Nasser Saad

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Contact Information
Title Associate Professor
Education BSc (Honours) Mathematics, Ain Shames University, Cairo, Egypt (1984); MSc Mathematics, Concordia University (1993); PhD Mathematics, Concordia University (1998)
Office Cass 401
Email nsaad@upei.ca
Phone 1 902-566-0357
Fax 1 902-566-0466

Research Interests

Special Functions
Singular Potentials
Asymptotic Iteration Method
Spectral Geometry


My Research Profile

 

Publications

Professor Richard L. Hall's home page at Concordia University
Hakan Ciftci's home page at Gazi University
Professor Hari M. Srivastava's home page at University of Victoria

Click here for my listings on the arXiv.

Click here for my listings on MathSciNet site.

  1. Asymptotic Iteration method for singular potentials [ps-pdf]
    Brodie Champion, Richard L. Hall and Nasser Saad
    Int. J. Mod. Phys. A (2008) In Press.
  2. The Klein-Gordon equation with the Kratzer potential in d dimensions [ps-pdf]
    Nasser Saad, Richard L. Hall and Hakan Ciftci
    Central European Journal of Physics (2008) In Press.
  3. The Klein-Gordon equation with a generalized Hulthen potential in D-dimensions [ps-pdf]
    Nasser Saad
    Phys. Scr. 76 (2007) 623-627.
  4. Eigenvalue bounds for polynomial central potentials in d dimensions [ps-pdf]
    Qutaibeh D. Katatbeh, Richard L. Hall and Nasser Saad
    J. Phys. A: Math. Theor. 40 (2007) 13431-13442.
  5. Solutions for certain classes of Riccati differential equation [ps-pdf]
    Nasser Saad, Richard L. Hall and Hakan Ciftci
    J. Phys. A: Math. Theor. (2007) In Press.
  6. Wave equation and dispersion relations for a compressible rotating fluid [ps-pdf]
    Jose Marin-Antuna, Richard L. Hall, and Nasser Saad
    Phys. Lett. A 362 (2007) 57 - 60.
  7. Criterion for polynomial solutions to a class of linear differential equation of second order [ps-pdf]
    Nasser Saad, Richard L. Hall and Hakan Ciftci
    J. Phys. A: Math. Gen. 39 (2006) 13445-13454.
  8. Sextic anharmonic oscillators and orthogonal polynomials [ps-pdf]
    Nasser Saad, Richard L. Hall and Hakan Ciftci
    J. Phys. A: Math. Gen. 39 (2006) 8477-8486.
  9. Study of a class of non-polynomial oscillator potentials [ps-pdf]
    Nasser Saad, Richard L. Hall and Hakan Ciftci
    J. Phys. A: Math. Gen. 39 (2006) 7745-7756.
  10. Iterative solutions to the Dirac equation [ps-pdf]
    Hakan Ciftci, Richard L. Hall, and Nasser Saad
    Phys. Rev. A, 72, 022101 (2005).
  11. Green's function for a Schreodinger operator and some related summation formulas [ps-pdf]
    Attila B. von Keviczky, Nasser Saad and Richard L. Hall
    J. Math. Phys., 46, 073512 (2005).
  12. Perturbation theory in a framework of iteration methods [ps-pdf]
    Hakan Ciftci, Richard L. Hall, and Nasser Saad
    Phys. Lett. A, 340, 388-396 (2005).
  13. Construction of exact solutions to eigenvalue problems by the asymptotic iteration method [ps-pdf]
    Hakan Ciftci, Richard L. Hall, and Nasser Saad
    J. Phys. A: Gen. Math. 38, 1147-1155 (2005).
  14. Study of Anharmonic Singular Potentials [ps-pdf]
    Nasser Saad, Richard L. Hall, and Qutaibeh D. Katatbeh
    J. Math. Phys. 46, 022104-022119 (2005).
  15. Some Reduction and Transformation Formulas for the Appell hypergeometric function F2
    Sheldon Opps, Nasser Saad, and H. M. Srivastava
    J. Math. Anal. Appl. 302, 184-199 (2005).
  16. A basis for variational calculations in d dimensions [ps-pdf]
    Richard L. Hall, Qutaibeh D. Katatbeh, and Nasser Saad
    J. Phys. A: Math. Gen. 37, 11629-11644 (2004).
  17. Temporally stable coherent states for a free magnetic Schroedinger operator [ps-pdf]
    K. Thirulogasanthar, Nasser Saad, and Attila B von Keviczky
    J. Math. Phys., 45, 2694-2717 (2004).
  18. Friedrichs Extensions of Schroedinger Operators with Singular Potentials [ps-pdf]
    Attila B von Keviczky, Nasser Saad, and Richard L. Hall
    J. Math. Anal. Appl., 292, 274-293 (2004).
  19. Coherent States associated with the wavefunctions and the spectrum of the isotonic oscillator [ps-pdf]
    K. Thirulogasanthar and Nasser Saad
    J. Phys. A: Math. Gen. 37, 4567-4577 (2004).
  20. Perturbation expansions for a class of singular potentials [ps-pdf]
    Nasser Saad, Richard L. Hall and Attila B von Keviczky
    J. Math. Phys. 44, 5021-5041 (2003).
  21. Asymptotic iteration method for eigenvalue problems [ps-pdf]
    Hakan Ciftci, Richard L. Hall, and Nasser Saad
    J. Phys. A 36, 11807-11816 (2003) .
  22. Integrals containing confluent hypergeometric functions with applications to perturbed singular potentials [ps-pdf]
    Nasser Saad, Richard L. Hall and Attila B von Keviczky
    J. Phys. A.: Gen. Math. 36, 7771-7788 (2003)
  23. Energy bounds for a class of singular potentials and some related series [ps-pdf]
    Nasser Saad, Richard L. Hall and Attila B von Keviczky,
    J. Phys. A.: Gen. Math. 36, 487-498 (2003)
  24. Closed-form sums for some perturbation series involving hypergeometric functions [ps-pdf]
    Nasser Saad and Richard L. Hall
    J. Phys. A.: Gen. Math. 35, 4105-4123 (2002)
  25. Spiked harmonic oscillators [ps-pdf]
    Richard L. Hall, Nasser Saad, and Attila B von Keviczky
    J. Math. Phys. 43, 94-112 (2002).
  26. Closed-form sums for some perturbation series involving associated Laguerre polynomials [ps-pdf]
    Richard L. Hall, Nasser Saad, and Attila B von Keviczky
    J. Phys. A: Math. Gen. 34, 11287-11300 (2001).
  27. Generalized spiked harmonic oscillator [ps-pdf]
    Richard L. Hall, Nasser Saad, and Attila B von Keviczky
    J.Phys. A: Math. Gen. 34, 1169-1179 (2001).
  28. Perturbation expansions for the spiked harmonic oscillator and related series involving the gamma function [ps pdf]
    Richard L. Hall and Nasser Saad
    J.Phys. A: Math. Gen. 33, 5531-5537 (2000).
  29. Variational analysis for a generalized spiked harmonic oscillator [ps pdf]
    Richard L. Hall and Nasser Saad
    J. Phys. A: Math. Gen. 33, 569-578 (2000).
  30. Eigenvalue bounds for a class of singular potentials in N dimensions [pdf]
    Richard L. Hall and Nasser Saad
    J. Phys. A: Math. Gen. 32, 133-138 (1999).
  31. Matrix elements for a generalized spiked harmonic oscillator [pdf]
    Richard L. Hall, Nasser Saad, and Attila B. von Keviczky
    J. Math. Phys. 39, 6345-6352 (1998)
  32. Smooth transformations of Kratzer's potential in N dimensions
    Richard L. Hall and Nasser Saad
    J. Chem. Phys. 109, 2983-2986 (1998).
  33. Eigenvalue bounds for a class of singular potentials
    Richard L. Hall and Nasser Saad
    J. Phys. A: Math. Gen. 31, 963-967 (1998).
  34. Eigenvalue comparisons for quantum systems in a box
    Richard L. Hall and Nasser Saad
    Phys. Lett. A 237, 107-112 (1998)
  35. Bounds on Schrödinger eigenvalues for polynomial potentials in N dimensions [pdf]
    Richard L. Hall and Nasser Saad
    J. Math. Phys. 38, 4909-4913 (1997)
  36. Eigenvalue bounds for transformations of solvable potentials,
    Richard L. Hall and Nasser Saad
    J. Phys. A: Math. Gen. 29, 2127-2137 (1996).
  37. The quantum-mechanical box effect [pdf]
    Richard L. Hall and Nasser Saad
    J. Phys. A. Math. Gen. 29, 2127-2137 (1996).
  38. Energy bounds for the spiked harmonic oscillator
    Richard L. Hall and Nassser Saad
    Can. J. Phys. 73 , 493-496 (1995).