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

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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.
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