Simultaneous geometrization of classical and quantum mechanics of spinless particles

Research output: Contribution to journalArticle

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

Fingerprint

classical mechanics
quantum mechanics
Klein-Gordon equation
relativistic particles
equations of motion

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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

In: Soviet Physics Journal, Vol. 33, No. 9, 09.1990, p. 780-783.

Research output: Contribution to journalArticle

@article{08a374788ebe4a82bcdc9178195c423c,
title = "Simultaneous geometrization of classical and quantum mechanics of spinless particles",
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).",
author = "Korotchenko, {K. B.}",
year = "1990",
month = "9",
doi = "10.1007/BF00894903",
language = "English",
volume = "33",
pages = "780--783",
journal = "Russian Physics Journal",
issn = "1064-8887",
publisher = "Consultants Bureau",
number = "9",

}

TY - JOUR

T1 - Simultaneous geometrization of classical and quantum mechanics of spinless particles

AU - Korotchenko, K. B.

PY - 1990/9

Y1 - 1990/9

N2 - 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).

AB - 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).

UR - http://www.scopus.com/inward/record.url?scp=34249918033&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34249918033&partnerID=8YFLogxK

U2 - 10.1007/BF00894903

DO - 10.1007/BF00894903

M3 - Article

VL - 33

SP - 780

EP - 783

JO - Russian Physics Journal

JF - Russian Physics Journal

SN - 1064-8887

IS - 9

ER -