2016/11/11 by R. L. L. Vitória, K. Bakke · 54 citations
Physics and Astronomy · #Bound state #Coulomb #Four-momentum #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Non-Hermitian Physics #Relativistic particle #Relativistic quantum chemistry #Scalar (mathematics) #Spacetime #Torsion (gastropod) #gr-qc #quant-ph
paper · pdf · doi:10.1007/s10714-016-2156-9
published in General Relativity and Gravitation 48(12) (Springer Science+Business Media) · 13 pages
openalex publication_date 2016/11/11 · arxiv created 2016/11/18 · arxiv updated 2016/11/21 · openalex created_date 2016/11/30 · openalex updated_date 2026/08/05
We analyse a relativistic scalar particle with a position-dependent mass in a spacetime with a space-like dislocation by showing that relativistic bound states solutions can be achieved. Further, we consider the presence of the Coulomb potential and analyse the relativistic position-dependent mass system subject to the Coulomb potential in the spacetime with a space-like dislocation. We also show that a new set of relativistic bound states solutions can be obtained, where there also exists the influence of torsion of the relativistic energy levels. Finally, we investigate an analogue of the Aharonov-Bohm effect for bound states in this position-dependent mass in a spacetime with a space-like dislocation.