Geodesic
Quasipotential equation for a~relativistic harmonic oscillator
Teoretičeskaâ i matematičeskaâ fizika, Tome 8 (1971) no. 1, pp. 61-72

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In the framework of the quasipotential approach, a study is made of a relativistic generalization of the exactly solvable problem of an harmonic oscillator. Quasipotential wave equations are constructed in the form of expansions with respect to the wave functions of the corresponding nonrelativistic problem. Relativistic corrections to the energy levels are obtained. 
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     title = {Quasipotential equation for a~relativistic harmonic oscillator},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     number = {1},
     year = {1971},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1971_8_1_a6/}
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A. D. Donkov; V. G. Kadyshevskii; M. D. Matveev; R. M. Mir-Kassimov. Quasipotential equation for a~relativistic harmonic oscillator. Teoretičeskaâ i matematičeskaâ fizika, Tome 8 (1971) no. 1, pp. 61-72. http://geodesic.mathdoc.fr/item/TMF_1971_8_1_a6/