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

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.