Global monopole effects on exact s-state solution under trigonometric Pöschl–Teller potential
Faizuddin Ahmed, Abdelmalek Bouzenada, A. R. P. Moreira
Abstract
In this paper, we address into the quantum dynamics of quantum particles interacting with a trigonometric potential within the context of a space-time background featuring a point-like global monopole. Our aim is to derive exact s-states eigenvalue solutions. To achieve this, we first derive the angular and radial wave equations of the Schrödinger equation within this particular geometry, considering Pöschl–Teller potential. While the angular solutions are well-known, the radial wave equation necessitates the utilisation of special functions for its solution. Our analysis demonstrates that the presence of the global monopole induces modifications in both the exact energy eigenvalues and the corresponding wave functions of quantum particles. Consequently, these modifications deviate from the behaviour typically observed in flat space when considering this potential. Afterwards, we compute Shannon entropy for this quantum systems and show the influences of various parameters.