M. Vubangsi

THE UNIVERSITY OF BAMENDA · Computer Science

This research delves into the fascinating transmission characteristics of a system with variable mass, confined by a Coulomb-like potential. By utilizing an analytic approach to transmission probability, we were able to unveil the intriguing features that are observed experimentally in a specially designed two-dimensional lattice. This lattice was...

In this work, we evaluate the effect of variation of mole fraction of Tin in doped titanium oxide on band gap. To achieve this, we resort to Matminer’s "dielectric_constant" dataset and apply an algorithm to featurize the chemical formulae of the compounds in the dataset. Using k-fold cross-validation of random forest, we obtain a Machine learning...

We model a compositionally graded heterostructure using the effective mass approach with a screened Coulomb potential. Approximate analytical solutions to the model are compared with a Neural Network output and good agreement is achieved, paving the way for Artificial Intelligence modeling of systems with graded composition.

In this work, we design and implement a conference attendance monitoring system based on blockchain and Artificial Intelligence (AI) technologies. This system is built with react.js for front-end and makes use of Google's real-time database for storage. The system is designed to auto-track the users device location and screen behavior during a time...

Security of private and military areas is very important, drones are becoming more available day by day even though they are used for different purposes. In no-fly zones like metros, airports, private properties and so on, unauthorized drones can be detected using computer vision models, in this study Mask-RCNN with two different backbones (ResNet-...

A D=1 position dependent mass approach for constructing nonlinear coherent states for a modified Coulomb potential is used to generate Gazeau-Klauder coherent states. It appears that their energy eigenvalues are scaled down by the quantum number and the nonlinearity coeffcient. We study the basic properties of these states found undefined on the wh...

Using a model anharmonic oscillator with asymptotically decreasing effective mass to study the effect of compositional grading on the quantum mechanical properties of a semiconductor heterostructure, we determine the exact bound states and spectral values of the system. Furthermore, we show that ordering ambiguity only brings about a spectral shift...

Studying quantum properties of a system has been quite popular in quantum mechanics. One of the most important systems that are very crucial to the framework of quantum mechanics is the system of harmonic oscillator a system whose classical evolution is known to exhibit peculiar chaotic dynamics. We are motivated to investigate the behavior of quan...

We study the properties of a quantum system confined in a shifted Coulomb potential using a direct analytical approach and the supersymmetric quantum mechanics analysis and then show concurrence of results of the two approaches. This analysis reveals an energy spectrum quite dependent of the shift distance and scaled down by the space deformation p...

A sigmoidal grading profile is proposed for the efficient study of the influence of material parameters and effective mass mismatch on the properties of graded heterojunctions. For the interest of accessing bound and scattering states, we have shown the exact solvability of the model on the entire real line. Focussing on transport across a composit...

A nonlinear oscillator with variable mass is studied in the approach of Supersymmetric quantum mechanics. Ladder operators in association with the shape invariance condition allowed us to find the coherent states of the system in the sense of Barut and Girardello. The statistical properties of these particular states are studied using the probabili...

A nonlinear oscillator with position dependent mass m(x) is studied in supersymmetric quantum mechanical approach. Ladder operators in association with the shape invariance condition permit us to construct coherent states (CS) of the system in the sense of Barut and Girardello. Moreover, statistical characteristics of these particular states are st...

The transmittivity of a graded heterojunction within the displacement operator framework is studied using the transfer matrix approach. Transmission resonances are observed to be enhanced by large interface widths. The parameter γ, generator of non-additive translations is observed to orchestrate regimes of enhanced and suppressed transmission.

Matching conditions for the envelope function in the effective mass approximation are determined based on the feasibility of exactly solving the effective mass Schrödinger equation. The transmission and reflection probabilities for these conditions at an abrupt heterojunction are determined for a step mass and step potential and an alternative desc...

The problem of a particle with position and time-dependent effective mass in a one-dimensional infinite square well is treated by means of a quantum canonical formalism. The dynamics of a launched wave packet of the system reveals a peculiar revival pattern that is discussed.

Applying the supersymmetric quantum mechanics approach, we derive shape-invariant trigonometric potentials for the displacement-operator-derived effective mass Hamiltonian. By linearizing the algebra resulting from SUSY-QM factorization of the constructed systems, their coherent states are defined and shown to be exponentially dependent on a functi...

The position-dependent effective mass quantum harmonic oscillator problem is considered within the displacement operator framework. Using the analytic and the algebraic approaches, exact expressions for quantum mechanical quantities of the system have been obtained. In the limit of no deformation, results of the constant mass oscillator are recover...

We show that for a given setting of the Von Roos ambiguity parameters, it is not required that the Morrow and Brownstein condition be satisfied to achieve physically acceptable transport properties at abrupt heterojunctions. We have derived two such settings and corresponding envelope function matching conditions.

The quantum dynamics of a complexified position-dependent effective-mass system is considered within the framework of the δ-function kicking perturbation. The absorptive/dissipative dynamics of the system exhibits energy crossing subject to different parametrization of space deformation upon time evolution, which is reminiscent of chaotic behavior...

We have derived a new kinetic energy operator for studying variable mass systems. Our operator is dependent on the space deformation profile $ \mu(x)$ subject to the order parameter $ \varsigma$ . At zeroth order, we recover the standard one-dimensional kinetic energy operator for a constant mass system while, for $ \varsigma\geq 1$ , the ope...

Within the framework of the translation operator for a quantum system with position-dependent mass, we examine the quantum state of a position-dependent mass system in a variable potential. By imposing conditions of resolvability, we arrive at a potential with a quartic and a quadratic term. It emerges naturally that the energy eigen states of the...