The Quantum Newton's Law

Abstract

Using the quantum Hamilton-Jacobi equation within the framework of the equivalence postulate, we construct a Lagrangian of a quantum system in one dimension and derive a third order equation of motion representing a first integral of the quantum Newton's law. We then integrate this equation in the free particle case and compare our results to those of Floydian trajectories. Finally, we propose a quantum version of Jacobi's theorem.

10 pages, LateX, no figures, minor changes

Cited by in corpus (9)

• From a Mechanical Lagrangian to the Schrödinger Equation. A Modified Version of the Quantum Newton's Law
• Trajectories in the Context of the Quantum Newton's Law
• Reply to "Comments on Bouda and Djama's 'Quantum Newton's Law'"
• Comments on Bouda and Djama's "Quantum Newton's law"
• Interference, reduced action, and trajectories
• Quantum Law of Motion: Analysis and Extension to Higher Dimensions
• The Quantum Reduced Action In Higher Dimensions
• The Relativistic Quantum Motions
• Les Interactions Fondamentales et la Structure de l'Espace-temps