Geodesic
Supersymmetric generalization of Todorov's equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 64 (1985) no. 1, pp. 61-68 
R. P. Zaikov. Supersymmetric generalization of Todorov's equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 64 (1985) no. 1, pp. 61-68. http://geodesic.mathdoc.fr/item/TMF_1985_64_1_a6/
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     author = {R. P. Zaikov},
     title = {Supersymmetric generalization of {Todorov's} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {61--68},
     year = {1985},
     volume = {64},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1985_64_1_a6/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A supersymmetric generalization of the quasipotential equation in the Markov–Yukawa gauge is considered. Imposition of the supersymmetric Markov–Yukawa condition on the two-particle Bethe–Salpeter amplitude yields conditions that give the transition to a one-time wave function. For this wave function, a supersymmetric three-dimensional equation is written down. The Born term of the quasipotential is found for a selfinteracting chiral superfield, and also for interaction with a massless ehiral superfield.

[1] Zaikov R. P., Supersymmetric quasipotential equations. I: Supersymmetric Extension of the Logunov - Tavkhelidze approach, Preprint E2-81-666, JINR, Dubna, 1981

[2] Zaikov R. P., Supersymmetric quasipotential equations. II: Supersymmetric generalization of the equations on the light-front, Preprint E2-81-741, JINR, Dubna, 1981 | MR

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[5] Ogievetskii V. I., Mezinchesku L., UFN, 117:4 (1975), 637–681 | DOI | MR

[6] Matveev V. A., Muradyan R. N., Tavkhelidze A. N., Relativistically covariant equations for two particles in quantum field theory, Preprint E2-3498, JINR, Dubna, 1967

[7] Bogolyubov P. N., TMF, 5:2 (1970), 244–252

[8] Todorov I. T., Phys. Rev., D3:10 (1971), 2351–2360

[9] Kudinov V. A., Zaikov R. P., On one symmetry of the relativistic two-particle problem, Commun. E2-82-299, JINR, Dubna, 1982