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Browsing Department of Physics by Author "Mazharimousavi, Seyed Habib"

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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 ...
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 ...
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 ...
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 ...
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 ...
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 ...
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” ...
η-Weak-Pseudo-Hermiticity Generators and Radially Symmetric Hamiltonians

Mustafa, Omar; Mazharimousavi, Seyed Habib (SPRINGER/PLENUM PUBLISHERS, 2008-07)

A class η-weak-pseudo-Hermiticity generators for spherically symmetric non- Hermitian Hamiltonians are presented. An operators-based procedure is introduced so that the results for the 1D Schrödinger Hamiltonian may very ...