https://doi.org/10.1140/epjp/s13360-019-00040-z
Regular Article
Solutions of Klein–Gordon equation with Mie-type potential via the Laplace transforms
Department of Physics, Islamic Azad University, North Tehran Branch, Tehran, 1651153311, Iran
* e-mail: smirabotalebi@gmail.com
Received:
23
July
2019
Accepted:
24
September
2019
Published online:
7
January
2020
A study is undertaken to derive the exact solutions of the Klein–Gordon with the Mie-type potential in the presence of the nonzero space component of a vector potential field. The wave functions and the energy spectrum are derived via the Laplace transformation method and by assuming equal scalar and time component of the vector potential. The Mie-type potential describes four different types of potential at the same time. The energy spectrum separately is obtained for each potential, and an estimation of the most general case is introduced.
© Società Italiana di Fisica (SIF) and Springer-Verlag GmbH Germany, part of Springer Nature, 2020
