Simultaneous geometrization of classical and quantum mechanics of particles with spin

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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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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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