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JOURNALS // Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics) // Archive

PFMT, 2022 Issue 4(53), Pages 43–45 (Mi pfmt874)

PHYSICS

Exact solutions of the two-dimensional Logunov–Tavkhelidze equation with some analogues of the harmonic oscillator potential in the momentum representation

A. V. Paulenko, Yu. A. Grishechkin

Francisk Skorina Gomel State University

Abstract: The exact solutions of the two-dimensional Logunov–Tavkhelidze equation which describes the bound states of systems of two scalar particles of the equivalent mass for some variants of the relativistic generalization of the harmonic oscillator potential are obtained in the momentum representation.

Keywords: two-dimensional Logunov–Tavkhelidze equation, partial wave function, bound states, harmonic oscillator, twodimensional momentum representation.

UDC: 539.12.01

Received: 02.11.2022

DOI: 10.54341/20778708_2022_4_53_43



© Steklov Math. Inst. of RAS, 2026