arXiv subjects

T. T. Ibrahim

Publications and source records attributed to T. T. Ibrahim.

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↗

arXiv2014

Bound state solutions of the Manning-Rosen potential

Using the asymptotic iteration method (AIM), we have obtained analytical approximations to the $\ell$-wave solutions of the Schrödinger equation with the Manning-Rosen potential. The equation of energy eigenvalues equation and the corresponding wavefunctions have been obtained explicitly. Three different Pekeris-type approximation schemes have been used to deal with the centrifugal term. To show the accuracy of our results, we have calculated the eigenvalues numerically for arbitrary quantum numbers $n$ and $\ell$ for some diatomic molecules (HCl, CH, LiH and CO). It is found that the results are in good agreement with other results found in the literature. A straightforward extension to the s-wave case and Hulth$\acute{e}$n potential case are also presented.

math-ph↗

arXiv2011

The first candidate for chiral nuclei in the $A\sim80$ mass region: $^{80}$Br

Excited states of $^{80}$Br have been investigated via the $^{76}$Ge($^{11}$B, $α$3n) and $^{76}$Ge($^{7}$Li, 3n) reactions and a new $ΔI$ = 1 band has been identified which resides $\sim$ 400 keV above the yrast band. Based on the experimental results and their comparison with the triaxial particle rotor model calculated ones, a chiral character of the two bands within the $πg_{9/2}\otimes νg_{9/2}$ configuration is proposed, which provides the first evidence for chirality in the $A\sim80$ region.

nucl-ex↗

arXiv2010

Relativistic Treatment of the Spin-Zero Particles Subject to the q-Deformed Hyperbolic Modified Pöschl-Teller Potential

In this study, we solve the Klein-Gordon equation with equal scalar and vector q-deformed hyperbolic modified Pöschl-Teller potential. The explicit expressions of bound state spectra and the normalized eigenfunctions for s-wave bound states are obtained analytically. The energy equations and the corresponding wave functions for the special cases of the equally mixed q-deformed hyperbolic modified Pöschl-Teller potential for spinless particle are briefly discussed.

quant-ph↗