Quantum Hamiltonian and Spectrum of Schrödinger Equation with Companied Harmonic Oscillator Potential and its Inverse in Both Three Dimensional Non-commutative Real Space and Phase

Maireche, Abdelmadjid

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Title	Quantum Hamiltonian and Spectrum of Schrödinger Equation with Companied Harmonic Oscillator Potential and its Inverse in Both Three Dimensional Non-commutative Real Space and Phase
Authors	Maireche, Abdelmadjid
ORCID
Keywords	The isotropic harmonic oscillator plus inverse quadratic potential and non-commutative spacephase Boopp’s shift method Schrödinger equation
Type	Article
Date of Issue	2015
URI	http://essuir.sumdu.edu.ua/handle/123456789/43215
Publisher	Sumy State University
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Citation	Maireche A. Quantum Hamiltonian and Spectrum of Schrödinger Equation with Companied Harmonic Oscillator Potential and its Inverse in Both Three Dimensional Non-commutative Real Space and Phase [Текст] / A. Maireche // Журнал нано- та електронної фізики. — 2015. — Т.7, №4. — 04021-1.
Abstract	In present search, we have studied the effect of the both non commutativity of three dimensional space and phase on the Schrödinger equation with companied Harmonic oscillator potential and it’s inverse, know by isotopic Harmonic oscillator plus inverse quadratic (h.p.i.) potential, we shown that the Hermitian NC Hamiltonian formed anisotropic operator and described many physics phenomena’s, we have also derived the exact degenerated spectrum for studied potential in the first order of two infinitesimal parameters  and  associated for noncommutative space and phase, respectively.
Appears in Collections:	Журнал нано- та електронної фізики (Journal of nano- and electronic physics)