Quantum Newton's law

被引：19
|
作者：
Bouda, A [1 ]
Djama, T [1 ]
机构：
[1] Univ Bejaia, Lab Phys Theor, Bejaia 06000, Algeria
来源：
PHYSICS LETTERS A | 2001年 / 285卷 / 1-2期
关键词：
quantum law of motion; conservation equation; Lagrangian; quantum Hamilton-Jacobi equation; Jacobi's theorem; trajectory;
D O I：
10.1016/S0375-9601(01)00312-7
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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. (C) 2001 Elsevier Science B.V. All rights reserved.
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页码：27 / 33
页数：7
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