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 |
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Pages (from-to) | 875-879 |
Number of pages | 5 |
Journal | Soviet Physics Journal |
Volume | 33 |
Issue number | 10 |
DOIs | |
Publication status | Published - Oct 1990 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
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Simultaneous geometrization of classical and quantum mechanics of particles with spin. / Korotchenko, K. B.
In: Soviet Physics Journal, Vol. 33, No. 10, 10.1990, p. 875-879.Research output: Contribution to journal › Article
}
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 -