The Application of Minimal Length in Klein-Gordon Equation with Hulthen Potential Using Asymptotic Iteration Method

Autor: Isnaini Lilis Elviyanti, Beta Nur Pratiwi, A. Suparmi, C. Cari
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Advances in Mathematical Physics, Vol 2018 (2018)
Druh dokumentu: article
ISSN: 1687-9120
1687-9139
DOI: 10.1155/2018/9658679
Popis: The application of minimal length formalism in Klein-Gordon equation with Hulthen potential was studied in the case of scalar potential that was equal to vector potential. The approximate solution was used to solve the Klein-Gordon equation within the minimal length formalism. The relativistic energy and wave functions of Klein-Gordon equation were obtained by using the Asymptotic Iteration Method. By using the Matlab software, the relativistic energies were calculated numerically. The unnormalized wave functions were expressed in hypergeometric terms. The results showed the relativistic energy increased by the increase of the minimal length parameter. The unnormalized wave function amplitude increased for the larger minimal length parameter.
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