Analysis of nonrelativistic particles in noncommutative phase-space under new scalar and vector interaction terms

Safaei, A. A.; Panahi, H.; Hassanabadi, H.

doi:10.31349/revmexfis.67.84

Cited by 2 publications

(2 citation statements)

References 35 publications

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“…To the best of our knowledge, this new study of DSE with V hhp nc (r, T ) was not done before by any researcher. The structure of 3DNRQM-NCSP symmetries based on NC canonical commutations relations in (Schrödinger, Heisenberg and interactions) pictures (SP, HP and IP), respectively, as follows (throughout this article, the natural units c = = 1 will be applied) (see, e.g., [34][35][36][37][38][39][40][41]):…”

Section: Motivationmentioning

confidence: 99%

The Impact of deformed space-phase parameters into HAs and HLM systems with the improved Hulthen plus Hellmann potentials model in the presence of temperature-dependent confined Coulomb potential within the framework of DSE

Maireche

2022

Rev. Mex. Fís.

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In this work, the improved Hulthen plus Hellmann potentials model in the presence of temperature-dependent confined Coulomb potential ´ IHHPTd model is adopted as the quark-antiquark interaction potential for studying the mass spectra of heavy mesons in the three-dimensional nonrelativistic quantum mechanics noncommutative phase space (3DNRQm-NCSP) symmetries. In addition, we found another application for this potential through its description for hydrogen atoms He+, Li+2 and Be+. We solved the deformed Schrödinger equation analytically using the generalized Bopp’s shift method and standard perturbation theory. The new energy eigenvalues E (u,d)hy nc−n and (E hlm n−g, E hlm n−mand E hlm n−l ) for hydrogen atoms and heavy mesons such as charmonium cc and bottomonium cb and corresponding deformed Hamiltonian operators H nc hhp(r, Θ, θ, λ, λ, σ, σ, ²) and H nc hhp(r, Θ, θ, λ, λ, σ, σ, gs) were obtained, respectively. The present results are applied for calculating the new mass of heavy mesons. Four special cases were considered when some of the improved potential parameters were set to zero, resulting into improved Hellmann potential, improved Yukawa potential, improved Coulomb potential, and improved Hulthen potential, in ´ (3DNRQm-NCSP) symmetries. The limiting cases are analyzed for Θ, σ and χ −→ 0 are compared with those of literature.

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Section: Motivationmentioning

confidence: 99%

The Impact of deformed space-phase parameters into HAs and HLM systems with the improved Hulthen plus Hellmann potentials model in the presence of temperature-dependent confined Coulomb potential within the framework of DSE

Maireche

2022

Rev. Mex. Fís.

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“…The coupling L Θ equals L x Θ 12 + L y Θ 23 + L z Θ 13 , where L x , L y , and L z are the usual components of angular momentum operator L in RQM while the new noncommutativity parameter Θ µν equals θ µν /2. The new structure of (RNCQM) based on new covariant noncommutative canonical commutations relations (CNCCRs) in Schrödinger, Heisenberg and interactions pictures (SP, HP, and IP), respectively, as follows [36][37][38][39][40][41][42][43][44][45][46]:…”

Section: Introductionmentioning

confidence: 99%

A theoretical study of the modified equal scalar and vector Manning-Rosen potential within the deformed Klein-Gordon and Schrödinger in RNCQM and NRNCQM symmetries

Maireche

2021

Rev. Mex. Fís.

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In this research work, within the framework of relativistic and nonrelativistic noncommutative quantum mechanics, the deformed Klein–Gordon and Schrödinger equations were solved with the modified equal vector scalar Manning-Rosen potential that has been of signiﬁcance interest in recent years using Bopp's shift method and standard perturbation theory in the first-order in the noncommutativity parameters in 3-dimensions noncommutative quantum mechanics. By employing the improved approximation of the centrifugal term, the relativistic and nonrelativistic bound state energies were obtained for some diatomic molecules such as (HCl, CH, LiH, CO, NO, O2, I2, N2, H2, and Ar2). The obtained energy eigenvalues appear as a function of the generalized Gamma function, the parameters of noncommutativity, and the parameters of studied potential, in addition to the atomic quantum numbers . In both relativistic and nonrelativistic problems, we show that the corrections on the spectrum energy are smaller than the main energy in the ordinary cases of RQM and NRQM. A straightforward limit of our results to ordinary quantum mechanics shows that the present result is consistent with what is obtained in the literature. We have seen that the improved approximation of the centrifugal term is better than the other approximations in ﬁnding the approximate analytical solutions of the Klein-Gordon and Schrödinger equations for the modified Manning–Rosen potential in RNCQM and NRNCQM.

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Analysis of nonrelativistic particles in noncommutative phase-space under new scalar and vector interaction terms

Cited by 2 publications

References 35 publications

The Impact of deformed space-phase parameters into HAs and HLM systems with the improved Hulthen plus Hellmann potentials model in the presence of temperature-dependent confined Coulomb potential within the framework of DSE

The Impact of deformed space-phase parameters into HAs and HLM systems with the improved Hulthen plus Hellmann potentials model in the presence of temperature-dependent confined Coulomb potential within the framework of DSE

A theoretical study of the modified equal scalar and vector Manning-Rosen potential within the deformed Klein-Gordon and Schrödinger in RNCQM and NRNCQM symmetries

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