Non-relativistic energy analysis of the pauli equation for the Pöschl-teller potential under the influence of the Aharonov-Bohm flux
Muhammad Adi Kusuma, Suci Faniandari, Jeriko Panjaitan +2 more
The hyperbolic Pöschl-Teller provides an analytically tractable model for studying bound states and represents an exactly solvable quantum system. However, the solvability of this system under the influence of an Aharonov-Bohm (AB) flux, and particularly for spin particles governed by the Pauli equation, remains largely unexplored within this framework. The present study bridges this gap by formulating and solving the Pauli equation for spin particles in cylindrical coordinates by applying a hyperbolic Pöschl-Teller potential with an Aharonov-Bohm flux field. Using the Hypergeometric method and variable separation, we derive the explicit quantization conditions that determine the energy spectrum. Key findings reveal spin-dependent energy shifts due to the interaction between the particle’s intrinsic magnetic moment and the AB flux field. Our work not only expands the study of analytically solvable quantum models but also highlights the intrinsic particle behavior arising from spin-field interactions in non-trivial geometries.
AIP conference proceedings•Jan 1, 2026•0 citations