Geometrical relationship between the classical and quantum descriptions of arbitrary force interactions

Research output: Contribution to journalArticle

Abstract

The paper is a continuation of a series papers by the author in which it is shown that the equations of contemporary quantum theory (the Klein-Gordon equation and the Dirac integral equation) can be interpreted as conditions of harmonicity of linear form in the manifoldsV4. In this paper, geometrization of classical and quantum interactions of a physical object is performed for the case of an arbitrary external force field in the manifoldkV4. This manifold is constructed on the same set of surfaces as the manifoldsV4. The equation representing conditions of harmonicity of linear form inkV4 is derived and is analogous to the KleinGordon equation.

Original languageEnglish
Pages (from-to)1-4
Number of pages4
JournalRussian Physics Journal
Volume36
Issue number1
DOIs
Publication statusPublished - Jan 1993

Fingerprint

Klein-Gordon equation
interactions
quantum theory
field theory (physics)
integral equations

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

@article{87243d07675545968ef9ae191f047290,
title = "Geometrical relationship between the classical and quantum descriptions of arbitrary force interactions",
abstract = "The paper is a continuation of a series papers by the author in which it is shown that the equations of contemporary quantum theory (the Klein-Gordon equation and the Dirac integral equation) can be interpreted as conditions of harmonicity of linear form in the manifoldsV4. In this paper, geometrization of classical and quantum interactions of a physical object is performed for the case of an arbitrary external force field in the manifoldkV4. This manifold is constructed on the same set of surfaces as the manifoldsV4. The equation representing conditions of harmonicity of linear form inkV4 is derived and is analogous to the KleinGordon equation.",
author = "Korotchenko, {K. B.}",
year = "1993",
month = "1",
doi = "10.1007/BF00559245",
language = "English",
volume = "36",
pages = "1--4",
journal = "Russian Physics Journal",
issn = "1064-8887",
publisher = "Consultants Bureau",
number = "1",

}

TY - JOUR

T1 - Geometrical relationship between the classical and quantum descriptions of arbitrary force interactions

AU - Korotchenko, K. B.

PY - 1993/1

Y1 - 1993/1

N2 - The paper is a continuation of a series papers by the author in which it is shown that the equations of contemporary quantum theory (the Klein-Gordon equation and the Dirac integral equation) can be interpreted as conditions of harmonicity of linear form in the manifoldsV4. In this paper, geometrization of classical and quantum interactions of a physical object is performed for the case of an arbitrary external force field in the manifoldkV4. This manifold is constructed on the same set of surfaces as the manifoldsV4. The equation representing conditions of harmonicity of linear form inkV4 is derived and is analogous to the KleinGordon equation.

AB - The paper is a continuation of a series papers by the author in which it is shown that the equations of contemporary quantum theory (the Klein-Gordon equation and the Dirac integral equation) can be interpreted as conditions of harmonicity of linear form in the manifoldsV4. In this paper, geometrization of classical and quantum interactions of a physical object is performed for the case of an arbitrary external force field in the manifoldkV4. This manifold is constructed on the same set of surfaces as the manifoldsV4. The equation representing conditions of harmonicity of linear form inkV4 is derived and is analogous to the KleinGordon equation.

UR - http://www.scopus.com/inward/record.url?scp=34249766275&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34249766275&partnerID=8YFLogxK

U2 - 10.1007/BF00559245

DO - 10.1007/BF00559245

M3 - Article

VL - 36

SP - 1

EP - 4

JO - Russian Physics Journal

JF - Russian Physics Journal

SN - 1064-8887

IS - 1

ER -