Generalized relativistic harmonic oscillator in minimal length quantum mechanics
High Energy Physics - Theory
2017-06-20 v2 Mathematical Physics
math.MP
Quantum Physics
Abstract
We solve the generalized relativistic harmonic oscillator in 1+1 dimensions in the presence of a minimal length. Using the momentum space representation, we explore all the possible signs of the potentials and discuss their bound-state solutions for fermion and antifermions. Furthermore, we also find an isolated solution from the Sturm-Liouville scheme. All cases already analyzed in the literature, are obtained as particular cases.
Keywords
Cite
@article{arxiv.1612.01552,
title = {Generalized relativistic harmonic oscillator in minimal length quantum mechanics},
author = {Luis B. Castro and Angel E. Obispo},
journal= {arXiv preprint arXiv:1612.01552},
year = {2017}
}
Comments
12 pages