Classical-mechanical models without observable trajectories and the Dirac electron

Abstract

We construct a non-Grassmann spinning-particle model which, by analogy with quantum mechanics, does not admit the notion of a trajectory within the position space. The pseudo-classical character of the model allows us to avoid the inconsistencies arising in the quantum-mechanical interpretation of a one-particle sector of the Dirac equation.

Original language	English
Pages (from-to)	13-17
Number of pages	5
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	377
Issue number	1-2
DOIs	https://doi.org/10.1016/j.physleta.2012.11.024
Publication status	Published - 3 Dec 2012
Externally published	Yes

Keywords

Dirac equation
Semiclassical description of relativistic spin
Theories with constraints

ASJC Scopus subject areas

Physics and Astronomy(all)

Access to Document

10.1016/j.physleta.2012.11.024

Fingerprint Dive into the research topics of 'Classical-mechanical models without observable trajectories and the Dirac electron'. Together they form a unique fingerprint.

Cite this

@article{b4ab1112c1d74db8bbf95678e253850d,

title = "Classical-mechanical models without observable trajectories and the Dirac electron",

abstract = "We construct a non-Grassmann spinning-particle model which, by analogy with quantum mechanics, does not admit the notion of a trajectory within the position space. The pseudo-classical character of the model allows us to avoid the inconsistencies arising in the quantum-mechanical interpretation of a one-particle sector of the Dirac equation.",

keywords = "Dirac equation, Semiclassical description of relativistic spin, Theories with constraints",

author = "Deriglazov, {A. A.}",

year = "2012",

month = dec,

day = "3",

doi = "10.1016/j.physleta.2012.11.024",

language = "English",

volume = "377",

pages = "13--17",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

issn = "0375-9601",

publisher = "Elsevier",

number = "1-2",

}

TY - JOUR

T1 - Classical-mechanical models without observable trajectories and the Dirac electron

AU - Deriglazov, A. A.

PY - 2012/12/3

Y1 - 2012/12/3

N2 - We construct a non-Grassmann spinning-particle model which, by analogy with quantum mechanics, does not admit the notion of a trajectory within the position space. The pseudo-classical character of the model allows us to avoid the inconsistencies arising in the quantum-mechanical interpretation of a one-particle sector of the Dirac equation.

AB - We construct a non-Grassmann spinning-particle model which, by analogy with quantum mechanics, does not admit the notion of a trajectory within the position space. The pseudo-classical character of the model allows us to avoid the inconsistencies arising in the quantum-mechanical interpretation of a one-particle sector of the Dirac equation.

KW - Dirac equation

KW - Semiclassical description of relativistic spin

KW - Theories with constraints

UR - http://www.scopus.com/inward/record.url?scp=84870053830&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84870053830&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2012.11.024

DO - 10.1016/j.physleta.2012.11.024

M3 - Article

AN - SCOPUS:84870053830

VL - 377

SP - 13

EP - 17

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 1-2