2017
DOI: 10.4172/2572-0813.1000115
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New Exact Non-relativistic Energy Eigen Values for Modified Inversely Quadratic Hellmann Plus Inversely Quadratic Potential

Abstract: In this current research, the solutions of modified Schrödinger equation (MSE) are presented for two companied potentials namely: modified inversely quadratic Hellmann potential and modified inversely quadratic potential (MIHQP), using generalization of Bopp's shift method (instead to solving MSE with star product) and standard perturbation theory in extended quantum mechanics (EQM), we obtained modified Hamiltonian operator and corresponding modified eigenvalues in both three dimensional noncommutative space … Show more

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Cited by 3 publications
(4 citation statements)
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“…We now look at important special cases and relationships between our recent results and some other existing results in our previous work. When we set (A, B, C, D) equal (c, b, 0, a) the ITRMP model reduces to the modified quarkantiquark interaction potential [34], it is easy to show that equations ( 24), ( 53), ( 54), ( 55) and ( 62) are reduced to the modified interaction H nc qp , V nc qp (r) of a particle in the extended nonrelativistic quark-antiquark potential and corresponding NC spectrum (E uqp nc , E mqp nc , E lqp nc ), respectively [34]:…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…We now look at important special cases and relationships between our recent results and some other existing results in our previous work. When we set (A, B, C, D) equal (c, b, 0, a) the ITRMP model reduces to the modified quarkantiquark interaction potential [34], it is easy to show that equations ( 24), ( 53), ( 54), ( 55) and ( 62) are reduced to the modified interaction H nc qp , V nc qp (r) of a particle in the extended nonrelativistic quark-antiquark potential and corresponding NC spectrum (E uqp nc , E mqp nc , E lqp nc ), respectively [34]:…”
Section: Resultsmentioning
confidence: 99%
“…modified quark-antiquark interaction potential [34], extended modified Cornell potential [35], extended nonrelativistic quark model [36]. We have investigated a nonrelativistic bound state solution at finite temperature using the sum of modified Cornell plus inverse quadratic potential and modified Cornell potential [37,38].…”
Section: Motivationmentioning
confidence: 99%
“…can be rewritten to the equivalent physical form for 2D-modified sextic DWAO potential, we have make the same physics procedure in our previous works [38][39][40][41][42][43][44][45]:…”
Section: The Exact Spin-orbital Spectrum For 2d-modified Sextic Dwao Potential In Nc:2d-rsp) For One-electron Atomsmentioning
confidence: 99%
“…Another intriguing potential is inversely quadratic potential (IQP). The inversely quadratic potential has been used by Oyewumi and Bangudu [32] and several authors in the literature [33][34][35].…”
Section: Introductionmentioning
confidence: 99%