Simultaneous geometrization of classical and quantum mechanics of spinless particles

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Abstract

It is shown that classical and quantum equations of motion of a relativistic spinless particle (the Lorentz and Klein-Gordon equations) allow for a geometrization on the same manifold {Mathematical expression}4. A classical particle on {Mathematical expression}4 is described as a free particle ( {Mathematical expression}pμ=0), while the quantum particle, as a free wave ( {Mathematical expression}s=0).

Original languageEnglish
Pages (from-to)780-783
Number of pages4
JournalSoviet Physics Journal
Volume33
Issue number9
DOIs
Publication statusPublished - Sep 1990

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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