狄拉克方程与费雪信息

IF 2.1 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Entropy Pub Date : 2024-11-12 DOI:10.3390/e26110971

Asher Yahalom

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引用次数: 0

摘要

以前的研究表明，只要添加一个费雪信息项，薛定谔理论就能从势流拉格朗日推导出来。这种方法后来扩展到了保利的自旋电子理论，这需要一个具有非零涡度的克莱布什流拉格朗日。在这里，我们使用最新的相对论流拉格朗日来表示狄拉克理论，并按照量子力学的要求添加了洛伦兹不变的费雪信息项。

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Dirac Equation and Fisher Information.

Previously, it was shown that Schrödinger's theory can be derived from a potential flow Lagrangian provided a Fisher information term is added. This approach was later expanded to Pauli's theory of an electron with spin, which required a Clebsch flow Lagrangian with non-zero vorticity. Here, we use the recent relativistic flow Lagrangian to represent Dirac's theory with the addition of a Lorentz invariant Fisher information term as is required by quantum mechanics.

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来源期刊

Entropy PHYSICS, MULTIDISCIPLINARY-

CiteScore

4.90

自引率

11.10%

发文量

1580

审稿时长

21.05 days

期刊介绍： Entropy (ISSN 1099-4300), an international and interdisciplinary journal of entropy and information studies, publishes reviews, regular research papers and short notes. Our aim is to encourage scientists to publish as much as possible their theoretical and experimental details. There is no restriction on the length of the papers. If there are computation and the experiment, the details must be provided so that the results can be reproduced.