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

Guedezounme, S. L., Kanfon, A. D., & Ousmane Samary, D. (2019). Lattice oscillator model on noncommutative space, eigenvalues problem for the perturbation theory. Brazilian Journal of Physics, 49(3), 458-470. doi:10.1007/s13538-019-00655-8.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0000-74B2-4 Version Permalink: http://hdl.handle.net/21.11116/0000-0003-9F04-6
Genre: Journal Article

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 Creators:
Guedezounme, Sêcloka Lazare, Author
Kanfon, Antonin Danvidé, Author
Ousmane Samary, Dine1, Author              
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th
 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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 Dates: 2017-08-022019
 Publication Status: Published in print
 Pages: 17 pages
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 Rev. Method: -
 Identifiers: arXiv: 1708.00655
URI: http://arxiv.org/abs/1708.00655
DOI: 10.1007/s13538-019-00655-8
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Title: Brazilian Journal of Physics
Source Genre: Journal
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Pages: - Volume / Issue: 49 (3) Sequence Number: - Start / End Page: 458 - 470 Identifier: -