Browsing by Author "Mustafa, Omar"

Magnetic fingerprints on the spectra of one electron and two electrons interacting in parabolic quantum dots

Mustafa, Omar; Odeh, Maen (INST PHYSICS ACAD SCI CZECH REPUBLIC, Springer (Online Publishing), 2002)

Magnetic fingerprints on the spectra of an interacting electron with a negatively charged ion in a parabolic quantum dot (QD), and of two interacting electrons in such a dot, are investigated via a pseudoperturbative ...

A new deformed Schioberg-type potential and ro-vibrational energies for some diatomic molecules

Mustafa, Omar (IOP Publishing, 2015)

We suggest a new deformed Schioberg-type potential for diatomic molecules. We show that it is equivalent to Tietz-Hua oscillator potential. We discuss how to relate our deformed Schi\"oberg potential to Morse, to Deng-Fan ...

Non-Hermitian d-dimensional Hamiltonians with position-dependent mass and their η-pseudo-Hermiticity generators

Mustafa, Omar; Mazharimousavi, Habib S. (Springer, 2006)

A class of non-Hermitian d-dimensional Hamiltonians with position-dependent mass and their η-pseudo-Hermiticity generators is presented. Illustrative examples are given in 1D, 2D, and 3D for different position-dependent ...

On the quasi-exact solvability of a singular potential in D-dimensions: Confined and unconfined

Mustafa, Omar (Inst Physics Acad Sci Czech Republic, Springer (Online Publishing), 2002)

The D -dimensional quasi - exact solutions for the singular even - power anharmonic potential V(q)=aq^2+bq^{-4}+cq^{-6} are reported. We show that whilst Dong and Ma's [5] quasi - exact ground - state solution (in D=2) is ...

On the ro-vibrational energies for the lithium dimer; maximum-possible rotational levels

Mustafa, Omar (IOP Publishing, 2015)

The Deng-Fan potential is used to discuss the reliability of the improved Greene-Aldrich approximation and the factorization recipe of Badawi et al [17] for the central attractive/ repulsive core J( J + 1)/2 mu r(2). The ...

On the spectroscopic structure of two interacting electrons in a quantum dot

Mustafa, Omar (INST PHYSICS ACAD SCI CZECH REPUBLIC, Springer (Online Publishing), 2003)

The shifted 1/N expansion technique used by El-Said [Phys. Rev. B 61 (2000) 13026], to study the relative Hamiltonian of two interacting electrons confined in a quantum dot, is investigated. El-Said's results from shifted ...

Ordering Ambiguity Revisited via Position Dependent Mass Pseudo-Momentum Operators

Mustafa, Omar; Mazharimousavi, Habib S. (Springer, 2007)

Ordering ambiguity associated with the von Roos position dependent mass (PDM) Hamiltonian is considered. An affine locally scaled first order differential introduced, in Eq. (9), as a PDM-pseudo-momentum operator. Upon ...

PDM-Charged Quantum Particles Moving in Magnetic Fields

Algadhi, Zeinab Saleh Musbah (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2020)

The classical and quantum mechanical correspondence for constant mass settings is used, along with some nonlocal point transformation (NPT), to find the position-dependent mass (PDM) classical and quantum Hamiltonians. ...

Perturbed coulombic potentials in dirac and Klein-Gordon equations

Mustafa, Omar (INST PHYSICS ACAD SCI CZECH REPUBLIC , Springer(Online publishing), 2004)

A relativistic extension of our pseudo-perturbative shifted l-expansion technique is presented to solve for the eigenvalues of Dirac and Klein-Gordon equations. Once more we show the numerical usefulness of its results via ...

Perturbed Coulomb potentials in the Klein-Gordon equation via the shifted- l expansion technique

Barakat, Thabit; Maen, Odeh; Mustafa, Omar (IOP PUBLISHING LTD, 1998)

A shifted-l expansion technique is introduced to calculate the energy eigenvalues for the Klein-Gordon (KG) equation with Lorentz vector and/or Lorentz scalar potentials. Although it applies to any spherically symmetric ...

Position-dependent-mass: Cylindrical coordinates, separability, exact solvability and PT-symmetry

Mustafa, Omar (IOP Publishing, 2010)

The kinetic energy operator with position-dependent-mass in cylindrical coordinates is obtained. The separability of the corresponding Schrodinger equation is discussed within radial cylindrical mass settings. Azimuthal ...

Position-dependent Mass Lagrangians: Nonlocal Transformations, Euler-Lagrange Invariance and Exact Solvability

Abdulrahman, Ibrahim Mustafa (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2016-09)

This thesis reviews some features of the PDM Lagrangians. We reach the mapping of the PDM equation into a unit-mass Lagrangian in the generalized coordinates by the insertion of a nonlocal point transformation. The invariance ...

Position-dependent mass Lagrangians: nonlocal transformations, Euler-Lagrange invariance and exact solvability

Mustafa, Omar (IOP Publishing, 2015)

A general nonlocal point transformation for position-dependent mass (PDM) Lagrangians and their mapping into a 'constant unit-mass' Lagrangians in the generalized coordinates is introduced. The conditions on the invariance ...

Quantum particles trapped in a position-dependent mass barrier; a d-dimensional recipe

Mustafa, Omar; Mazharimousavi, Seyed Habib (Elsevier, 2006-10-23)

We consider a free particle, V (r) = 0, with a position-dependent mass m(r) = 1/(1 + ς2r2)2 in the d-dimensional Schrödinger equation. The effective potential turns out to be a generalized Pöschl–Teller potential that ...

A quasi-free position-dependent mass jump and self-scattering correspondence

Mustafa, Omar; Mazharimousavi, Habib S. (IOP Publishing, 2010-11)

A quasi-free quantum particle endowed with a Heaviside position-dependent mass jump is observed to experience scattering effects manifested by its by-product introduction of the derivative of the Dirac delta point dipole ...

Radial power-law position-dependent mass: Cylindrical coordinates, separability and spectral signatures

Mustafa, Omar (IOP Publishing, 2011)

We discuss the separability of the position-dependent-mass (PDM) Hamiltonian in cylindrical coordinates in the framework of a radial power-law PDM. We consider two particular radial mass settings: a harmonic oscillator ...

Real spectra for non-Hermitian Dirac equation in 1+1 dimensions with a most general coupling

Mustafa, Omar (Elsevier, 2009)

The most general combination of couplings of fermions with external potentials in 1+1 dimensions, must include vector, scalar and pseudoscalar potentials. We consider such a mixing of potentials in a PT-symmetric ...

Shifted 1/N expansion for the Klein-Gordon equation with vector and scalar potentials

Mustafa, Omar; Sever, Ramazan (American Physical Society (APS), 1990)

The shifted 1/N expansion method has been extended to solve the Klein-Gordon equation with both scalar and vector potentials. The calculations are carried out to the third-order correction in the energy series. The analytical ...

The shifted-1/N-expansion method for two-dimensional hydrogenic donor states in an arbitrary magnetic field

Mustafa, Omar (Institute of Physics (IOP) Publishing, 1993)

The shifted-1/N-expansion method has been used to study the energy levels for a 2D donor impurity in the presence of an arbitrary magnetic field. Exact analytical expressions for the energy levels at zero- and high-field ...

A singular position-dependent mass particle in an infinite potential well

Mustafa, Omar; Mazharimousavi, Habib S. (Elsevier B.V, 2009)

An unusual singular position-dependent-mass particle in an infinite potential well is considered. The corresponding Hamiltonian is mapped through a point-canonical-transformation and an explicit correspondence between the ...

Browsing by Author "Mustafa, Omar"

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