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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 
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     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},
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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/

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