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

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 $QSHJE{S}_{\frac{1}{2}}$ have two explicit forms, which represent the two possible projection of the Spin 1/2.

Latex, 8 pages, no figure

Cited by in corpus (2)

• 2D(1+1) Quantum Gravity. Gravitational Quantum Stationary Hamilton-Jacobi Equation
• The Relativistic Quantum Law of motion for a Particle with Spin 1/2