Exact Solutions of Effective-Mass Dirac-Pauli Equation with an Electromagnetic Field
Altug Arda, Ramazan Sever
TL;DR
This paper derives exact bound state solutions for the Dirac-Pauli equation with a position-dependent mass in a specific electric field using the Nikiforov-Uvarov method, providing closed-form solutions.
Contribution
It presents the first exact solutions of the Dirac-Pauli equation with a position-dependent mass in a shifted inverse linear electric field.
Findings
Closed-form bound state solutions obtained
Solutions applicable to specific electric field configurations
Method demonstrates effectiveness for similar quantum systems
Abstract
The exact bound state solutions of the Dirac-Pauli equation are studied for an appropriate position-dependent mass function by using the Nikiforov-Uvarov method. For a central electric field having a shifted inverse linear term, all two kinds of solutions for bound states are obtained in closed forms.
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