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Browsing 08 Faculty of Arts and Sciences by Author "Mustafa, Omar"

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(1+1)-Dirac particle with position-dependent mass in complexified Lorentz scalar interactions: Effectively PT-symmetric

Mustafa, Omar; Mazharimousavi, Seyed Habib (SPRINGER/PLENUM PUBLISHERS, 2008-04)

The effect of the built-in supersymmetric quantum mechanical language on the spectrum of the (1 + 1)-Dirac equation, with position-dependent mass (PDM) and complexified Lorentz scalar interactions, is re-emphasized. The ...
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 ...
Approach to the shifted 1/N expansion for the Klein - Gordon equation

Mustafa, Omar; Sever, Ramazan (American Physical Society (APS), 1991)

A different approach to the shifted 1/N expansion technique is developed to deal with the Klein-Cxordon particle trapped in a spherically symmetric potential. Properly modifying the definition of the perturbative expansion ...
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. ...
Bound states for spiked harmonic oscillators and truncated Coulomb potentials

Mustafa, Omar; Maen, Odeh (IOP Publishing, 1999)

We propose a new analytical method to solve for the nonexactly solvable Schrodinger equation. Successfully, it is applied to a class of spiked harmonic oscillators and truncated Coulomb potentials. The utility of this ...
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. ...
Comment on 'Nonlinear dynamics of a position-dependent mass-driven Duffing-type oscillator'

Mustafa, Omar (IOP Publishing, 2013-09)

Using a generalized coordinate along with a proper invertible coordinate transformation, we show that the Euler–Lagrange equation used by Bagchi et al (2013 J. Phys. A: Math. Theor. 46 032001) is in clear violation of ...
Comment on 'Position-dependent effective mass Dirac equations with PT-symmetric and non-PT-symmetric potentials

Mustafa, Omar; Mazharimousavi, Habib S. (IOP Publishing, 2007)

Jia and Dutra (2006 J. Phys. A: Math. Gen. 39 11877) have considered the one-dimensional non-Hermitian complexified potentials with real spectra in the context of position-dependent mass in the Dirac equation. In their ...
Complexified von Roos Hamiltonian's η-weak-pseudo-Hermiticity, isospectrality and exact solvability

Mustafa, Omar; Mazharimousavi, Seyed Habib (IOP Science, 2008-06)

A complexified von Roos Hamiltonian is considered and a Hermitian firstorder intertwining differential operator is used to obtain the related positiondependent mass η-weak-pseudo-HermitianHamiltonians. Using a Liouvilleantype ...
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 ...
d-dimensional generalization of the point canonical transformation for a quantum particle with position-dependent mass

Mustafa, Omar; Mazharimousavi, Seyed Habib (IOP Science, 2006-08-02)

The d-dimensional generalization of the point canonical transformation for a quantum particle endowed with a position-dependent mass in the Schr¨odinger equation is described. Illustrative examples including the harmonic ...
Dirac and Klein–Gordon particles in complex Coulombic fields: a similarity transformation

Mustafa, Omar (IOP Publishing, 2003)

The observation that the existence of the amazing reality and discreteness of the spectrum need not necessarily be attributed to the Hermiticity of the Hamiltonian is re-emphasized in the context of the non-Hermitian Dirac ...
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 ...
Energy levels of neutral atoms via a new perturbation method

Mustafa, Omar; Odeh, Maen (Inst Physıcs Acad Scı Czech Republıc, 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 ...
Exactly solvable nonseparable and nondiagonalizable two-dimensional model with quadratic complex interaction

Cannata, Francesco; Loffe, M.V; Nishnianidze, D. N; Mustafa, Omar (American Institute of Physics, 2010)

We study a quantum model with nonisotropic two-dimensional oscillator potential but with additional quadratic interaction x1x2x1x2 with imaginary coupling constant. It is shown that for a specific connection between coupling ...
First-Order Intertwining Operators with Position Dependent Mass and η-Weak-Pseudo-Hermiticity Generators

Mustafa, Omar; Mazharimousavi, Seyed Habib (SPRINGER/PLENUM PUBLISHERS, 2008-02)

A Hermitian and an anti-Hermitian first-order intertwining operators are introduced and a class of η-weak-pseudo-Hermitian position-dependent mass (PDM) Hamiltonians are constructed. A corresponding reference-target ...
Flatland Position-Dependent-Mass: Polar Coordinates, Separability and Exact Solvability

Mustafa, Omar; Mazharimousavi, Habib S. (Natl Acad Sci Ukraine, 2010)

The kinetic energy operator with position-dependent-mass in plane polar coordinates is obtained. The separability of the corresponding Schrodinger equation is discussed. A hypothetical toy model is reported and two exactly ...