Geodesic
Second-order equations for fermions on Schwarzschild,
Teoretičeskaâ i matematičeskaâ fizika, Tome 197 (2018) no. 3, pp. 493-509

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We obtain relativistic self-adjoint second-order equations for fermions in Schwarzschild, Reissner–Nordström, Kerr, and Kerr–Newman gravitational and electromagnetic fields. Second-order equations with effective potentials and spinor wave functions extend opportunities for obtaining regular solutions of quantum mechanics equations for spin-$1/2$ particles.
Mots-clés : Dirac equation
Keywords: self-adjoint second-order equation, spinor wave function, effective potential. 
@article{TMF_2018_197_3_a10,
     author = {V. P. Neznamov},
     title = {Second-order equations for fermions on {Schwarzschild,}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {493--509},
     publisher = {mathdoc},
     volume = {197},
     number = {3},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2018_197_3_a10/}
}
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V. P. Neznamov. Second-order equations for fermions on Schwarzschild,. Teoretičeskaâ i matematičeskaâ fizika, Tome 197 (2018) no. 3, pp. 493-509. http://geodesic.mathdoc.fr/item/TMF_2018_197_3_a10/