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arXiv · 1708.00655

Lattice oscillator model on noncommutative space: eigenvalues problem for the perturbation theory

Dine Ousmane Samary·Sêcloka Lazare Guedezounme·Antonin Danvidé Kanfon
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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.

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Dine Ousmane Samary, Sêcloka Lazare Guedezounme, Antonin Danvidé Kanfon. 2019-04-10. Lattice oscillator model on noncommutative space: eigenvalues problem for the perturbation theory. https://doi.org/10.1007/s13538-019-00655-8

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