A new perturbation technique for eigenenergies of the screened coulomb potential

Dobrovolska, I. V.; Tutik, R. S.

doi:10.1109/mmet.2004.1397033

Cited by 2 publications

(2 citation statements)

References 5 publications

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“…Additionally, Dobrovolska and Tutik [15] studied the bound-state problem within the framework of the SE through the logarithmic perturbation theory. Recently, they also extended the formalism to the bound-state problem for spherical oscillator of type V 2 with its subsequent application to the doubly anharmonic oscillator [16]. Furthermore, a simple formalism [17] based on a suitable choice of the wave function ansatz has been proposed for reproducing exact bound-state energy eigenvalues and eigenfunctions for exactly solvable model within the framework of the SE.…”

Section: Introductionmentioning

confidence: 99%

An Alternative Simple Solution of the Sextic Anharmonic Oscillator and Perturbed Coulomb Problems

Ikhdair

Sever

2007

Int. J. Mod. Phys. C

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Utilizing an appropriate ansatz to the wave function, we reproduce the exact bound-state solutions of the radial Schrödinger equation to various exactly solvable sextic anharmonic oscillator and confining perturbed Coulomb models in D-dimensions. We show that the perturbed Coulomb problem with eigenvalue E can be transformed to a sextic anharmonic oscillator problem with eigenvalue E. We also check the explicit relevance of these two related problems in higher-space dimensions. It is shown that exact solutions of these potentials exist when their coupling parameters with k = D + 2ℓ appearing in the wave equation satisfy certain constraints.

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Section: Introductionmentioning

confidence: 99%

An Alternative Simple Solution of the Sextic Anharmonic Oscillator and Perturbed Coulomb Problems

Ikhdair

Sever

2007

Int. J. Mod. Phys. C

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“…Dobrovolska and Tutik [51] studied a bound-state problem through the logarithmic perturbation theory. They had also solved a bound-state problem for a spherical oscillator with its subsequent applications to the doubly anharmonic oscillator [52].…”

Section: Introductionmentioning

confidence: 99%

Energy eigenvalue spectra and applications of the sextic and the Coulomb perturbed potentials

Kumar

Bhardwaj²,

Singh

et al. 2022

Phys. Scr.

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Keeping in view the importance of the anharmonic potentials, closed-form solutions to the N-dimensional Schrödinger equation, for the Coulomb perturbed and the sextic potentials using the Nikiforov-Uvarov functional analysis and power series methods respectively, are investigated. Complete energy spectrum is obtained for both the potentials by invoking some restrictions on wave function parameters of the sextic potential and the Greene-Aldrich approximation for centrifugal term of the Coulomb perturbed potential. A relationship between energy eigenvalues of the two potentials is verified in higher dimensions. This study is further extended to find physical applications of both the potentials. The energy eigenvalues of the Coulomb perturbed potential are used to compute the mass spectra of five mesons viz c ̄c, b ̄b, b ̄c, c ̄s and c ̄q (where q = u, d). Within the framework of the sextic potential, Zr and Sn isotopic chains are analyzed and 96 Zr and 112 Sn isotopes have been identified as critical point nuclei. The results of this study are consistent with others similar studies.

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A new perturbation technique for eigenenergies of the screened coulomb potential

Cited by 2 publications

References 5 publications

An Alternative Simple Solution of the Sextic Anharmonic Oscillator and Perturbed Coulomb Problems

An Alternative Simple Solution of the Sextic Anharmonic Oscillator and Perturbed Coulomb Problems

Energy eigenvalue spectra and applications of the sextic and the Coulomb perturbed potentials

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