Simultaneous geometrization of classical and quantum mechanics of particles with spin

K. B. Korotchenko

Research output: Contribution to journal › Article

3 Citations (Scopus)

Abstract

It is shown that the classical equations of motion for particles having internal degrees of freedom, i.e., spin (Nyborg equations) allow for a geometrization on a special manifold V4. It is also shown that the equation for a harmonic function on V4 (with an additional vector bundle on which a spinor connection is defined) is a squared Dirac equation.

Original languageEnglish
Pages (from-to)875-879
Number of pages5
JournalSoviet Physics Journal
Volume33
Issue number10
DOIs
Publication statusPublished - Oct 1990

Fingerprint

classical mechanics
quantum mechanics
harmonic functions
Dirac equation
bundles
equations of motion
degrees of freedom

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Simultaneous geometrization of classical and quantum mechanics of particles with spin. / Korotchenko, K. B.

In: Soviet Physics Journal, Vol. 33, No. 10, 10.1990, p. 875-879.

Research output: Contribution to journal › Article

Korotchenko, KB 1990, 'Simultaneous geometrization of classical and quantum mechanics of particles with spin', Soviet Physics Journal, vol. 33, no. 10, pp. 875-879. https://doi.org/10.1007/BF00897313
Korotchenko KB. Simultaneous geometrization of classical and quantum mechanics of particles with spin. Soviet Physics Journal. 1990 Oct;33(10):875-879. https://doi.org/10.1007/BF00897313
Korotchenko, K. B. / Simultaneous geometrization of classical and quantum mechanics of particles with spin. In: Soviet Physics Journal. 1990 ; Vol. 33, No. 10. pp. 875-879.
@article{34343f76e9c8456991c8cfaff697feee,
title = "Simultaneous geometrization of classical and quantum mechanics of particles with spin",
abstract = "It is shown that the classical equations of motion for particles having internal degrees of freedom, i.e., spin (Nyborg equations) allow for a geometrization on a special manifold V4. It is also shown that the equation for a harmonic function on V4 (with an additional vector bundle on which a spinor connection is defined) is a squared Dirac equation.",
author = "Korotchenko, {K. B.}",
year = "1990",
month = "10",
doi = "10.1007/BF00897313",
language = "English",
volume = "33",
pages = "875--879",
journal = "Russian Physics Journal",
issn = "1064-8887",
publisher = "Consultants Bureau",
number = "10",

}

TY - JOUR

T1 - Simultaneous geometrization of classical and quantum mechanics of particles with spin

AU - Korotchenko, K. B.

PY - 1990/10

Y1 - 1990/10

N2 - It is shown that the classical equations of motion for particles having internal degrees of freedom, i.e., spin (Nyborg equations) allow for a geometrization on a special manifold V4. It is also shown that the equation for a harmonic function on V4 (with an additional vector bundle on which a spinor connection is defined) is a squared Dirac equation.

AB - It is shown that the classical equations of motion for particles having internal degrees of freedom, i.e., spin (Nyborg equations) allow for a geometrization on a special manifold V4. It is also shown that the equation for a harmonic function on V4 (with an additional vector bundle on which a spinor connection is defined) is a squared Dirac equation.

UR - http://www.scopus.com/inward/record.url?scp=34249918287&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34249918287&partnerID=8YFLogxK

U2 - 10.1007/BF00897313

DO - 10.1007/BF00897313

M3 - Article

AN - SCOPUS:34249918287

VL - 33

SP - 875

EP - 879

JO - Russian Physics Journal

JF - Russian Physics Journal

SN - 1064-8887

IS - 10

ER -

Access to Document