Fisher Information Perspective of Pauli’s Electron

An electron moving at velocities much lower that the speed of light with a spin, is described by a wave function which is a solution of Pauli’s equation. It has been demonstrated that this system can be viewed as a vortical fluid which has remarkable similarities but also differences with classical...

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Main Author: Asher Yahalom
Format: Article
Language:English
Published: MDPI AG 2022-11-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/24/12/1721
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author Asher Yahalom
author_facet Asher Yahalom
author_sort Asher Yahalom
collection DOAJ
description An electron moving at velocities much lower that the speed of light with a spin, is described by a wave function which is a solution of Pauli’s equation. It has been demonstrated that this system can be viewed as a vortical fluid which has remarkable similarities but also differences with classical ideal flows. In this respect, it was shown that the internal energy of the Pauli fluid can be interpreted, to some degree, as Fisher Information. In previous work on this subject, electromagnetic fields which are represented by a vector potential were ignored, here we remove this limitation and study the system under general electromagnetic interaction.
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spelling doaj.art-7e7bd57d01c04f689618c48d198fab782023-11-24T14:41:44ZengMDPI AGEntropy1099-43002022-11-012412172110.3390/e24121721Fisher Information Perspective of Pauli’s ElectronAsher Yahalom0Department of Electrical & Electronic Engineering, Faculty of Engineering, Ariel University, Ariel 40700, IsraelAn electron moving at velocities much lower that the speed of light with a spin, is described by a wave function which is a solution of Pauli’s equation. It has been demonstrated that this system can be viewed as a vortical fluid which has remarkable similarities but also differences with classical ideal flows. In this respect, it was shown that the internal energy of the Pauli fluid can be interpreted, to some degree, as Fisher Information. In previous work on this subject, electromagnetic fields which are represented by a vector potential were ignored, here we remove this limitation and study the system under general electromagnetic interaction.https://www.mdpi.com/1099-4300/24/12/1721spinfluid dynamicselectromagnetic interaction
spellingShingle Asher Yahalom
Fisher Information Perspective of Pauli’s Electron
Entropy
spin
fluid dynamics
electromagnetic interaction
title Fisher Information Perspective of Pauli’s Electron
title_full Fisher Information Perspective of Pauli’s Electron
title_fullStr Fisher Information Perspective of Pauli’s Electron
title_full_unstemmed Fisher Information Perspective of Pauli’s Electron
title_short Fisher Information Perspective of Pauli’s Electron
title_sort fisher information perspective of pauli s electron
topic spin
fluid dynamics
electromagnetic interaction
url https://www.mdpi.com/1099-4300/24/12/1721
work_keys_str_mv AT asheryahalom fisherinformationperspectiveofpauliselectron