Omar Mustafa

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List of research outcomes

PublicationDate of PublicationType
PDM-charged particles in PD-magnetic plus Aharonov-Bohm flux fields: unconfined ``almost-Quasi-free and confined in a Yukawa plus Kratzer exact solvability2024-04-15Paper
Corrigendum to: ``PDM KG-Coulomb particles in cosmic string rainbow gravity spacetime and a uniform magnetic field2024-04-14Paper
Schrödinger oscillators in a deformed point-like global monopole spacetime and a Wu-Yang magnetic monopole: position-dependent mass correspondence and isospectrality2024-02-07Paper
PDM Klein–Gordon particles in Som–Raychaudhuri cosmic string spacetime with space-like dislocation and a magnetic field: Spacetime associated degeneracies, vorticity-energy, and charge-energy correlations2024-01-29Paper
A note on ``The Klein-Gordon oscillator in \((1+2)\)-dimensions Gürses space-time backgrounds2023-10-12Paper
Massless KG-oscillators in Som-Raychaudhuri cosmic string spacetime in a fine tuned rainbow gravity2023-10-10Paper
PDM KG-Coulomb particles in cosmic string rainbow gravity spacetime and a uniform magnetic field2023-03-20Paper
Comment on ‘Two-dimensional position-dependent massive particles in the presence of magnetic fields’2022-12-06Paper
Confined Klein-Gordon oscillators in Minkowski spacetime and a pseudo-Minkowski spacetime with a space-like dislocation: PDM KG-oscillators, isospectrality and invariance2022-11-03Paper
Klein-Gordon particles in G\"odel-type Som-Raychaudhuri cosmic string spacetime and the phenomenon of spacetime associated degeneracies2022-07-30Paper
PDM Klein-Gordon particles in G\"odel-type Som-Raychaudhuri cosmic string spacetime background2022-04-28Paper
PDM Klein-Gordon oscillators in cosmic string spacetime in magnetic and Aharonov-Bohm flux fields within the Kaluza-Klein theory2022-04-20Paper
Confined Klein-Gordon oscillator from a (2+1)-dimensional G\"{u}rses to a G\"{u}rses or a pseudo-G\"{u}rses space-time backgrounds: Invariance and isospectrality2021-10-26Paper
Effect of nonlocal transformations on the linearizability and exact solvability of the nonlinear generalized modified Emden type equations2021-09-24Paper
Landau quantization for an electric quadrupole moment of position-dependent mass quantum particles interacting with electromagnetic fields2020-07-02Paper
PDM creation and annihilation operators of the harmonic oscillators and the emergence of an alternative PDM-Hamiltonian2020-05-06Paper
Position-dependent mass charged particles in magnetic and Aharonov-Bohm flux fields: separability, exact and conditionally exact solvability2019-07-26Paper
n-dimensional PDM non-linear oscillators: Linearizability and Euler-Lagrange or Newtonian invariance2019-06-28Paper
On the n-dimensional extension of Position-dependent mass Lagrangians: nonlocal transformations, Euler--Lagrange invariance and exact solvability2019-04-06Paper
Comment on 'Two-dimensional position-dependent massive particles in the presence of magnetic fields"2019-03-27Paper
Position-dependent mass momentum operator and minimal coupling: point canonical transformation and isospectrality2018-06-08Paper
Two-dimensional position-dependent mass Lagrangians; Superintegrability and exact solvability2017-05-09Paper
Position-dependent mass Lagrangians: nonlocal transformations, Euler–Lagrange invariance and exact solvability2015-06-22Paper
A new deformed Schioberg-type potential and ro-vibrational energies for some diatomic molecules2014-09-24Paper
AUXILIARY QUANTIZATION CONSTRAINTS ON THE VON ROOS ORDERING-AMBIGUITY AT ZERO BINDING ENERGIES; AZIMUTHALLY SYMMETRIZED CYLINDRICAL COORDINATES2013-12-10Paper
Comment on ‘Nonlinear dynamics of a position-dependent mass-driven Duffing-type oscillator’2013-10-17Paper
(1+1)-Dirac bound states in one-dimension; position-dependent Fermi velocity and mass2012-09-29Paper
Classical and quantum quasi-free position dependent mass; P\"oschl-Teller and ordering-ambiguity2012-08-06Paper
A singular position-dependent mass particle in an infinite potential well2011-11-30Paper
Radial power-law position-dependent mass: cylindrical coordinates, separability and spectral signatures2011-10-10Paper
On Dirac equation for a Coulomb scalar, vector, and tensor interaction2011-08-30Paper
A quasi-free position-dependent mass jump and self-scattering correspondence2011-06-22Paper
Flatland position-dependent-mass: polar coordinates, separability and exact solvability2011-06-17Paper
Position-dependent-mass: cylindrical coordinates, separability, exact solvability and \mathcal {PT} -symmetry2010-10-11Paper
Spherical-separability of non-Hermitian Hamiltonians and pseudo-\(\mathcal{PT}\)-symmetry2009-04-21Paper
\(\eta \)-weak-pseudo-hermiticity generators and radially symmetric Hamiltonians2009-03-24Paper
Quantum particles trapped in a position-dependent mass barrier; a \(d\)-dimensional recipe2008-09-05Paper
Complexified von Roos Hamiltonian's η-weak-pseudo-Hermiticity, isospectrality and exact solvability2008-07-02Paper
\((1+1)\)-Dirac particle with position-dependent mass in complexified Lorentz scalar interactions: Effectively \(\mathcal{PT}\)-symmetric2008-06-23Paper
Energy-levels crossing and radial Dirac equation: Supersymmetry and quasi-parity spectral signatures2008-06-23Paper
First-order intertwining operators with position dependent mass and \(\eta\)-weak-pseudo-hermiticity generators2008-06-11Paper
Ordering ambiguity revisited via position dependent mass pseudo-momentum operators2007-11-21Paper
Non-Hermitian \(d\)-dimensional Hamiltonians with position-dependent mass and their \(\eta\)-pseudo-Hermiticity generators2007-03-27Paper
Comment on ‘Position-dependent effective mass Dirac equations withPT-symmetric and non-PT-symmetric potentials’2007-03-07Paper
d-dimensional generalization of the point canonical transformation for a quantum particle with position-dependent mass2006-08-30Paper
Asymptotic solvability of an imaginary cubic oscillator with spikes2004-06-09Paper
Reply to Comment  On large-N expansion2004-06-09Paper
PT-symmetric pseudo-perturbation recipe: an imaginary cubic oscillator with spikes2004-02-15Paper
Dirac and Klein Gordon particles in complex Coulombic fields: a similarity transformation2004-01-29Paper
Perturbed Coulombic potentials in Dirac and Klein-Gordon equations2003-07-10Paper
Spectra of 2D H-donors in magnetic field and their Zeeman splitting2001-01-30Paper
Pseudo perturbative expansion method; the non-polynomial, cutoff - Coulomb, and Coulomb plus logarithmic potentials2001-01-27Paper
On the quasi - exact solvability of a singular potential in D - dimensions; confined and unconfined2001-01-27Paper
Part of the D - dimensional anharmonic oscillator spectra2001-01-27Paper
Bound states for truncated Coulomb potentials2001-01-14Paper
Part of theD-dimensional spiked harmonic oscillator spectra2000-12-13Paper
Magnetic fingerprints on the spectra of one-electron and two-electrons interacting in parabolic quantum dots2000-10-22Paper
Energy levels of neutral atoms via a new perturbation method2000-07-14Paper
Quasi-relativistic harmonic oscillator bound states2000-04-25Paper
Perturbed Coulomb potentials in the Klein-Gordon equation via the shifted-lexpansion technique1999-12-19Paper
2D H-atom in an arbitrary magnetic field via pseudoperturbation expansions through the quantum number l1999-11-01Paper
Nonrelativistic shifted-l expansion technique for three- and two-dimensional Schrodinger equation1999-10-26Paper
Relativistic shifted-l expansion technique for Dirac and Klein-Gordon equations1999-10-25Paper
Bound states for spiked harmonic oscillators and truncated Coulomb potentials1999-10-19Paper
Exact energy eigenvalues of the generalized Dirac-Coulomb equation via a modified similarity transformation1999-10-19Paper

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