derived as a solution to the quantum Hamilton-Jacobi equation, linking path integral formulation with quantum Hamilton-Jacobi theory.
Contribution
It establishes a novel connection between Feynman's propagator and the quantum Hamilton-Jacobi equation, providing new insights into quantum dynamics.
Findings
The complex phase of the Feynman propagator solves the quantum Hamilton-Jacobi equation.
Links between path integral and quantum Hamilton-Jacobi formulations are clarified.
Provides a new perspective on quantum propagators through differential equations.
Abstract
It is shown that the complex phase of the Feynman propagator is a solution of the quantum Hamilton Jacobi equation
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Taxonomy
TopicsQuantum Mechanics and Applications · Quantum optics and atomic interactions · Nonlinear Dynamics and Pattern Formation