The point form of quantum dynamics and a 4-vector coordinate operator for a spinless particle

Bracken A.J. (1977) The point form of quantum dynamics and a 4-vector coordinate operator for a spinless particle. Journal of Mathematical Physics, 19 12: 2520-2527. doi:10.1063/1.523635

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Author Bracken A.J.
Title The point form of quantum dynamics and a 4-vector coordinate operator for a spinless particle
Journal name Journal of Mathematical Physics   Check publisher's open access policy
ISSN 0022-2488
Publication date 1977
Sub-type Article (original research)
DOI 10.1063/1.523635
Open Access Status File (Publisher version)
Volume 19
Issue 12
Start page 2520
End page 2527
Total pages 8
Subject 1605 Policy and Administration
Abstract We construct the analog in the quantum mechanics of a free spinless particle, of Dirac's formula for the generators of space-time translations in his point form of classical dynamics, where one takes as fundamental variables the generators of homogeneous Lorentz transformations and the coordinate 4-vector of the point where the world line of the particle meets one sheet of a two-sheeted hyperboloid in space-time. A 4-vector coordinate operator is determined for such a particle, with commuting Hermitian components. The corresponding observable is the analog of the coordinate 4-vector of the point on the Hyperboloid. This operator bears the same relation to such a surface as the Newton-Wigner operator does to an instant.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: Scopus Import
 
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Created: Tue, 05 Jul 2016, 03:38:00 EST by System User on behalf of Learning and Research Services (UQ Library)