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Effects of Magnetic And Aharanov-Bohm (AB) Fields on the Energy Spectra of the Yukawa Potential.
TL;DR: In this paper, the effects of magnetic and AB flux fields within the non-relativistic regime using the factorization method were analyzed and the energy equation and wave function of the system were obtained in close form.
Abstract: In this article, the Yukawa potential is scrutinized taking into consideration the effects of magnetic and AB flux fields within the non-relativistic regime using the factorization method. The energy equation and wave function of the system are obtained in close form. We find that the all-encompassing effects result in a strongly attractive system and consequently there is a significant upward shift in the bound state energy of the system. We also find that to achieve a low-energy medium for the Yukawa potential, weak magnetic field is required, however the AB flux field can be used as a controller. The magnetic and AB fields eliminates the degeneracy from the spectra. From our findings, it could be concluded that to manipulate the energy spectra of this system, the AB-flux and magnetic field will do so greatly. The results from this study can be applied in condensed matter physics, atomic and molecular physics.
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TL;DR: In this article, the non-relativistic treatment of the Hulthen-Kratzer potential (HKP) model is considered and the two-dimensional Schrodinger equation is solved.
Abstract: This research article is concerned with the non-relativistic treatment of the Hulthen-Kratzer potential (HKP) model. The two-dimensional Schrodinger equation is solved considering the presence of A...
22 citations
Cites background from "Effects of Magnetic And Aharanov-Bo..."
...Edet [36] investigated the impact of external fields on the Yukawa potential’s energy spectra....
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...vector potential in full is written in a simple form as [36];...
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TL;DR: In this article, the impacts of TD on the energy spectra and thermal properties of LiH, TiC and I2 diatomic molecules are considered, and the effects of the deformation parameter and TD on thermal properties are also analyzed in detail.
Abstract: In this study, the impacts of TD on the energy spectra and thermal properties of LiH, TiC and I2 diatomic molecules is considered. The Schrodinger equation in cosmic string spacetime is solved with the generalized Morse potential using the well-known (NU) method. The energy spectra and eigenfunction are obtained respectively. The energy spectra is used to obtain the partition function which is then used to evaluate the thermal properties of the system is evaluated accordingly. We find that the energy spectra in the presence of the TD differ from their flat Minkowski spacetime analogue. The effects of the deformation parameter and TD on the thermal properties of the system is also analysed in detail. We observe that the specific heat capacity of the system tends to exhibit quasi-saturation as the deformation parameter and topological defect approaches unity. The results of our study can be applied in the astrophysical situation where these modifications exist in the understanding of spectroscopical data and it may be used as a probe of the presence of a cosmic string or a global monopole in the Universe.
21 citations
27 Apr 2021
TL;DR: In this article, the authors obtained solutions of the Schrodinger equation with Kratzer-screened Coulomb potential (KSCP) model using the series expansion method and computed the bound state energy eigenvalues for selected diatomic molecules of N2, CO, NO, and CH.
Abstract: In this work, we obtain solutions of the Schrodinger equation with Kratzer-screened Coulomb potential (KSCP) model using the series expansion method. Explicitly, we compute the bound state energy eigenvalues for selected diatomic molecules of N2, CO, NO, and CH, respectively, for the various vibrational and rotational quantum states and the numerical energy eigenvalues agree with the existing literature. Three special cases were considered. The energy eigenvalues are applied to obtain the mass spectra of heavy quarkonium system such as charmonium and bottomonium. The results agree with the experimental data and other recent theoretical studies.
17 citations
24 Jun 2021
TL;DR: In this article, the Klein-Gordon equation for the quantum mechanical gravitational plus harmonic oscillator potential with equal scalar and vector potential was presented using the parametric Nikiforov-Uvarov method.
Abstract: The solutions of the Klein- Gordon equation for the quantum mechanical gravitational plus harmonic oscillator potential with equal scalar and vector potential have been presented using the parametric Nikiforov-Uvarov method. The energy eigenvalues were obtained in relativistic and non-relativistic regime and the corresponding un-normalized eigenfunctions in terms of Laguerre polynomials. The numerical values for the S – wave bound state were obtained.
6 citations
Cites result from "Effects of Magnetic And Aharanov-Bo..."
...Jasim et al [36] also investigated the single particle level density in a harmonic – oscillator potential well and obtained very interesting results....
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...Jasim et al [36] also investigated the single particle level density in a harmonic – oscillator potential well and obtained very interesting results....
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509 citations
TL;DR: In this article, the generalized parametric Nikiforov-Uvarov method was used to obtain approximate analytical solutions of the radial Schrodinger equation for the Yukawa potential, and the energy eigenvalues and corresponding eigenfunctions were calculated in closed forms.
Abstract: The Yukawa potential is often used to compute bound-state normalizations and energy levels of neutral atoms. By using the generalized parametric Nikiforov-Uvarov method, we obtain approximate analytical solutions of the radial Schrodinger equation for the Yukawa potential. The energy eigenvalues and the corresponding eigenfunctions are calculated in closed forms. Some numerical results are presented and show that these results are in good agreement with those obtained previously by other methods. Also, we find the energy levels of the familiar pure Coulomb potential energy levels when the screening parameter of the Yukawa potential goes to zero.
76 citations
"Effects of Magnetic And Aharanov-Bo..." refers background in this paper
...where r is the inter-particle distance, 1 V is the potential parameter and is the screening parameter which characterize the range of the interaction[11,12,13]....
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...YP has vast and increasing applications in other fields of physics such as; high energy physics, atomic and solid state physics, amongst others [13]....
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TL;DR: In this article, an approximate solution of the Schrodinger equation for the modified Kratzer potential plus screened Coulomb potential model, within the framework of Nikiforov-Uvarov method, was obtained.
Abstract: We obtained an approximate solution of the Schrodinger equation for the modified Kratzer potential plus screened Coulomb potential model, within the framework of Nikiforov–Uvarov method. The bound state energy eigenvalues for N2, CO, NO, and CH diatomic molecules were computed for various vibrational and rotational quantum numbers. Special cases were considered when the potential parameters were altered, resulting into modified Kratzer potential, screened Coulomb potential, and standard Coulomb potential, respectively. Their energy eigenvalues expressions and numerical computations agreed with the already existing literatures.
76 citations
"Effects of Magnetic And Aharanov-Bo..." refers background or methods in this paper
...Therefore, we employ the Greene and Aldrich approximation scheme [3, 4, 6] to bypass the centrifugal term....
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...Furthermore, several authors have noted that the eigensolutions (eigenvalues and eigen-function) of the SE incorporates significant information vis-à-vis the potential models [1-10]....
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TL;DR: In this paper, the Schrodinger equation with screened Kratzer potential (SKP) in the presence of external magnetic and AB-flux fields is investigated using the factorization method.
Abstract: In this study, the Schrodinger equation (SE) with screened Kratzer potential (SKP) in the presence of external magnetic and AB-flux fields is investigated using the factorization method. The eigenvalue and eigenfunction for the system are obtained in closed form. It is found that the presence of the magnetic field partially removes the degeneracy when the screening parameter of the potential was small (α = 0.005) but the addition of the AB field removed the degeneracy faster and better. The magnetization and magnetic susceptibility of the system are evaluated at zero and finite temperatures and other thermodynamic properties of the system are discussed. More so, the presence of the AB-flux field makes the system to exhibit a both a paramagnetic and diamagnetic behavior. A straight forward extension of these results to three dimension shows that the present result is consistent with those obtained in literature.
64 citations
"Effects of Magnetic And Aharanov-Bo..." refers background in this paper
...is denoted by “ A ” can be written as a superposition of two terms 1 2 A A A having the azimuthal components [14] and external magnetic field with 1 2 , 0 A B A , where B is the magnetic...
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...Thus, the Schrödinger equation for this consideration is written as follows [14, 18, 19];...
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...The vector potential in full is written in a simple form as [14, 18, 19];...
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...Lately, many researchers have focused their attention on studies that considers the influence of magnetic and AB fields on the energy spectra of myriads of QM systems [14-19]....
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