arXiv subjects

E. O. Oladimeji

Publications and source records attributed to E. O. Oladimeji.

5 recordsLinked to original sources

arXiv2024

The Performance Analysis of a Quantum-Mechanical Carnot-like Engine using Diatomic Molecules

This study presents an analysis of a quantum mechanical formulation of the Carnot like cycle using diatomic molecules, i.e., the Morse oscillator, as the working substance. The generalized model with an arbitrary one dimensional potential is used to obtain the important performance parameters such as the efficiency, the power output, and the optimal region of the engine by considering well width L moving with a finite speed. The optimal efficiency, the maximum power output, and dimensionless power ranges of the working substance was also determined. The results obtained in this work are found to agree with those obtained for similar engine but with different working substance.

quant-ph↗

arXiv2022

The efficiency of Quantum Mechanical Carnot Engine using the Woods Saxon model

The quantum engine cycle serves as an analogous representation of classical heat engines for microscopic systems and the quantum regime of thermal devices is composed of a single element. In this work, the Quantum-Mechanical properties of a non-linear quantum oscillator described by the Woods-Saxon [WS] model are examined. The Quantum-Mechanical analogue of the Carnot cycle was constructed using changes in both the width L of the well and the quantum state of the potential well. The efficiency of the quantum engine, consisting of adiabatic and isothermal processes based on the Woods-Saxon [WS] potential is derived. The result is shown to be analogous to that of the classical engine and found to agree, within an appropriate limit, with existing results obtained from other potential models. This implies that the [WS] potential can be used as an alternative model in quantum engines.

quant-ph↗

arXiv2022

Poeschl-Teller quantum oscillator and its limiting cases

One of the most interesting models of the nonrelativistic quantum mechanics (in one-dimensional case) introduced by G. Poeschl and E.Teller at 1933 is considered. It is shown that this model possesses as its limiting cases two most popular quantum models: the quasi-free quantum particle in the box as well as the quantum harmonic oscillator introduced by F. Bloch at 1932.

quant-ph↗

arXiv2021

The Poschl-Teller Like Description of Quantum Mechanical Carnot Engine

In this work an example of a cyclic engine based on a quantum-mechanical properties of the strongly non linear quantum oscillator described by the Poschl-Teller [PT] model is examined. Using the [PT] model as shown in our earlier works [1-4], a quantum-mechanical analog of Carnot cycle (i.e quantum heat engine) has been constructed through the changes of both, the width L of the well and its quantum state. This quantum heat engine has a cycle consisting of adiabatic and isothermal quantum processes. The efficiency of the quantum engine based on the Poschl-Teller-like potential is derived and it is analogous to classical thermodynamic engines.

quant-ph↗

arXiv2019

Pressure Operator for the Poeschl Teller Oscillator

The quantum mechanical properties of the strongly non-linear quantum oscillator in the Poeschl Teller model are considered. In the first place, the energy spectrum and its dependence upon the confinement parameter i.e., the width of the box are studied. Moreover, on the grounds of the Hellman Feynman theorem the pressure operator in this model is obtained and along with the energy spectrum is studied in two main approximations: the particle in the box and linear harmonic oscillator for large and low values of the main quantum number; the critical value is also evaluated. Semi-classical approximation as well as perturbation theory for the Poeschl Teller are also considered. The results obtained here are intended for future thermodynamic calculations: first of all, for the generalization of the well known Bloch result for the linear harmonic oscillator in the thermostat. To this end, the density matrix for the Poeschl Teller oscillator will be calculated and the full Carnot cycle conducted.

quant-ph↗