A New Study to the Schrödinger Equation for Modified Potential V(r)=ar2+br-4+cr-6 in Nonrelativistic Three Dimensional Real Spaces and Phases

Maireche, Abdelmadjid

doi:10.18052/www.scipress.com/ILCPA.61.38

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A New Study to the Schrödinger Equation for Modified Potential V(r)=ar²+br^-4+cr^-6 in Nonrelativistic Three Dimensional Real Spaces and Phases

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Abstract:

In present work, by applying Boopp’s shift method and standard perturbation theory we have generated exact nonrelativistic bound states solution for a modified potential (see formula in paper) in both three dimensional noncommutative space and phase (NC: 3D-RSP) at first order of two two infinitesimal parameters antisymmetric (see formula in paper), we have also derived the corresponding noncommutative Hamiltonian.

Info:

Periodical:

International Letters of Chemistry, Physics and Astronomy (Volume 61)

Pages:

38-48

DOI:

https://doi.org/10.18052/www.scipress.com/ILCPA.61.38

Citation:

A. Maireche, "A New Study to the Schrödinger Equation for Modified Potential V(r)=ar²+br^-4+cr^-6 in Nonrelativistic Three Dimensional Real Spaces and Phases", International Letters of Chemistry, Physics and Astronomy, Vol. 61, pp. 38-48, 2015

Online since:

November 2015

Authors:

Abdelmadjid Maireche

Keywords:

Anharmonic Potential, Boopp’s Shift Method, Harmonic Potential, Noncommutative Phase, Noncommutative Space, Schrödinger Equation, Star Product

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Open Access

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Creative Commons Attribution 4.0 International License

References:

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Cited By:

[1] A. Maireche, "A New Nonrelativistic Investigation for Interactions in One-Electron Atoms With Modified Inverse-Square Potential: Noncommutative Two and Three Dimensional Space Phase Solutions at Planck’s and Nano-Scales", Journal of Nanomedicine Research, Vol. 4, 2016

DOI: https://doi.org/10.15406/jnmr.2016.04.00090

[2] A. Maireche, "Investigations on the Relativistic Interactions in One-Electron Atoms with Modified Anharmonic Oscillator", Journal of Nanomedicine Research, Vol. 4, 2016

DOI: https://doi.org/10.15406/jnmr.2016.04.00097