On the Discrete Spectrum in a Quantum-mechanical Nonrelativistic Problem with a Cornell-type Potential in Imaginary Lobachevsky Space

A comparative analysis of the results on the motion of a non-relativistic particle in a Cornell potential in a quantum mechanical problem for real and imaginary Lobachevsky spaces is conducted. Based on numerical calculations, it is established that, unlike in the case of real space, for identical parameter values, a discrete spectrum is absent in imaginary space. An example of a set of parameters for which a discrete spectrum exists is given.