Quantum Stationary Hamilton Jacobi Equation in 3-D for symmetrical potentials. Introduction of the Spin

2001/11/26 by T. Djama, Djama, T.
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0111142

12 pages, LaTex, no figures

arxiv created 2001/11/26 · openalex publication_date 2001/11/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We establish the quantum stationary Hamilton-Jacobi equation in 3-D and its solutions for three symmetrical potentials, Cartesian symmetry potential, spherical symmetry potential and cylindrical symmetry potential. For the two last potentials, a new interpretation of the Spin is proposed within the framework of trajectory representation.

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