On some quantum correction to the Coulomb potential in generalized uncertainty principle approach

Autor: M. Baradaran, L.M. Nieto, S. Zarrinkamar
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Physics Letters B, Vol 852, Iss , Pp 138603- (2024)
Druh dokumentu: article
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2024.138603
Popis: Taking into account the importance of the unified theory of quantum mechanics and gravity, and the existence of a minimal length of the order of the Planck scale, we consider a modified Schrödinger equation resulting from a generalized uncertainty principle, which finds applications from the realm of quantum information to large-scale physics, with a quantum mechanically corrected gravitational interaction proposed very recently. As the resulting equation cannot be solved by common exact approaches, we propose a Bethe ansatz approach, which will be applied and whose results we will discuss, commenting on the analogy of the present study with some other interesting physical problems.
Databáze: Directory of Open Access Journals