Nonlinear Phenomena in Complex Systems, 2024, Vol.27, No.4, pp.410

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2024, Vol.27, No.4, pp.410 - 414

Simulation of Short-range Interaction by Means of Composition of Pseudoharmonic Potentials

V. V. Kudryashov and A. V. Baran

The spherically symmetric short-range interaction for the physical system with a finite number of bound states is simulated with the help of smooth confinement potential of new type which is constructed by means of composition of pseudoharmonic potentials. The exact wave functions and energy levels are found. The dependence of energy spectrum on potential parameters is investigated.

Key words: composition of pseudoharmonic potentials, radial wave functions, energy levels

DOI: https://doi.org/10.5281/zenodo.14512126

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