On a hydrodynamical description of the Dirac equation
type: Item
instance of: scholarly article
title: On a hydrodynamical description of the Dirac equation
zbMATH Open document ID: 0598.53060
DOI: 10.1016/0034-4877(85)90051-5
author: Andrzej Jakubiec
published in: Reports on Mathematical Physics
publication date: 1985-01-01T00:00:00Z
review text: A new form of the Dirac equation in curved spacetime (M,g) is given. It is based on the representation of a bispinor by means of an orthonormal vierbein \(e_{\alpha}\) and a complex number \(\rho\). In the geometrical language the Dirac equation obtained this way is equivalent to the system of second order equations for the vierbein. The function \(\rho\) is uniquely determined by the vierbein field.
Mathematics Subject Classification ID: 53B50
Mathematics Subject Classification ID: 81Q05
zbMATH DE Number: 3964936
zbMATH Keywords: Dirac equation
zbMATH Keywords: curved spacetime
zbMATH Keywords: vierbein field
MaRDI profile type: Publication
full work available at URL: 0034-4877(85)90051-5
OpenAlex ID: W1987949690
cites work: Q3264102
cites work: Q4165939
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cites work: Seminar on Atiyah-Singer Index Theorem. (AM-57)
description: scientific article; zbMATH DE number 3964936