On the (2+1)-dimensional Dirac equation in a constant magnetic field with a minimal length uncertainty
arXiv:1412.1425 · doi:10.1142/S0218271815500169
Abstract
We exactly solve the (2+1)-dimensional Dirac equation in a constant magnetic field in the presence of a minimal length. Using a proper ansatz for the wave function, we transform the Dirac Hamiltonian into two 2-dimensional non-relativistic harmonic oscillator and obtain the solutions without directly solving the corresponding differential equations which are presented by Menculini et al. [Phys. Rev. D 87, 065017 (2013)]. We also show that Menculini et al. solution is a subset of the general solution which is related to the even quantum numbers.
11 pages, no figure
References in corpus (7)
- Infrared spectroscopy of Landau levels in graphene
- The effects of minimal length and maximal momentum on the transition rate of ultra cold neutrons in gravitational field
- Hydrogen-atom spectrum under a minimal-length hypothesis
- Minimal Length Uncertainty Relation and gravitational quantum well
- Interpretation of Quantum Field Theories with a Minimal Length Scale
- Corrections to the ns-levels of hydrogen atom in deformed space with minimal length
- Scattering problem in deformed space with minimal length