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Browsing PHY – Journal Articles: Publisher & Author Versions (Post-Print Author Versions) – Physics by Author "Eastern Mediterranean University, Faculty of Arts and Sciences, Department of Physics"

Now showing items 1-20 of 25

Anharmonic oscillators energies via artificial perturbation method

Mustafa, Omar; Odeh, Maen (Springer-Verlag, 2000)

A new pseudoperturbative (artificial in nature) methodical proposal [15] is used to solve for Schrodinger equation with a class of phenomenologically useful and methodically challenging anharmonice oscillator potentials ...
Application of Pseudo-Hermitian Quantum Mechanics to a PT-Symmetric Hamiltonian with a Continuum of Scattering States

Mostafazadeh, Ali; Mustafa, Omar (American Institute of Physics, 2005)

We extend the application of the techniques developed within the framework of the pseudo-Hermitian quantum mechanics to study a unitary quantum system described by an imaginary PT-symmetric potential v(x) having a continuous ...
Asymptotic solvability of an imaginary cubic oscillator with spikes

Znojil, Miloslav; Gemperle, Frantisek; Mustafa, Omar (IOP Publishing, 2002)

For complex potentials V(x) = -(ix)(3) -beta(2)(ix)(-2) - 2betadelta(ix)(1/2) which are PT symmetric, we show that in beta much greater than 1 strong coupling regime the low-lying bound states almost coincide with harmonic ...
Auxiliary Quantization Constraints On The Von Roos Ordering-Amiguity At Zero Binding Energies; Azimuthally Symmetrixed Cylindrical Coordinates

Mustafa, Omar (World Scientific Publishing Company, 2013)

Using azimuthally symmetrized cylindrical coordinates, we report the consequences of zero-energy quantal states on the von Roos Hamiltonian. A position-dependent mass (PDM) M(rho, phi, z) = bz(j)rho(2 upsilon+1)/2 is used. ...
Canonical Acoustic Thin-Shell Wormholes

Jusufi, Kimet; Övgün, Ali (World Scientific Publishing Co Pte Ltd, 2017-02-16)

In this paper, we model a canonical acoustic thin-shell wormhole (CATSW) in the framework of analogue gravity systems. In this model, we apply cut and paste technique to join together two spherically symmetric, analogue ...
Classical and quantum quasi-free position-dependent mass: Pöschl-Teller and ordering ambiguity

Mazharimousavi, Habib S.; Mustafa, Omar (IOP Publishing, 2013)

We argue that the classical and quantum mechanical correspondence may play a basic role in the fixation of the ordering ambiguity parameters. We use quasi-free position-dependent masses in the classical and quantum frameworks. ...
Complexified von Roos Hamiltonian's η-weak-pseudo-Hermiticity, isospectrality and exact solvability

Mustafa, Omar; Mazharimousavi, Habib S. (IOP Publishing, 2008)

A complexified von Roos Hamiltonian is considered and a Hermitian first-order intertwining differential operator is used to obtain the related position-dependent mass η-weak-pseudo-Hermitian Hamiltonians. Using a ...
Energy-Levels Crossing and Radial Dirac Equation: Supersymmetry and Quasi-Parity Spectral Signatures

Mustafa, Omar (Springer US, 2008)

The (3+1)-dimensional Dirac equation with position dependent mass in 4-vector electromagnetic fields is considered. Using two over-simplified examples (the Dirac-Coulomb and Dirac-oscillator fields), we report energy-levels ...
Energy levels of neutral atoms via a new perturbation method

Mustafa, Omar; Odeh, Maen (Springer, 2001)

The energy levels of neutral atoms supported by Yukawa potential, V(r)=-Z exp(-\alpha r)/r, are studied, using both dimensional and dimensionless quantities, via a new analytical methodical proposal (devised to solve for ...
Gravitational Lensing Effect on the Hawking Radiation of Dyonic Black Holes

Sakllı, İzzet; Övgün, Ali; Mirekhtiary, S.F. (World Scientific Publishing, 2014-06-24)

In this paper, we analyze the Hawking radiation (HR) of a non-asymptotically flat (NAF) dyonic black hole (dBH) in four-dimensional (4D) Einstein–Maxwell–Dilaton (EMD) gravity by using one of the semiclassical approaches ...
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 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 ...
A particular thin-shell wormhole

Sakallı, İzzet; Övgün, Ali (Springer, 2017-02-09)

Using a black hole with scalar hair, we construct a scalar thin-shell wormhole (TSW) in 2+1 dimensions by applying the Visser cut and paste technique. The surface stress, which is concentrated at the wormhole throat, is ...
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

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 ...