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.

Original language	English
Pages (from-to)	875-879
Number of pages	5
Journal	Soviet Physics Journal
Volume	33
Issue number	10
DOIs	https://doi.org/10.1007/BF00897313
Publication status	Published - Oct 1990

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1007/BF00897313

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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",

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language = "English",

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journal = "Russian Physics Journal",

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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.

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