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Introduction
Godfrey Akpojotor currently works at the Theoretical and computational Condensed Matter Physics, Delta State University, Abraka. Godfrey does research in Solid State Physics, Atomic, Molecular and Optical Physics, Unified Force Field Theory and Quantum/Hadronic Physics. He has been involved with National Environmental Projects such as Developing National Inventory of CO2 Emission and the peaceful use of Nuclear Energy Programme.
Publications
Publications (45)
The electrochemical deposition approach has been used to successfully produce CrTe and Zr/CrTe materials. The surface morphology of the films has shown a stone-like micro-grain. When the deposition voltage rises to 14 V, the stone-like nano grain transforms into a white well-pack precipitate and spreads. The surface of the doped CrTe material displ...
This study examined the socioeconomic impact of COVID-19 pandemic in Nigeria. The study was carried out in the 36 states and federal capital territory of the country. It adopted the stratified random sampling technique where the states are grouped into the existing 6 geopolitical zones of the study area. Primary data collection involved the adminis...
This study examined the socioeconomic impact of COVID-19 pandemic in Nigeria. The study was carried out in the 36 states and federal capital territory of the country. It adopted the stratified random sampling technique where the states are grouped into the existing 6 geopolitical zones of the study area. Primary data collection involved the This st...
Abstract.
In this paper, we show, by extending Lie’s original 1871 thesis “on philosophical reflections upon the nature of Cartesian geometry” based on “transformation by which surfaces that touch each other are turned into similar surfaces . . . between the Plucker line geometry and a geometry whose elements are the space’s spheres” to include tor...
It is a sad commentary that after several months of the first confirmed case of the COVID-19 pandemic in Nigeria, there are still very scanty local data and information on the virus. As a result, the country still relies on foreign data and information. The purpose of this preliminary study is to investigate the perception and belief of the pandemi...
Seeking rapport with the Copenhagen interpretation of quantum mechanics, Erwin Schrödinger in 1926 devised the Wellenpaket encapsulation of his wave equation, which eventually even Werner Heisenberg accepted: but only “in multi-dimensional configuration space, not in ordinary space.” However, in recent development including string and loop quantum...
We have made a direct electron wave-packet modeling of the elements and parameters of the solid state configuration space R³×SO(3) by a structural realization of the SU(3) Lie algebra into a cyclically expanding isotropic vector matrix unfolding of its infinitesimal root vectors, faithful to his prescriptions how these partial derivative “geodetic...
We have made a direct electron wave-packet modeling of the elements and parameters of the solid state configuration space R³×SO(3) by a structural realization of the SU(3) Lie algebra into a cyclically expanding isotropic vector matrix unfolding of its infinitesimal root vectors, faithful to his prescriptions how these partial derivative “geodetic...
The First International Seminar on Theoretical Physics and National Development (ISOTPAND08) was held at the Merit House (Abuja, Nigeria) from August 25- 29, 2008. This first meeting was to pay tribute to Professor Emeritus Alexander Obiefoka Enukora Animalu who joined the prestigious ‘Age Club’ of three scores and ten on August 28, 2008, The event...
We have shown in [1] that the geometric object for the geometrical and quantization foundation of the Oyibo grand unified theorem (GUT) is the torus. This torus is generic meaning that its nature depends on the periodic boundary conditions of the system and other physical constraint conditions. By observing that the Bloch’s theorem also has this to...
Two fundamental arguments against the Oyibo grand unification theorem (GUT) as a possible mathematical basis for a grand unification theory are (1) the obscure nature of the unspecified "physical" or "geometrical" meaning of the group of transformation in Oyibo's definition of conformal invariance and (2) the expectation that the yet-to-be resolved...
The recent Paris Agreement on how to abate the climate change requires both developed and developing countries to assumed increasing responsibility to address climate change in line with their capabilities. The implication is that every country must obtain an inventory of the greenhouse gases (GHG) emission from all reliable sources to enable them...
Anderson model is an important model in the theory of strongly correlated
electron system. In this study, we explore the ground state of this model and
the concept of electron correlation by bipartite lattice and prove rigorously
theorems leading to the presence of spin singlet in the model. By using the
results of Ueda et al (1992) and Tian (1994)...
The Oyibo grand unification theorem (GUT) has been proposed as a mathematical
basis for a grand unification theory also known as the theory of everything. It is
still in the exploration phase to recover already known results within the four
main forces in nature before using it to explore new predictions. There is
consensus that partial differentia...
The successful application of the electron-phonon interaction (EPI) mechanism
in formulating the Bardeen-Cooper-Schrieffer (BCS) theory of superconductivity
is among the most outstanding intellectual achievements in theoretical physics
because of the successful application of the theory to the conventional
superconducting materials. Therefore, its...
The presence of physical systems whose characteristics change in a seemingly
erratic manner gives rise to the study of chaotic systems. The characteristics
of these systems are due to their hypersensitivity to changes in initial
conditions. In order to understand chaotic systems, some sort of simulation and
visualization is pertinent. Consequently,...
Cold atoms in optical lattices is the application of two formerly distinct
aspects of physics: quantum gases from atomic physics and laser theory from
quantum optics. Its use to simulate quantum phenomena and models in condensed
matter physics is a growing field. The major goal is to use cold fermonic atoms
in these superlattices for the simulation...
The God Almighty Grand Unification Theory proposed by Oyibo to unify all
known forces in nature and other possibly unknown force fields has remained
controversial not just because of its ambitious claims but also because of its
unconventional mathematical approach. He has adopted the mathematical approach
from his experience at solving the Navier S...
A model of equispaced-level conduction band in semiconductor quantum
well (QW) nanostructures is derived. The procedure starts with the
effective-mass Schrodinger equation, with the local conduction-band edge
as the potential experienced by an electron in the QW. Then the
effective-mass Schrodinger equation with linear harmonic potential is
made to...
A large number of plant materials contain essential oils which are a diverse group of natural products having extensive bioactivities and are therefore important sources of aromatic and flavoring chemicals in food, industrial and pharmaceutical products. One advancing method of essential oil extraction from plants is the steam distillation because...
An O(4,2)xSU(3)xU(1) lattice gauge group that decomposes to SO(10) approach to strong coupling (“holographic”) superconductivity is developed under the name geno-superconductivity in order to incorporate geno-Bragg’s law obeyed by quasicrystal structures as well as non-trivial conformal (including
scale) invariance. As a progressive generalization...
Though there are infinite number of theories currently in the literature in the search for a generalized theory of superconductivity (SC), there may be three domineering mechanisms for the Cooper pair formation (CPF) and their emergent theories of SC. Two of these mechanisms, electron-phonon interactions and electron-electron correlations which are...
Python unique features such its interpretative, multiplatform and object oriented nature as well as being a free and open source software creates the possibility that any user connected to the internet can download the entire package into any platform, install it and immediately begin to use it. Thus Python is gaining reputation as a preferred envi...
The two-electron man-made quantum dot is one of the promising methods to building quantum computers. The goal is to use the singlet-triplet transition of the two electrons in this system as qubits. In our study, we have investigated the Kagome lattice, which is a special form of 2D lattices, using a t-U-V-J model. The analytical method used is the...
The use of numerical computation has become well established in physics research over the years while the use of purely analytical approaches is on the decline because of its limitation to less complex systems. The emerging scenario is that the numerical computations are sometimes used as the test laboratories for analytical methods. Though some Af...
Computer based instruction is permeating the educational curricula of many countries oweing to the realization that computational physics which involves computer modeling, enhances the teaching/learning process when combined with theory and experiment. For the students, it gives them more insight and understanding in the learning process and thereb...
After years of successful application of the pseudo and model potential representation of electron-phonon interaction to conventional Bardeen-Cooper-Schrieffer (BCS) theory of superconductivity, herein called the standard model, we have developed a generalization (herein called isostandard or iso-superconductivity model) that not only explains the...
Laser cooling and trapping are now widely used in atomic physics laboratory. Interestingly, cold atoms in optical lattices are now used in advanced research to mimic phenomena in condensed matter physics and also as a test laboratory for the models of these phenomena. It follows then that it is now possible and necessary to advance the atomic physi...
The issue of how superconductivity originate in the CuO2 planes believed to be crucial to understanding the high Tc superconducting cuprates is still an going debate. In the wake of recent experimental observations of the Zhang–Rice singlet (ZRS), its formation and propagation need to be revisited especially by using a simple approach almost at a p...
The Hubbard (t-U) model is the simplest model for studying strongly
correlated systems. The t-part of this model is the kinetic part and the
U-part is the interacting potential. In order to enhance the itinerancy
of the kinetic part, some workers often include the hopping of the
electrons to the next nearest neighbour (NNN) leading to the t-t'-U
mo...
An attempt is made in this work to extend the correlated variational approach of Chen and Mei [1], which was developed for two-electron systems, to N-electron systems (N>2). Preliminary results are reported here for four electrons interacting under a Hubbard-type potential in a one-dimensional lattice with only four sitesJournal of the Nigerian Ass...
A simplified study of the effect of including self energy and vertex corrections to the BCS critical temperature Tc expression is carried out her to identify the possible ranges and limits of the electron-phonon coupling constant λ in superconductivity. The results show that the inclusion of the self energy will reduce the BCS Tc to that of McMilla...
In this study, the two electron interactions on one dimensional (1D) lattices is investigated in a t-U-J model where the t is the kinetic term, the U is the onsite Coulombic term and J is the nearest neighbour (NN) exchange term. Specifically, the effect of moving away from half filling (i.e. when the number of electrons Ne equals the number of sit...
The total number of states of any system is produced by all the possible interactions of the particles in that system. It follows therefore that there is need to obtain the states of the system before a model can be applied to it. Recently we developed a simple method to obtain the electronic states in the two electron lattice systems in all the th...
The issue of global warming has become one of the hottest topics in our world today and the reason is because of the increasing fear of its adverse effects. There is a growing consensus today that the increased emission of green house gases especially carbon dioxides (CO 2) which is believed to have increased by about 30% since the Industrial Revol...