Simultaneous geometrization of classical and quantum mechanics of particles with spin

Research School of High-Energy Physics

Research output: Contribution to journal › Article

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

Fingerprint

ASJC Scopus subject areas

Physics and Astronomy(all)

Cite this

Korotchenko, K. B. (1990). Simultaneous geometrization of classical and quantum mechanics of particles with spin. Soviet Physics Journal, 33(10), 875-879. https://doi.org/10.1007/BF00897313

@article{34343f76e9c8456991c8cfaff697feee,

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",

month = "10",

doi = "10.1007/BF00897313",

language = "English",

volume = "33",

pages = "875--879",

journal = "Russian Physics Journal",

issn = "1064-8887",

publisher = "Consultants Bureau",

number = "10",

}

TY - JOUR

T1 - Simultaneous geometrization of classical and quantum mechanics of particles with spin

AU - Korotchenko, K. B.

PY - 1990/10

Y1 - 1990/10

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=34249918287&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34249918287&partnerID=8YFLogxK

U2 - 10.1007/BF00897313

DO - 10.1007/BF00897313

M3 - Article

AN - SCOPUS:34249918287

VL - 33

SP - 875

EP - 879

JO - Russian Physics Journal

JF - Russian Physics Journal

SN - 1064-8887

IS - 10

ER -

Access to Document

10.1007/BF00897313