Nonlinear Phenomena in Complex Systems, 2025, Vol.28, No.4, pp.349

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2025, Vol.28, No.4, pp.349 - 354

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

Yu. A. Kurochkin and N. D. Shaikovskaya

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.

Key words: imaginary Lobachevsky space, Cornell potential, discrete eigenstates

DOI: https://doi.org/10.5281/zenodo.17949742

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