NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2024, Vol.27, No.3, pp.217 - 224

A Quantum-Mechanical Particle in a Cornell-Type Potential in Lobachevsky Space

Yu.A. Kurochkin, L. L. Jenkovszky, N. D. Shaikovskaya, and V. O. Soloviev

In a Friedmann–Lobachevsky space-time with a radius of curvature slowly varying i time, we study numerically a problem of motion of a scalar particle moving in Cornelltype potentials. Considering both non-relativistic and relativistic cases and two possible generalizations of the Cornell potential we investigate the possibilities to find solutions with the definite energy decaying fast enough at infinity.

Key words: Lobachevsky space, Cornell potential, bound state

DOI: https://doi.org/10.5281/zenodo.13960555

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