Nonrelativistic Quantum Mechanical Problem for the Cornell Potential in Lobachevsky Space

Autor: Laszlo Jenkovszky, Yurii Andreevich Kurochkin, N. D. Shaikovskaya, Vladimir Olegovich Soloviev
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Universe, Vol 10, Iss 2, p 76 (2024)
Druh dokumentu: article
ISSN: 2218-1997
DOI: 10.3390/universe10020076
Popis: In Friedmann–Lobachevsky space-time with a radius of curvature slowly varying over time, we study numerically the problem of motion of a particle moving in the Cornell potential. The mass of the particle is taken to be a reduced mass of the charmonium system. In contrast to the similar problem in flat space, in Lobachevsky space the Cornell potential has a finite depth and, as a consequence, the number of bound states of the system is finite and motion with a continuum energy spectrum is also possible. In this paper, we study the bound states as well as the scattering states of the system.
Databáze: Directory of Open Access Journals
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