Department of Physics and Chemistry

Omar Mustafa, PhD

Professor, Department of Physics and Chemistry

Tel.: +90-392-630-1378

Office: AS 343

Email: This e-mail address is being protected from spambots. You need JavaScript enabled to view it

Homepage: http://iamscientist.com/people/omarmustafa

Curriculum Vitae

Education

BS: Physics, Yarmouk University, Irbid - JORDAN, 1984

MS: Mathematical Physics, METU Ankara - TURKEY, 1987

PhD: Theoretical Particle/Mathematical Physics, METU, Ankara - TURKEY , 1991

Current Research and Teaching

- Mathematical methods in quantum mechanics.
- Pseudo-perturbation theories.
- Anharmonic, spiked harmonic, Singular- harmonic, and quasi-relativistic harmonic oscillators.
- Magnetic fingerprints for the spectra of one- and two-electron quantum dots.
- Quarkonium mass spectroscopy and decay widths.
- Quasi-exact (conditional) solvability of some quantum mechanical systems
- PT-symmetric Quantum Mechanics.
- Supersymmetric quantum mechanics.
- Pseudo-Hermiticity of non-Hermitian Hamiltonians.
- Point canonical transformation and position-dependent mass Hamiltonians.
- Position-dependent-mass and ordering ambiguity.
- Position-dependent-mass and ordering ambiguity in the non-Hermitian settings.
- Position-dependent-mass scatterers.

Journal Review

Journal of Physics A: Math. and Theor., IOP, Bristol, UK. http://www.iop.org

Physica Scripta, Swedish Academy of Sciences. http://www.iop.org

SIGMA (Symmetry, Integrability and Geometry: Methods and Applications). http://www.emis.de

International Journal of Theoretical Physics: http://www.springerlink.com/content/1572-9575/

American Mathematical Reviews/AMS. http://www.ams.org/mr-database.

International Journal of Modern Physics E. http://ejournals.wspc.com.sg/ijmpe/ijmpe.shtml

Physics Letters A. http://ees.elsevier.com/pla/default.asp

Selected Publications

O. Mustafa and R. Sever, Phys Rev A 44, 4142 (1991). "Shifted 1/N expansion for the Klein - Gordon equation with vector and Scalar potentials." SCI-journal.

O. Mustafa, J. Phys.: Condens Matter 5, 1327 (1993). "The Shifted 1/N Expansion for Two - Dimensional Hydrogenic Donor States in an arbitrary Magnetic Field." SCI-journal.

O. Mustafa and S. C. Chhajlany,  Phys. Rev. A 50, 2926 (1994). "Ground - state energies of hydrogenic atoms in a uniform magnetic field of arbitrary strength." SCI-journal.

O. Mustafa and M. Odeh, J. Phys. A: Math. & Gen 33, 5207 (2000); arXiv: math-ph/0006004. " Part of the D -- dimensional Spiked harmonic oscillator spectra" SCI-journal.

M. Znojil, F. Gemperle, and O. Mustafa; J. Phys. A 35, 5781 (2002): arXiv: hep-th/0205181. "Asymptotic solvability of an imaginary cubic oscillator with spikes" SCI-journal.

O Mustafa and M. Znojil; J. Phys. A 35, 8929 (2002); arXiv: math-ph/0206042, " PT- symmetric pseudo-perturbation recipe; an imaginary cubic oscillator with spikes" SCI-journal.

O. Mustafa; J. Phys. A 36, 5067 (2003) ; arXiv: math-ph/0301017. "Dirac and Klein-Gordon particles in complex Coulombic fields; a similarity transformation" SCI-journal.

O. Mustafa and S. Habib Mazharimousavi, J. Phys. A: Math. & Gen. 39, 10537 (2006): arXiv: math-ph/0602044 "d-dimensional generalization of the Point Canonical Transformation for a quantum particle with position dependent mass". SCI-journal.

O. Mustafa and S. Habib Mazharimousavi, Phys. Lett. A 358, 258 (2006): arXiv: quant-ph/0603134 "Quantum particles trapped in a position-dependent mass barriers; a d-dimensional recipe". SCI-journal.

O. Mustafa and S. Habib Mazharimousavi, Czech. J. Phys. 56, 967 (2006): arXiv: quant-ph/0601017 "Non-Hermitian d-dimensional Hamiltonians with position dependent mass and their η-Pseudo-Hermiticity generators", SCI-journal.

O. Mustafa, Int. J. Theor. Phys. 47, 1300 (2008): arXiv: quant-ph/0703078 "Energy-levels crossing and radial Dirac equation: Supersymmetry and quasi-parity spectral signatures", SCI-journal.

O. Mustafa and S. Habib Mazharimousavi Int. J. Theor. Phys. 47, 2029 (2008): arXiv: hep-th/0601017 " η-weak-pseudo-Hermiticity generators and radially symmetric Hamiltonianss". SCI-journal.

O. Mustafa and S. Habib Mazharimousavi J. Phys. A: Math. Theor. 41, 244020 (2008): arXiv: quant-ph/0707.3738 "Complexified von Roos Hamiltonian's η-weak-psuedo-Hermiticity, isospectrality and exact solvability". SCI-journal..

O. Mustafa and S. Habib Mazharimousavi Phys. Scr. 82, 065013 (2010): arXiv:0906.4534.  "A quasi-free position-dependent-mass jump and self-scattering correspondence". SCI-journal

O. Mustafa (2010): J. Phys. A: Math. Theor. 43, 385310 (2010) arXiv: 0051757 "Position-dependent-mass; Cylindrical coordinates, separability, exact solvability, and PT-symmetry", SCI-journal.