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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 135, Number 2, Pages 331–337
DOI: https://doi.org/10.4213/tmf191 (Mi tmf191) 		 
Integral Equation for the Spinor Amplitude of a Dirac Particle in a Curved Space-Time

V. P. Tsvetkov

Tver State University, Department of Mathematics
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DOI: https://doi.org/10.4213/tmf191
Abstract: 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, spinor amplitude, curved space-time.
Received: 05.07.2002
English version:
Theoretical and Mathematical Physics, 2003, Volume 135, Issue 2, Pages 727–732
DOI: https://doi.org/10.1023/A:1023634918946
Bibliographic databases:
Language: Russian
Citation: V. P. Tsvetkov, “Integral Equation for the Spinor Amplitude of a Dirac Particle in a Curved Space-Time”, TMF, 135:2 (2003), 331–337; Theoret. and Math. Phys., 135:2 (2003), 727–732
Citation in format AMSBIB
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\transl
\jour Theoret. and Math. Phys.
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\vol 135
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\pages 727--732
\crossref{https://doi.org/10.1023/A:1023634918946}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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