SU(1,1) solutions for the relativistic quantum particle in cosmic string spacetime
Ozlem Yesiltas
TL;DR
This paper derives exact solutions to the Dirac equation for a relativistic electron in cosmic string spacetime with magnetic and scalar potentials, utilizing SU(1,1) Lie algebra methods.
Contribution
It introduces a novel application of SU(1,1) Lie algebra to solve the Dirac equation in a cosmic string background with specific potentials.
Findings
Exact solutions for the Dirac equation in cosmic string spacetime obtained.
Demonstrates the utility of SU(1,1) algebra in relativistic quantum problems.
Provides insights into electron behavior in topologically non-trivial spacetimes.
Abstract
We have studied a relativistic electron in the presence of a uniform magnetic field and scalar potential in the cosmic string spacetime. The exact solutions of the Dirac equation with a Coulomb-like scalar potential and linear vector potential through the gravitational fields are found using SU(1,1) Lie algebras.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsBlack Holes and Theoretical Physics · Nonlinear Waves and Solitons · Advanced Differential Geometry Research