Quantum effects with Kratzer plus generalised Yukawa potential in a point-like global monopole using different approximation schemes

Ahmed, Faizuddin

doi:10.1080/00268976.2023.2198617

Cited by 9 publications

(5 citation statements)

References 46 publications

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“…This approach revolves around standardizing the differential equation, facilitating the separation of variables. Numerous authors have employed the Nikiforov-Uvarov (NU) technique to derive solutions for Schrödinger-like wave equations (see, for example, [39,[51][52][53][54][55][56][57]).…”

Section: Schrödinger Equation Under Pt Potential In Conical Geometrymentioning

confidence: 99%

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Effects of Pöschl-Teller potential on approximate ℓ ≠ 0-states solution in topological defect geometry and Shannon entropy

Ahmed,

Bouzenada,

Moreira

2024

Phys. Scr.

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This study is centered on examining the behavior of quantum particles governed by the Schrödinger equation, particularly when subjected to a trigonometric Pöschl-Teller potential within the context of a topological defect environment. We set out to derive the radial wave equation and employ the Nikiforov-Uvarov method to solve it and present the eigenvalue solution of the quantum system. In fact, it is shown that the topological defect alters both the energy eigenvalues and the corresponding wave functions of quantum particles, diverging from the behavior observed in flat space with this potential. Moreover, we compute the Shannon entropy for this quantum system under investigation and assess how the presence of the topological defect and potential influences it.

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Section: Schrödinger Equation Under Pt Potential In Conical Geometrymentioning

confidence: 99%

“…The physics associated with a point-like global monopole has been given in reference [44,45]. In the context of quantum mechanical problems, point-like global monopole has recently garnered significant attention both in the relativistic and non-relativistic limits [40][41][42][46][47][48][49][50][51][52][53][54][55][56][57].…”

Section: Introductionmentioning

confidence: 99%

Effects of Pöschl-Teller potential on approximate ℓ ≠ 0-states solution in topological defect geometry and Shannon entropy

Ahmed,

Bouzenada,

Moreira

2024

Phys. Scr.

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“…, where ã represents the global monopole 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, [47,[71][72][73][74][75][76][77][78][79][80][81][82][83][84][85][86][87]).…”

Section: Global Monopole Effect On the Solution Of The Schrödinger Eq...mentioning

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 pointlike global monopole spacetime is a static and spherically symmetric solution of Einstein field equation. A number of research works on point like global defect have been done by F. Ahmed [14][15][16][17][18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

“…Onate and Ojonubah executed an approximate solution of the Schrödinger equation under the framework of supersymmetric approach with an interaction of inversely quadratic Yukawa potential, Yukawa potential and Coulomb potential which are generally considered as a class of Yukawa potentials [27]. Besides these, there are so many research works, have been done with inverse quadratic potential as well as with Yukawa potential in atomic and molecular physics [22,[28][29][30] (and further references therein). On the other hand, studies of nonrelativistic quantum systems under external magnetic and AB flux fields have received a great attention during the last few decades [21,23,31,32].…”

Section: Introductionmentioning

confidence: 99%

Effects of Magnetic Monopole and Quantum Flux Field on Eigen Value Spectrum Embedded with Yukawa Potential Including Central Potential

Ahmed

Dutta²,

Nayek³

2023

Preprint

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The effect of Point like Global Monopole (PGM) topological defects on the energy eigenvalues of quantum systems embedded in Inverse Square Plus Yukawa (ISPY) potential under the influence of Aharonov-Bohm flux field has been studied here. ISPY potential is the superposition of inverse quadratic plus Yukawa potential. The radial part of the Schrödinger equation, a homogenous linear second-order differential equation, is solved under the framework of Asymptotic Iteration Method (AIM). Greene-Aldrich approximation scheme has been used to approximate the centrifugal barrier term which helps to find out the solutions of the Schrödinger equation for arbitrary l states. It is seen that, energy levels of a quantum system is significantly affected by the global effects of the point like global monopole, flux field and effective potential field. PACS number(s): 03.65.-w, 03.65.Ge, 03.65.Vf

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Quantum effects with Kratzer plus generalised Yukawa potential in a point-like global monopole using different approximation schemes

Cited by 9 publications

References 46 publications

Effects of Pöschl-Teller potential on approximate ℓ ≠ 0-states solution in topological defect geometry and Shannon entropy

Effects of Pöschl-Teller potential on approximate ℓ ≠ 0-states solution in topological defect geometry and Shannon entropy

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

Effects of Magnetic Monopole and Quantum Flux Field on Eigen Value Spectrum Embedded with Yukawa Potential Including Central Potential

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