Exact and approximate bound state solutions of the Schrödinger equation with a class of Kratzer-type potentials in the global monopole spacetime

Alves, Saulo S.; Azevedo, Frankbelson dos S.; Filgueiras, Cleverson; Silva, Edilberto O.

doi:10.1016/j.cjph.2023.10.012

Cited by 5 publications

(3 citation statements)

References 44 publications

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“…The time-dependent Schrödinger wave equation with spatial dependent potential U(r) is described by the wave equation [38][39][40][41][42][43]…”

Section: Topological Effects With Potential On Non-relativistic Parti...mentioning

confidence: 99%

“…The investigation of this point-like global monopole in the context of non-relativistic quantum systems has been explored in only a few studies. For instance, it has been examined in scenarios such as the harmonic oscillator problem [38], interactions with Cornell-type potentials [39], quantum particles interacting with the Kratzer potential [40], generalized Morse potential [41], Hulthen potential [42], with a class of Kratzertype potentials [43], and some other investigations with different potential models including quantum flux fields in [44][45][46][47][48]. The spatial part of a static and spherically symmetric space-time describing a point-like global monopole in spherical coordinates (t, r, θ, f) [38][39][40][41][42][43][44][45][46][47][48] is as follows…”

Section: Introductionmentioning

confidence: 99%

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Impact of topological defects and Yukawa potential combined with inverse square on eigenvalue spectra of diatomic molecules O ₂, NO, LiH, HCl

Ahmed,

Kumar Nayek

2024

Phys. Scr.

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In this paper, we investigate a quantum system composed of non-relativistic particles interacting with an external potential while in the presence of a topological defect produced by a point-like global monopole. We derive the radial equation of the Schrödinger equation for this system, considering a Yukawa potential combined with inverse square potential within the backdrop of a point-like global monopole. To determine the eigenvalue solutions for this quantum system, we employ a suitable approximation scheme known as the Pekeris approximation. This approximation is applied to the centrifugal term, and we solve the resulting radial equation using the parametric Nikiforov-Uvarov (NU) method. Subsequently, we examine the quantum system when only Yukawa potential is present, and we obtain the eigenvalue solutions using the same procedure. In both cases, we observe that the presence of the global monopole topological defect has a signiﬁcant impact on the energy spectrum of quantum particles interacting with an external potential. To illustrate this eﬀect, we consider a few diatomic molecules, such as O2, NO, LiH, and HCl. We present the energy spectrum and compare our results with previously published ﬁndings in the literature. Furthermore, we generate several plots to visually depict the inﬂuence of the global monopole on the energy eigenvalues for these diﬀerent molecules.

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“…The time-dependent Schrödinger wave equation with spatial dependent potential U(r) is described by the wave equation [38][39][40][41][42][43]…”

Section: Topological Effects With Potential On Non-relativistic Parti...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Impact of topological defects and Yukawa potential combined with inverse square on eigenvalue spectra of diatomic molecules O ₂, NO, LiH, HCl

Ahmed,

Kumar Nayek

2024

Phys. Scr.

View full text Add to dashboard Cite

show abstract

“…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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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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Electromagnetic field tensor and maxwell’s equations in topological defect space-times

Kurbah,

Ahmed

2024

Indian J Phys

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Exact and approximate bound state solutions of the Schrödinger equation with a class of Kratzer-type potentials in the global monopole spacetime

Cited by 5 publications

References 44 publications

Impact of topological defects and Yukawa potential combined with inverse square on eigenvalue spectra of diatomic molecules O ₂, NO, LiH, HCl

Impact of topological defects and Yukawa potential combined with inverse square on eigenvalue spectra of diatomic molecules O ₂, NO, LiH, HCl

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

Electromagnetic field tensor and maxwell’s equations in topological defect space-times

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Exact and approximate bound state solutions of the Schrödinger equation with a class of Kratzer-type potentials in the global monopole spacetime

Cited by 5 publications

References 44 publications

Impact of topological defects and Yukawa potential combined with inverse square on eigenvalue spectra of diatomic molecules O 2, NO, LiH, HCl

Impact of topological defects and Yukawa potential combined with inverse square on eigenvalue spectra of diatomic molecules O 2, NO, LiH, HCl

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

Electromagnetic field tensor and maxwell’s equations in topological defect space-times

Contact Info

Product

Resources

About

Impact of topological defects and Yukawa potential combined with inverse square on eigenvalue spectra of diatomic molecules O ₂, NO, LiH, HCl

Impact of topological defects and Yukawa potential combined with inverse square on eigenvalue spectra of diatomic molecules O ₂, NO, LiH, HCl