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International Letters of Chemistry, Physics and Astronomy
Volume 60

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A New Approach to the Non Relativistic Schrödinger Equation for an Energy-Depended Potential V(r,En,l)=V0(1+ηEn,l)r2 in both Noncommutative Three Dimensional Spaces and Phases

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Abstract:

In present work we study the 3-dimensional non relativistic and noncommutative space-phase Schrödinger equation for modified potential (see formula in paper) depends on energy and quadratic on the relative distance, we have obtained the exact modified bound-states solutions. It has been observed that, the energy spectra in ordinary quantum mechanics was changed, and replaced by degenerate new states, depending on new discreet quantum numbers:n, l, j and s=±1/2 . We show the noncommutative new anisotropic Hamiltonian containing two new important terms, the first new term describe the spin-orbit interaction while the second describes the modified Zeeman effect.

Info:

Periodical:
International Letters of Chemistry, Physics and Astronomy (Volume 60)
Pages:
11-19
DOI:
10.18052/www.scipress.com/ILCPA.60.11
Citation:
A. Maireche "A New Approach to the Non Relativistic Schrödinger Equation for an Energy-Depended Potential V(r,En,l)=V0(1+ηEn,l)r2 in both Noncommutative Three Dimensional Spaces and Phases", International Letters of Chemistry, Physics and Astronomy, Vol. 60, pp. 11-19, 2015
Online since:
Sep 2015
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