A New Theoretical Study of Quantum Atomic Energy Spectra for Lowest Excited States of Central (PIHOIQ) Potential in Noncommutative Spaces and Phases Symmetries at Plan’s and Nanoscales

Maireche, Abdelmadjid

doi:10.21272/jnep.8(2).02027

Cited by 12 publications

(12 citation statements)

References 12 publications

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“…potential in (NC: 3D-RS) using the generalization Boopp's shift method to discover the new symmetries and a possibility to obtain another applications to this potential in different fields. This work based essentially on our previously works [39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58]. The organization scheme of the study is given as follows: In next section, we briefly review the Dirac equation with Mie-type potential on based to Refs.…”

Section: (32)mentioning

confidence: 99%

A New Relativistic Study for Interactions in One-electron atoms (Spin ½ Particles) with Modified Mie-type Potential

Maireche¹

2016

J. Nano- Electron. Phys.

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In this paper, we present a novel theoretical analytical perform further investigation for the exact solvability of relativistic quantum spectrum systems for modified Mie-type potential (m.m.t.) potential is discussed for spin-1/2 particles by means Boopp's shift method instead to solving deformed Dirac equation with star product, in the framework of noncommutativity three dimensional real space (NC: 3D-RS). The exact corrections for excited th n states are found straightforwardly for interactions in one-electron atoms by means of the standard perturbation theory. Furthermore, the obtained corrections of energies are depended on four infinitesimal parameter  ,which induced by position-position noncommutativity, in addition to the discreet atomic quantum numbers: 1 / 2, 1 / 2, j l s l     and m (the angular momentum quantum number) and we have also shown that, the usual states in ordinary two and three dimensional spaces are canceled and has been replaced by new degenerated   2 2 1 l  sub-states in the new quantum symmetries of (NC: 3D-RS) and we have also applied our obtained results to the case of modified Krazer-Futes potential.

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Section: (32)mentioning

confidence: 99%

A New Relativistic Study for Interactions in One-electron atoms (Spin ½ Particles) with Modified Mie-type Potential

Maireche¹

2016

J. Nano- Electron. Phys.

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“…In this paper we consider the case of only space-space non-commutativity, thus we are interest with the second variety (34) …”

Section: Review Of Dirac Equation For Kratzer-fues Potential In Ordinmentioning

confidence: 99%

A Novel Exactly Theoretical Solvable of Bound States of the Dirac-Kratzer-Fues Problem with Spin and Pseudo-Spin Symmetry

Maireche

2016

IFSL

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“…in ordinary three dimensional spaces [39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57]:…”

Section: Introductionmentioning

confidence: 99%

New Bound States for Modified Vibrational-Rotational Structure of Supersingular Plus Coulomb Potential of the Schrödinger Equation in One-Electron Atoms

Maireche

2017

ILCPA

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Keywords:The Vibrational-Rotational Structure of Supersingular plus Coulomb potential, noncommutative space and phase, star product and Boopp's shift method.Abstract. In this study, three-dimensional modified time-independent Schrödinger equation of modified vibrational-rotational structure of supersingular plus Coulomb (v.r.s.c) potential was solved using Boopp's shift method instead to apply star product, in the framework of both noncommutativity three dimensional real space and phase (NC: 3D-RSP). We have obtained the explicit energy eigenvalues for ground state and first excited state for interactions in one-electron atoms. Furthermore, the obtained corrections of energies are depended on infinitesimal parameterswhich are induced by position-position and momentum-momentum noncommutativity, respectively, in addition to the discreet atomic quantum numbers:and the angular momentum quantum number m . We have also shown that, the usual states in ordinary three dimensional spaces for ordinary vibrational-rotational structure of supersingular plus Coulomb potential are canceled and has been replaced by new degenerated   1 2 2  l sub-states in the extended new quantum symmetries of (NC: 3D-RSP).

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A New Theoretical Study of Quantum Atomic Energy Spectra for Lowest Excited States of Central (PIHOIQ) Potential in Noncommutative Spaces and Phases Symmetries at Plan’s and Nanoscales

Cited by 12 publications

References 12 publications

A New Relativistic Study for Interactions in One-electron atoms (Spin ½ Particles) with Modified Mie-type Potential

A New Relativistic Study for Interactions in One-electron atoms (Spin ½ Particles) with Modified Mie-type Potential

A Novel Exactly Theoretical Solvable of Bound States of the Dirac-Kratzer-Fues Problem with Spin and Pseudo-Spin Symmetry

New Bound States for Modified Vibrational-Rotational Structure of Supersingular Plus Coulomb Potential of the Schrödinger Equation in One-Electron Atoms

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