Prof. Gaotsiwe Joel Rampho

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20Years (2007-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

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1 April 2020 in Heliyon

Journal Article

Superstatistics of Schrödinger equation with pseudo-harmonic potential in external magnetic and Aharanov-Bohm fields

A.N. Ikot

U.S. Okorie

G. Osobonye

P.O. Amadi

Collins Okon Edet

R. Sever

In this work, the thermodynamic properties of pseudo-harmonic potential in the presence of external magnetic and Aharanov-Bohm fields are investigated. The effective Boltzmann factor in the superstatistics formalism was used to obtain the thermodynamic properties such as Helmholtz free energy, Internal energy, entropy and specific heat capacity of the system. In addition, the thermal properties of some selected diatomic molecules of

N_{2}, C l_{2}, I_{2}

and

C H

using their experimental spectroscopic parameters and the effect of varying the deformation parameter of

q = 0,0.3, 0.7

were duly examined.

17 September 2020 in Molecular Physics

Journal Article

Energy spectra and thermal properties of diatomic molecules in the presence of magnetic and AB fields with improved Kratzer potential

In the present study, the improved screened Kratzer potential (ISKP) is investigated in the presence of external magnetic and Aharanov-Bohm (AB) fields within the framework of non-relativistic quantum mechanics. The Schrodinger equation is solved via the Nikiforov-Uvarov Functional Analysis (NUFA) method and the energy spectra and the corresponding wave function for the ISKP in the presence of external magnetic fields are obtained in a closed form. The obtained energy spectra are used to study some selected diatomic molecules. It is observed that the present of the magnetic and AB fields removes the degeneracy for different values of the control parameter. The thermodynamic and magnetic properties of the ISKP in the present of the magnetic and AB fields are also evaluated. The effects of the control potential parameter on the thermodynamic and magnetic properties of the selected diatomic molecules are discussed.

17 August 2021 in Entropy

Journal Article

Analyzing the Effects of Topological Defect (TD) on the Energy Spectra and Thermal Properties of LiH, TiC and I₂ Diatomic Molecules

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.

22 September 2020 in The European Physical Journal Plus

Journal Article

Spin and pseudospin symmetries of a relativistic fermion in an elastic medium with spiral dislocations

10 July 2015 in Journal of Physics G: Nuclear and Particle Physics

Journal Article

Coulomb barrier penetrability in the ¹¹Be + ²⁰⁸Pb breakup reaction

B Mukeru

M L Lekala

Gaotsiwe Joel Rampho

We use the continuum discretized coupled channels method to study the ¹¹ Be+ ²⁰⁸ Pb breakup reaction. We investigate the effects of the continuum–continuum couplings (ccc) on the breakup cross sections. We find that high partial waves strengthen the ccc. Using the breakup cross sections of this reaction, we analyze the penetrability of the Coulomb barrier and show that this penetrability is reduced when the ccc are included.

7 June 2016 in Journal of Physics A: Mathematical and Theoretical

Journal Article

Perspective on the Lagrange–Jacobi mesh

Gaotsiwe Joel Rampho

This paper presents a unified treatment of the kinetic energy matrix elements related to a number of Lagrange functions associated with the Lagrange–Jacobi mesh. The matrix elements can be readily modified for application to problems requiring eigenfunction expansion with Lagrange–Legendre, Lagrange–Chebyshev, Lagrange–Gegenbauer, as well as the Lagrange–Jacobi functions. The applicability of and the accuracy attainable with the matrix elements is demonstrated with the solution to the Schrödinger equation for confining trigonometric Pöschl–Teller potentials. The results obtained are within machine accuracy when appropriate choices of the basis functions are used.

About Me

Gaotsiwe Rampho’s research career started when he joined the University of South Africa (UNISA) as a Junior Lecturer in 2001. He obtained his M.Sc. (Computational Physics) in 2002 and his Ph.D. (Theoretical Nuclear Physics) in 2010 from UNISA. He also holds a MEd (Open Distance Learning) which he obtained from UNISA in 2015. He currently holds an associate professor position in physics at UNISA. His research interests include studies of thermodynamic properties of diatomic molecules and the effects of external magnetic fields on such properties. Relativistic and non-relativistic, global and local, probability distributions of the molecules are studied. He has contributed to the improvement of the traditional Lagrange-mesh method for solving differential and integrodifferential equations. He has also contributed to the improvement of the traditional few-body integrodifferential equations to accelerate the convergence of numerical solutions. He has contributed to the construction of two new inter-atomic interaction potential models as well as a simplified method for constructing approximate analytical solutions of quantum-mechanical equations.

Prof. Gaotsiwe Joel Rampho

Prof. Gaotsiwe Joel Rampho

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