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Browsing 08 Faculty of Arts and Sciences by Author "Mazharimousavi, Habib S."

Now showing items 1-9 of 9

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 '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, 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 ...
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 ...
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 ...
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 ...
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 ...
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 ...
η-weak-pseudo-Hermiticity generators and exact solvability

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

Exact solvability of some non-Hermitian η-weak-pseudo-Hermitian Hamiltonians is explored as a byproduct of η-weak-pseudo-Hermiticity generators. A class of V (x) = V (x) + i W (x) potentials is considered, where the imaginary ...