Exact solutions of the Schrödinger equation with a coulomb ring-shaped potential in the cosmic string spacetime

Wang, Zhi; Long, Zheng-Wen; Long, Chao-Yun; Teng, Jie

doi:10.1088/0031-8949/90/5/055201

Cited by 15 publications

(5 citation statements)

References 47 publications

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“…They have reported accidental degeneracy in some special cases. The angle-dependent ringshaped potential along with many radial coordinate dependent potentials have found new attraction in low-dimensional semiconductor systems [43][44][45][46]. A solution of the radial and angular parts of the Klein-Gordon equation for Pöschl-Teller double-ring-shaped Coulomb potential has been found by Hassanabadi et al [47].…”

Section: Introductionmentioning

confidence: 99%

Particle confined in modified ring-shaped potential

et al. 2020

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The spectrum of a particle confined in Hulthén plus ring-shaped potential is obtained by solving the time-independent Schrödinger equation numerically. The effect of potential parameters on various properties of the particle have been investigated in detail. The energy levels, radial matrix elements, oscillator strengths and polarizabilities of the particle have been found to show strong dependence on the confining potential parameters. The presence of the ring potential is found to appreciably alter the angular part of dipole matrix elements. Also, it is shown that the comparison theorem of Quantum Mechanics for energy eigenvalues for four different potentials, viz., Coulomb, Hulthén, Yukawa and Hulthén2 is independent of the presence of ring potential.

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Section: Introductionmentioning

confidence: 99%

Particle confined in modified ring-shaped potential

et al. 2020

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“…, where 'α' represents the cosmic string parameter, and i, j = 1, 2, 3. This geometric setup has recently garnered significant attention in the investigation of quantum systems, both in the relativistic and non-relativistic limits, by numerous researchers (see, for example, [44][45][46][47][48][49][50][51][52]).…”

Section: Cosmic String Effect On the Solution Of The Schrödinger Equa...mentioning

confidence: 99%

“…In gravitation, topological defects are associated with the evolutionary process of the early universe, in which symmetry-breaking phase transitions took place; and in the second, topological defects can appear during the synthesis of materials [42,43]. In recent decades, the study of the physical effects of these topological defects on the physical properties of a system has been the subject of several very active research works [44][45][46][47][48][49][50][51][52].…”

Section: Introductionmentioning

confidence: 99%

Topological defects on solutions of the non-relativistic equation for extended double ring-shaped potential

Boudjedaa,

Ahmed

2024

Commun. Theor. Phys.

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In this study, we focus into the non-relativistic wave equation described by the Schrödinger equation, specifically considering angular-dependent potentials within the context of a topological defect background generated by a cosmic string. Our primary goal is to explorequasi-exactly solvable problems by introducing an extended ring-shaped potential. We utilize the Bethe ansatz method to determine the angular solutions, while the radial solutions are obtained using special functions. Our findings demonstrate that the eigenvalue solutionsof quantum particles are intricately influenced by the presence of the topological defect of the cosmic string, resulting in significant modifications compared to those in a flat space background. The existence of the topological defect induces alterations in the energy spectra, disrupting degeneracy. Afterwards, we extend our analysis to study the same problem in the presence of a ring-shaped potential against the background of another topological defect geometry known as a point-like global monopole. Following a similar procedure, we obtain the eigenvalue solutions and analyze the results. Remarkably, we observe that the presence of a global monopole leads to a decrease in the energy levels compared to the flat space results. In both cases, we conduct a thorough numerical analysis to validate our findings.

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“…The NU method has been used to investigate various physical background. [50][51][52][53][54][55][56][57][58][59][60] We make f (r) become the Cornell potential, which include the linear term and Coulomb term. The linear term is a confining term, which can represents the non-perturbative effects of quantum chromodynamics.…”

Section: The Solution Of the Generalized Dkp Oscillatormentioning

confidence: 99%

Aharonov–Bohm effect on the generalized Duffin–Kemmer–Petiau oscillator in the Som–Raychaudhuri spacetime

et al. 2021

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The generalized Duffin–Kemmer–Petiau (DKP) oscillator with electromagnetic interactions in the curved spacetimes is investigated. We introduce firstly the generalized DKP oscillator in Som–Raychaudhuri spacetime with Cornell potential. Then, we consider the electromagnetic interactions into the generalized DKP oscillator. The energy eigenvalues and eigenfunction of our problem are obtained. The effects from the parameters of spacetime, the frequency of oscillator, the Cornell potential and the magnetic flux on the energy eigenvalues have been analyzed. We find an analog effect for the bound states from the Aharonov–Bohm effect in our considered system.

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Exact solutions of the Schrödinger equation with a coulomb ring-shaped potential in the cosmic string spacetime

Cited by 15 publications

References 47 publications

Particle confined in modified ring-shaped potential

Particle confined in modified ring-shaped potential

Topological defects on solutions of the non-relativistic equation for extended double ring-shaped potential

Aharonov–Bohm effect on the generalized Duffin–Kemmer–Petiau oscillator in the Som–Raychaudhuri spacetime

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