A new approach to the Schrodinger equation with position-dependent mass and its implications in quantum dots and semiconductors

RA El-Nabulsi - Journal of Physics and Chemistry of Solids, 2020 - Elsevier
In this study, we introduce a new approach to construct the Schrödinger equation with
position-dependent mass characterized by an emerging particle's effective mass, in perfect …

On a new fractional uncertainty relation and its implications in quantum mechanics and molecular physics

RA El-Nabulsi - Proceedings of the Royal Society A, 2020 - royalsocietypublishing.org
A new generalized uncertainty relation is constructed based on Li-Ostoja-Starzewski
fractional gradient operator of order 0< α≤ 1 introduced recently in literature which is …

Quantum information entropy of hyperbolic potentials in fractional schrödinger equation

R Santana-Carrillo, JS González-Flores… - Entropy, 2022 - mdpi.com
In this work we have studied the Shannon information entropy for two hyperbolic single-well
potentials in the fractional Schrödinger equation (the fractional derivative number (0< n≤ 2) …

Dirac equation with position-dependent mass and Coulomb-like field in Hausdorff dimension

RA El-Nabulsi - Few-Body Systems, 2020 - Springer
Dirac equation with spatially or position-dependent mass and an attractive Coulomb-like
field is constructed in Hausdorff dimension of order 0< α ≤ 1 0< α≤ 1. The lower and upper …

Information‐entropic measures in free and confined hydrogen atom

N Mukherjee, AK Roy - International Journal of Quantum …, 2018 - Wiley Online Library
Shannon entropy (S), Rényi entropy (R), Tsallis entropy (T), Fisher information (I), and
Onicescu energy (E) have been explored extensively in both free H atom (FHA) and …

[HTML][HTML] Multi-wave, breather wave and lump solutions of the Boiti–Leon–Manna–Pempinelli equation with variable coefficients

JG Liu, WP Xiong - Results in Physics, 2020 - Elsevier
In this paper, a variable-coefficient Boiti–Leon–Manna–Pempinelli equation is to be
investigated. We obtain abundant multi-wave, breather wave and lump solutions by using …

Global Quantum information-Theoretic measures in the presence of Magnetic and Aharanov-Bohm (AB) fields

CO Edet, EB Ettah, SA Aljunid, R Endut, N Ali, AN Ikot… - Symmetry, 2022 - mdpi.com
The global quantum information-theoretical analysis of the class of Yukawa potential (CYP)
in the presence of magnetic and Aharonov–Bohm (AB) fields has been examined both …

Exact solutions of the Schrödinger equation for another class of hyperbolic potential wells

XH Wang, CY Chen, Y You, DS Sun, FL Lu… - Physica …, 2023 - iopscience.iop.org
In this work a new scheme is proposed to study the exact solutions of another class of
hyperbolic potentials U p. We first obtain two linearly dependent eigenfunctions …

A generalized self-consistent approach to study position-dependent mass in semiconductors organic heterostructures and crystalline impure materials

RA El-Nabulsi - Physica E: Low-dimensional Systems and …, 2020 - Elsevier
The purpose of this study is to generalize the Coordinate Integral Transform recently
introduced in literature for the self-consistent solution of Schrödinger equation in one …

Inverse-power potentials with positive-bound energy spectrum from fractal, extended uncertainty principle and position-dependent mass arguments

RA El-Nabulsi - The European Physical Journal Plus, 2020 - Springer
In this study, we have introduced a new generalized momentum operator which takes
simultaneously into account the extended uncertainty principle, the concept of position …