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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1971 Volume 8, Number 1, Pages 61–72 (Mi tmf4385)

This article is cited in 15 papers

Quasipotential equation for a relativistic harmonic oscillator

A. D. Donkov, V. G. Kadyshevskii, M. D. Matveev, R. M. Mir-Kassimov


Abstract: 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.

Received: 14.09.1970


 English version:
Theoretical and Mathematical Physics, 1971, 8:1, 673–681


© Steklov Math. Inst. of RAS, 2024