2019/08/26 by Knut Bakke, Claudio Furtado · 18 citations
Mathematics · Physics and Astronomy · #Bound state #Disclination #Electric charge #Electric field #Electric potential #Electron #Quantum Mechanics and Non-Hermitian Physics #Quantum and Classical Electrodynamics #Spectral Theory in Mathematical Physics #Topological defect #WKB approximation #cond-mat.mes-hall #hep-th #quant-ph
paper · pdf · doi:10.1142/s021988781950172x
published in International Journal of Geometric Methods in Modern Physics 16(11), 1950172 (World Scientific) · 13 pages, no figures, Accepted for publication IJGMMP
arxiv created 2019/08/26 · openalex publication_date 2019/08/28 · openalex created_date 2019/08/29 · arxiv updated 2020/01/08 · openalex updated_date 2026/08/05
We consider an elastic medium with a disclination and investigate the topological effects on the interaction of a spinless electron with radial electric fields through the WKB (Wentzel, Kramers, Brillouin) approximation. We show how the centrifugal term of the radial equation must be modified due to the influence of the topological defect in order that the WKB approximation can be valid. Then, we search for bound states solutions from the interaction of a spinless electron with the electric field produced by this linear distribution of electric charges. In addition, we search for bound states solutions from the interaction of a spinless electron with radial electric field produced by uniform electric charge distribution inside a long non-conductor cylinder.