The Relativistic Quantum Stationary Hamilton Jacobi Equation for Particle with Spin 1/2

2003/11/10 by T. Djama, Djama, T.
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Physics (quant-ph) #Quantum optics and atomic interactions #hep-th #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0311057

Latex, 8 pages, no figure

arxiv created 2003/11/10 · openalex publication_date 2003/11/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For one dimensional motions, we derive from the Dirac Spinors Equation (DSE) the Quantum Stationary Hamilton-Jacobi Equation for particles with spin 1/2. Then, We give its solution. We demonstrate that the QSHJES_1\over2 have two explicit forms, which represent the two possible projection of the Spin 1/2.

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