(2 +1)-dimensional Duffin-Kemmer-Petiau oscillator under a magnetic field in the presence of a minimal length in the noncommutative space
arXiv:1706.04298
Abstract
Using the momentum space representation, we study the (2 +1)-dimensional Duffin-Kemmer-Petiau oscillator for spin 0 particle under a magnetic field in the presence of a minimal length in the noncommutative space. The explicit form of energy eigenvalues are found, the wave functions and the corresponding probability density are reported in terms of the Jacobi polynomials. Additionally, we also discuss the special cases and depict the corresponding numerical results.
References in corpus (8)
- Hydrogen-atom spectrum under a minimal-length hypothesis
- Minimal Length Uncertainty Relation and gravitational quantum well
- The Big-Bang Singularity in the framework of a Generalized Uncertainty Principle
- Quantum Dynamics of the Taub Universe in a Generalized Uncertainty Principle framework
- On the modification of Hamiltonians' spectrum in gravitational quantum mechanics
- Scattering problem in deformed space with minimal length
- Newton equation for canonical, Lie-algebraic and quadratic deformation of classical space
- Effects of the Modified Uncertainty Principle on the Inflation Parameters