Year: 2024 | Month: November | Volume: 11 | Issue: 11 | Pages: 58-68
DOI: https://doi.org/10.52403/ijrr.20241108
Theoretical Study of Position-Dependent Mass Particle in Cosmic String Space-Time and External Magnetic Field
Suci Faniandari1, Dhani Nur Indra Syamputra1, Muhammad Fahmi1, Erik Bhekti Yuwono1, Oki Ade Putra1
1Department of Physics, Faculty of Science and Mathematics, Diponegoro University, Semarang, Indonesia.
Corresponding Author: Suci Faniandari
ABSTRACT
In this work, we discuss the case of a non-relativistic quantum particle in the cosmic string space-time under the influence of the presence of external magnetic and exponential potential. It’s shown with the help of the Laplace transform method the second-order differential equation of the Schrodinger equation is solvable where it is reduced to a first-order differential equation. We obtain the eigenfunction and the non-relativistic energy spectrum. In addition, these results may be useful in the future study of thermodynamic, optic, and magnetic properties of the atomic interaction of a system particle.
Keywords: Schrodinger equation; Laplace transform method; Position dependent mass; External magnetic field; Cosmic string
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