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The Quantum Newton's Law

A. Bouda·T. Djama
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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.

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A. Bouda, T. Djama. 2001-06-29. The Quantum Newton's Law. https://doi.org/10.1016/s0375-9601(01)00312-7

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