The Quantum Newton's Law

Details The Quantum Newton's Law The Quantum Newton's Law

2001-03-14

arxiv.org/abs/quant-ph/0103071v2

Phys.Lett. A285 (2001) 27-33

Physics

Quantum Physics

10 pages, LateX, no figures, minor changes

Scientific paper

10.1016/S0375-9601(01)00312-7

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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