DSpace Home
→
08 Faculty of Arts and Sciences
→
Department of Physics
→
Browsing Department of Physics by Author

Browsing Department of Physics by Author "Eastern Mediterranean University, Faculty of Arts & Sciences, Department of Physics"

Now showing items 1-16 of 16

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 ...
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 ...
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 ...
Multiplicative Finite Difference Methods

Rıza, Mustafa; Özyapıcı, Ali; Mısırlı, Emine (Brown University, 2009)

Based on multiplicative calculus, the finite difference schemes for the numerical solution of multiplicative differential equations and Volterra differential equations are presented. Sample problems were solved using these ...
Non-Hermitian Hamiltonian versus E = 0 localized states

Mazharimousavi, Seyed Habib (IOP Science, 2008-06)

We analyze the zero energy solutions, of a two-dimensional system which undergoes a non-radial symmetric, complex potential V (r,φ). By virtue of the coherent states concept, the localized states are constructed, and the ...
On multiplicative and Volterra minimization methods

Özyapıcı, Ali; Rıza, Mustafa; Bilgehan, Bülent; Bashirov, Agamirza (Springer US, 2014)

Theory and applications of multiplicative and Volterra calculi have been evolving rapidly over the recent years. As numerical minimization methods have a wide range of applications in science and engineering, the idea of ...
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 ...
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 Realizable Quantum Three-Pass Protocol Authentication Based on Hill-Cipher Algorithm

Abdullah, Alharith A.; Khalaf, Rifaat; Rıza, Mustafa (Hindawi Publishing Corporation, 2015)

A realizable quantum three-pass protocol authentication based on Hill-cipher algorithm is presented by encoded and decoded plaintext using classical Hill-cipher algorithm. It is shown that the encoded message transferred ...
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 ...
The Runge-Kutta method in geometric multiplicative calculus

Rıza, Mustafa; Aktöre, Hatice (Cambridge Univ Press, 2015)

This paper illuminates the derivation, applicability, and efficiency of the multiplicative Runge Kutta method, derived in the framework of geometric multiplicative calculus. The removal of the restrictions of geometric ...
Spherical-separability of Non-Hermitian Hamiltonians and Pseudo-PT -symmetry

Mustafa, Omar; Mazharimousavi, Seyed Habib (Springer, 2009-01)

Non-Hermitian but PϕTϕ-symmetrized spherically-separable Dirac and Schrödinger Hamiltonians are considered. It is observed that the descendant Hamiltonians Hr , Hθ , and Hϕ play essential roles and offer some “user-feriendly” ...
Supersymmetric Extension of Non-Hermitian su(2) Hamiltonian and Supercoherent States

Mustafa, Omar (SIGMA, 2010)

A new class of non-Hermitian Hamiltonians with real spectrum, which are written as a real linear combination of su(2) generators in the form H=ωJ3+αJ−+βJ+, α≠β, is analyzed. The metrics which allows the transition to the ...
Variational approach to the tunneling-time problem

Bracher, Christian; Rıza, Mustafa; Kleber, Markus (AMER PHYSICAL SOC, 1999)

Tunneling problems are characterized by different quantum time scales of motion. In this paper, we identify a tunneling time scale, which is based on a simple variational principle. The method utilizes the stationary e ...
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 ...