Lattice oscillator model on noncommutative space: eigenvalues problem for the perturbation theory
High Energy Physics - Theory
2019-04-11 v3
Abstract
Harmonic oscillator in noncommutative two dimensional lattice are investigated. Using the properties of non-differential calculus and its applications to quantum mechanics, we provide the eigenvalues and eigenfunctions of the corresponding Hamiltonian. First we consider the case of ordinary quantum mechanics, and we point out the thermodynamic properties of the model. Then we consider the same question when both coordinates and momentums are noncommutative.
Keywords
Cite
@article{arxiv.1708.00655,
title = {Lattice oscillator model on noncommutative space: eigenvalues problem for the perturbation theory},
author = {Dine Ousmane Samary and Sêcloka Lazare Guedezounme and Antonin Danvidé Kanfon},
journal= {arXiv preprint arXiv:1708.00655},
year = {2019}
}
Comments
12 pages