Analysis of the interaction of an electron with radial electric fields in the presence of a disclination
arXiv:1908.09448 · doi:10.1142/S021988781950172X
Abstract
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.
arXiv comment13 pages, no figures, Accepted for publication IJGMMP
References in corpus (16)
- Landau Levels in the Presence of Topological Defects
- Topological Phases in Graphitic Cones
- Towards a quantum Hall effect for atoms using electric fields
- Landau Quantization of Neutral Particles in an External Field
- Landau Levels Analog to Electric Dipole
- Landau quantization for a neutral particle in presence of topological defects
- Geometric Phase for Neutral Particle in the Presence of a Topological Defect
- WKB analysis of edge states in graphene in a strong magnetic field
- Landau quantization, Aharonov-Bohm effect and two-dimensional pseudoharmonic quantum dot around a screw dislocation
- 2DEG on a cylindrical shell with a screw dislocation
- Semiclassical Calculation of the C Operator in PT-Symmetric Quantum Mechanics
- Beyond the WKB approximation in PT-symmetric quantum mechanics
- Coulomb impurity under magnetic field in graphene: a semiclassical approach
- Centrifugal terms in the WKB approximation and semiclassical quantization of hydrogen
- Quantum behavior of a charged particle in an axial magnetic field
- A semiclassical treatment of the interaction of non-uniform electric fields with the electric quadrupole moment of a neutral particle