Geodesic
Integral Equation for the Spinor Amplitude of a Dirac Particle in a Curved Space-Time
Teoretičeskaâ i matematičeskaâ fizika, Tome 135 (2003) no. 2, pp. 331-337

Voir la notice de l'article provenant de la source Math-Net.Ru

We obtain a system of integral equations for the spinor amplitude of a wave packet describing a massive neutral Dirac particle in a curved space-time with an arbitrary geometry. This equation permits describing the spin dynamics of fermions in gravitational fields adequately to the quantum nature of spin. We consider a specific example of the Kerr–Schild metric. We also discuss the problem of massive neutrino oscillations in an external gravitational field.
Keywords: integral equation, curved space-time.
Mots-clés : spinor amplitude 
@article{TMF_2003_135_2_a12,
     author = {V. P. Tsvetkov},
     title = {Integral {Equation} for the {Spinor} {Amplitude} of a {Dirac} {Particle} in a {Curved} {Space-Time}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {331--337},
     publisher = {mathdoc},
     volume = {135},
     number = {2},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2003_135_2_a12/}
}
TY  - JOUR
AU  - V. P. Tsvetkov
TI  - Integral Equation for the Spinor Amplitude of a Dirac Particle in a Curved Space-Time
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2003
SP  - 331
EP  - 337
VL  - 135
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2003_135_2_a12/
LA  - ru
ID  - TMF_2003_135_2_a12
ER  - 
%0 Journal Article
%A V. P. Tsvetkov
%T Integral Equation for the Spinor Amplitude of a Dirac Particle in a Curved Space-Time
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2003
%P 331-337
%V 135
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2003_135_2_a12/
%G ru
%F TMF_2003_135_2_a12
V. P. Tsvetkov. Integral Equation for the Spinor Amplitude of a Dirac Particle in a Curved Space-Time. Teoretičeskaâ i matematičeskaâ fizika, Tome 135 (2003) no. 2, pp. 331-337. http://geodesic.mathdoc.fr/item/TMF_2003_135_2_a12/