Approximate Relativistic Solutions for a New Ring-Shaped Hulthén Potential

Ikhdair, Sameer M.; Hamzavi, Majid

doi:10.5560/zna.2012-0109

Cited by 8 publications

(5 citation statements)

References 43 publications

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“…Napolitano et al have presented the analysis of expanded stellar kinematics of elliptical galaxies where a Yukawa-like correction to the Newtonian gravitational potential derived from f (R)-gravity is investigated as an alternative to dark matter in cosmological models [51]. Recently, a new other form of the Yukawa-like have been used by Ikhdair et al by solution of the Klein-Gordon equation for a particle and anti-particle [52].…”

Section: Introductionmentioning

confidence: 99%

Yukawa-like confinement potential of a scalar particle in a Gödel-type spacetime with any l

Eshghi

Hamzavi

2018

Eur. Phys. J. C

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In this paper, we investigate the behavior of a scalar particle within the Yukawa-like potential in a Gödel-type space-time for any l. The behavior of a spinless particle is analyzed in the presence of a topological defect with analytical solutions to the Klein-Gordon equation. By using the generalized series and Nikiforov-Uvarof (NU) methods, we deduce the energy eigenvalues and eigenfunctions. We have discussed on the obtained results.

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Section: Introductionmentioning

confidence: 99%

Yukawa-like confinement potential of a scalar particle in a Gödel-type spacetime with any l

Eshghi

Hamzavi

2018

Eur. Phys. J. C

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“…Various approaches to this problem have been considered over the years, as has the calculation of energy levels for a superposition of a Coulomb potential and a Yukawa potential (the Hellmann potential) [35][36][37][38][39][40][41][42][43]. The most accurate results reported to date are those of Ref.…”

Section: New Physics Level Shiftsmentioning

confidence: 99%

Probing new physics using Rydberg states of atomic hydrogen

Jones

Potvliege²,

Spannowsky

2020

Phys. Rev. Research

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We consider the role of high-lying Rydberg states of simple atomic systems such as 1 H in setting constraints on physics beyond the Standard Model. We obtain highly accurate bound states energies for a hydrogen atom in the presence of an additional force carrier (the energy levels of the Hellmann potential). These results show that varying the size and shape of the Rydberg state by varying the quantum numbers provides a way to probe the range of new forces. By combining these results with the current state-of-the-art QED corrections, we determine a robust global constraint on new physics that includes all current spectroscopic data in hydrogen. Lastly we show that improved measurements that fully exploit modern cooling and trapping methods as well as higher-lying states could lead to a strong, statistically robust global constraint on new physics based on laboratory measurements only.

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“…As wellknown, there are several traditional techniques used to solve Schrödinger-like differential equation 1 E-mail: sikhdair@neu.edu.tr; sikhdair@gmail.com. 2 E-mail: fbjames11@physicist.net 3 E-mail: adegrace@physicist.net with various quantum potentials [1,2,3,4,5,6]. Few of these mothods include the asymptotic iteration method (AIM) [7,8], the Nikiforov-Uvarov (NU) method [9,10,11,12].…”

Section: Introductionmentioning

confidence: 99%

“…with various quantum potentials [1,2,3,4,5,6]. Few of these mothods include the asymptotic iteration method (AIM) [7,8], the Nikiforov-Uvarov (NU) method [9,10,11,12].…”

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Approximate analytical solutions to relativistic and nonrelativistic Pöschl–Teller potential with its thermodynamic properties

Ikhdair

Falaye

2013

Chemical Physics

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We apply the asymptotic iteration method (AIM) to obtain the solutions of Schrödinger equation in the presence of Pöschl-Teller (PT) potential. We also obtain the solutions of Dirac equation for the same potential under the condition of spin and pseudospin (p-spin) symmetries. We show that in the nonrelativistic limits, the solution of Dirac system converges to that of Schrödinger system. Rotational-Vibrational energy eigenvalues of some diatomic molecules are calculated. Some special cases of interest are studied such as S-wave case, reflectionless-type potential and symmetric hyperbolic PT potential. Furthermore, we present a high temperature partition function in order to study the behavior of the thermodynamic functions such as the vibrational mean energy U , specific heat C, free energy F and entropy S.

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Approximate Relativistic Solutions for a New Ring-Shaped Hulthén Potential

Cited by 8 publications

References 43 publications

Yukawa-like confinement potential of a scalar particle in a Gödel-type spacetime with any l

Yukawa-like confinement potential of a scalar particle in a Gödel-type spacetime with any l

Probing new physics using Rydberg states of atomic hydrogen

Approximate analytical solutions to relativistic and nonrelativistic Pöschl–Teller potential with its thermodynamic properties

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