Geodesic
Radial quasipotential equation for a~fermion and antifermion and infinitely rising central potentials
Teoretičeskaâ i matematičeskaâ fizika, Tome 51 (1982) no. 2, pp. 201-210

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Radial equations for a system consisting of a fermion and an antifermion are derived in the quasipotential approach, and the asymptotic behavior of the radial wave functions in the limit $r\to\infty$ for infinitely rising central quasipotentials is investigated. The analogy with the Dirac equation in an external field is studied and it is shown that a confinement type solution is realized only in the presence of a scalar potential. A picture closest to that of the Schrödinger equation is realized if the quasipotential is an equal mixture of a scalar and the fourth component of a vector. The behavior near pole singularities is also investigated. 
@article{TMF_1982_51_2_a5,
     author = {A. A. Khelashvili},
     title = {Radial quasipotential equation for a~fermion and antifermion and infinitely rising central potentials},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {201--210},
     publisher = {mathdoc},
     volume = {51},
     number = {2},
     year = {1982},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1982_51_2_a5/}
}
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A. A. Khelashvili. Radial quasipotential equation for a~fermion and antifermion and infinitely rising central potentials. Teoretičeskaâ i matematičeskaâ fizika, Tome 51 (1982) no. 2, pp. 201-210. http://geodesic.mathdoc.fr/item/TMF_1982_51_2_a5/