Charged particle in a flat box with static electromagnetic field and Landau's levels
arXiv:2004.00388 · doi:10.4236/jmp.2020.1110106
Abstract
We study the quantization of the motion of a charged particle without spin inside a flat box under a static electromagnetic field. Contrary to Landau's solution with constant magnetic field transverse to the box, we found a non separable variables solution for the wave function, and this fact remains when static electric field is added. However, the Landau's Levels appear in all cases.
arXiv comment12 pages, 3 figures
References in corpus (10)
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Anyons in an exactly solved model and beyond
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Mott physics and band topology in materials with strong spin-orbit interaction
- Antiferromagnetic topological insulators
- Topological Anderson Insulator
- Theory of the topological Anderson insulator
- Numerical study of the topological Anderson insulator in HgTe/CdTe quantum wells
- A modular functor which is universal for quantum computation