Publications

Journal articles[1]:

1.     H. A. Yamani, M. S. Abdelmonem, and A. D. Al-Haidari, “Extracting density information from finite Hamiltonian matrices”, Phys. Rev. A 62.05 (2000) 052103/11p

2.     A. D. Alhaidari, “Group-theoretical foundation of the J-matrix theory of scattering”, J. Phys. A 33.38 (2000) 6721-6738

3.     A. D. Alhaidari, H. A. Yamani, and M. S. Abdelmonem, “Relativistic J-matrix theory of scattering”, Phys. Rev. A 63.06 (2001) 062708/12p

4.     H. A. Yamani, A. D. Alhaidari, and M. S. Abdelmonem, “J-matrix method of scattering in any L² basis”, Phys. Rev. A 64.04 (2001) 042703/9p

5.     A. D. Alhaidari, “Solution of the relativistic Dirac-Morse problem”, Phys. Rev. Lett. 87.21 (2001) 210405/1-4

Publisher’s Note: Phys. Rev. Lett. 87.24 (2001) 249901/1p

Erratum: Phys. Rev. Lett. 88.18 (2002) 189901/1p

6.     A. D. Alhaidari, “Relativistic extension of shape-invariant potentials”, J. Phys. A 34.46 (2001) 9827-9833

Corrigendum I: J. Phys. A 35.13 (2002) 3143

Corrigendum II: J. Phys. A 35.29 (2002) 6207

7.     A. D. Alhaidari, “Scattering phase shift for relativistic exponential-type separable potentials”, J. Phys. A 34.50 (2001) 11273-11286

Corrigendum: J. Phys. A 37.37 (2004) 8911

8.     A. D. Alhaidari, “The relativistic J-matrix theory of scattering: An analytic solution”, J. Math. Phys. 43.03 (2002) 1129-1135

9.     A. D. Alhaidari, “Graded extension of so(2,1) Lie algebra and the search for exact solutions of the Dirac equation by point canonical transformations”, Phys. Rev. A 65.04 (2002) 042109/8p

Erratum: Phys. Rev. A 66.01 (2002) 019902/1p

10.  A. D. Alhaidari, “Solutions of the nonrelativistic wave equation with position-dependent effective mass”, Phys. Rev. A 66.04 (2002) 042116/7p

11.  A. D. Alhaidari, “Deformation of the three-term recursion relation and generation of new orthogonal polynomials”, J. Phys. A 35.43 (2002) 9071-9079

12.  A. D. Alhaidari, “Exact solutions of Dirac and Schrödinger equations for a large class of power-law potentials at zero energy”, Int. J. Mod. Phys. A 17.30 (2002) 4551-4566

13.  A. D. Alhaidari, “Solution of the Dirac equation for potential interaction”, Int. J. Mod. Phys. A 18.27 (2003) 4955-4973

14.  A. D. Alhaidari, “Deformation of the J-matrix method of scattering”, Found. Phys. Lett. 16.06 (2003) 579-591

15.  A. D. Alhaidari, “Nonrelativistic Green’s function for systems with position-dependent mass”, Int. J. Theor. Phys. 42.12 (2003) 2999-3009

16.  A. D. Alhaidari, “Solution of the Dirac equation with position-dependent mass in the Coulomb field”, Phys. Lett. A 322.1-2 (2004) 72-77

17.  A. D. Alhaidari, “The relativistic Dirac-Morse Green’s function”, J. Math. Phys. 45.06 (2004) 2258-2265

18.  A. D. Alhaidari, “Solution of the relativistic Dirac-Hulthén problem”, J. Phys. A 37.22 (2004) 5805-5813

19.  A. D. Alhaidari, “Study of resonances in the complex charge plane”, J. Phys. A 37.22 (2004) 5863-5871

20.  A. D. Alhaidari, “L² series solution of the relativistic Dirac-Morse problem for all energies”, Phys. Lett. A 326.1-2 (2004) 58-69

21.  A. D. Alhaidari, “Exact L² series solution of the Dirac-Coulomb problem for all energies”, Ann. Phys. 312.01 (2004) 144-160

22.  A. D. Alhaidari, “L² series solutions of the Dirac equation for power-law potentials at rest mass energy”, J. Phys. A 37.46 (2004) 11229-11241

24.  A. D. Alhaidari, “An extended class of L²-series solutions of the wave equation”, Ann. Phys. 317.01 (2005) 152-174

25.  A. D. Alhaidari, “Scattering and bound states for a class of non-central potentials”, J. Phys. A 38.15 (2005) 3409-3429

26.  A. D. Alhaidari, “Unified algebraic treatment of resonance”, Int. J. Mod. Phys. A 20.12 (2005) 2657-2672

27.  H. Bahlouli, A. D. Alhaidari, A. Al Zahrani, and E. N. Economou, “Electromagnetic wave propagation in an active medium and the equivalent Schrödinger equation with an energy-dependent complex potential”, Phys. Rev. B 72.09 (2005) 094304/8p

28.  A. D. Alhaidari, “Solution of the Dirac equation by separation of variables in spherical coordinates for a large class of noncentral electromagnetic potentials”, Ann. Phys. 320.02 (2005) 453-467

Corrigendum: Ann. Phys. 321.06 (2006) 1524-1525

29.  A. D. Alhaidari, “The three-dimensional Dirac-Oscillator in the presence of Aharonov-Bohm and magnetic monopole potentials”, Found. Phys. Lett. 18.07 (2005) 651-664

30.  A. D. Alhaidari, “New solutions of the Dirac equation”, in Proceedings of the Second Saudi Science Conference, Jeddah, 15-17 March 2004, Part II, edited by M. S. Mekki et al. (KAU, Jeddah, 2005) pp. 1-16

31.  A. D. Alhaidari, H. Bahlouli, and A. Al-Hasan, “Dirac and Klein-Gordon equations with equal scalar and vector potentials”, Phys. Lett. A 349.1-4 (2006) 87-97

32.  A. D. Alhaidari, “Solution of the Dirac equation with noncentral three-vector potential”, Mod. Phys. Lett. A 21.07 (2006) 581-592

33.  A. D. Alhaidari, “Density function associated with a nonlinear bifurcating map”, J. Phys. A 39.22 (2006) 6851-6859

34.  A. D. Alhaidari, “The supersymmetric Jaynes-Cummings model and its solutions”, J. Phys. A 39.50 (2006) 15391-15401

35.  A. D. Alhaidari, “Evaluation of integrals involving orthogonal polynomials: Laguerre polynomial and Bessel function example”, Appl. Math. Lett. 20.01 (2007) 38-42

36.  A. D. Alhaidari, H. Bahlouli, M. S. Abdelmonem, F. Al-Ameen, and T. Al-Abdulaal, “Regularization in the J-matrix method of scattering revisited”, Phys. Lett. A 364.05 (2007) 372-377

37.  A. D. Alhaidari, “Relativistic extension of the complex scaling method”, Phys. Rev. A 75.04 (2007) 042707/11p

38.  A. D. Alhaidari, “Representation reduction and solution space contraction in quasi-exactly solvable systems”, J. Phys. A 40.24 (2007) 6305-6328

39.  A. D. Alhaidari, H. Bahlouli, A. Al-Hasan, and M. S. Abdelmonem, “Relativistic scattering with a spatially dependent effective mass in the Dirac equation”, Phys. Rev. A 75.06 (2007) 062711/14p

40.  H. Bahlouli, A. D. Alhaidari, and M. S. Abdelmonem, “Density of states extracted from modified recursion relations”, Phys. Lett. A 367.1-2 (2007) 162-172

41.  I. Nasser, M. S. Abdelmonem, H. Bahlouli, and A. D. Alhaidari, “The rotating Morse potential model for diatomic molecules in the tridiagonal J-matrix representation: I. Bound states”, J. Phys. B 40.21 (2007) 4245-4257

42.  A. D. Alhaidari, “Charged particle in the field of an electric quadrupole in two dimensions”, J. Phys. A 40.49 (2007) 14843-14855

43.  A. D. Alhaidari, H. Bahlouli, and M. S. Abdelmonem, “Taming the Yukawa potential singularity: improved evaluation of bound states and resonance energies”, J. Phys. A 41.03 (2008) 032001/9p

44.  A. D. Alhaidari and H. Bahlouli, “Electron in the field of a molecule with an electric dipole moment”, Phys. Rev. Lett. 100.11 (2008) 110401/4p

45.  A. D. Alhaidari, “On the asymptotic solutions of the scattering problem”, J. Phys. A 41.17 (2008) 175201/10p

46.  A. D. Alhaidari, “Scattering phase shift for relativistic separable potentials with Laguerre-type form factors,” in The J-Matrix Method: Developments and Applications, edited by A. D. Alhaidari, E. J. Heller, H. A. Yamani, and M. S. Abdelmonem (Springer, Dordrecht, Netherlands, 2008) pp. 67-81

47.  A. D. Alhaidari, “Analytic solution of the wave equation for an electron in the field of a molecule with an electric dipole moment”, Ann. Phys. 323.07 (2008) 1709-1728

48.  A. D. Alhaidari and H. Bahlouli, “Extending the class of solvable potentials: I. The infinite potential well with a sinusoidal bottom”, J. Math. Phys. 49.08 (2008) 082102/13p

49.  I. Nasser, M. S. Abdelmonem, H. Bahlouli, and A. D. Alhaidari, “The rotating Morse potential model for diatomic molecules in the tridiagonal J-matrix representation: II. The S-matrix approach”, J. Phys. B 41.21 (2008) 215001/6p

50.  E. El Aaoud, H. Bahlouli, and A. D. Alhaidari, “One-dimensional solvable potentials in a tridiagonal representation space”, Int. Rev. Phys. 2.5 (2008) 271-280

51.  A. D. Alhaidari and H. Bahlouli, “Two new solvable potentials”, J. Phys. A 42.26 (2009) 262001/9p

52.  M. S. Abdelmonem, I. Nasser, H. Bahlouli, U. Al-Khawaja, and A. D. Alhaidari, “Singular short range potentials in the J-matrix approach”, Phys. Lett. A 373.29 (2009) 2408-2412

53.  A. Jellal, A. D. Alhaidari, and H. Bahlouli, “Confined Dirac fermions in a constant magnetic field”, Phys. Rev. A 80.01 (2009) 012109/8p

55.  H. Bahlouli and A. D. Alhaidari, “Extending the class of solvable potentials: III. The hyperbolic single wave”, Phys. Scr. 81.02 (2010) 025008/7p

56.  A. D. Alhaidari, “Extending the class of solvable potentials: II. Screened Coulomb potential with a barrier”, Phys. Scr. 81.02 (2010) 025013/11p

57.  A. D. Alhaidari, “Dirac equation with coupling to 1/r singular vector potentials for all angular momenta”, Found. Phys. 40.8 (2010) 1088-1095

58.  A. D. Alhaidari, “Relativistic Coulomb problem for Z larger than 137”, Int. J. Mod. Phys. A 25.18-19 (2010) 3703-3714

59.  A. D. Alhaidari, “A class of singular logarithmic potentials in a box with different skin thicknesses and wall interactions”, Phys. Scr. 82.06 (2010) 065008/5p

60.  A. D. Alhaidari, “Resolution of the Klein paradox”, Phys. Scr. 83.02 (2011) 025001/4p

61.  A. D. Alhaidari, “Generalized spin and pseudo-spin symmetry: Relativistic extension of supersymmetric quantum mechanics”, Phys. Lett. B 699.4 (2011) 309-313

62.  A. D. Alhaidari, “Quantum mechanics without an equation of motion”, J. Math. Phys. 52.06 (2011) 062107/13p

63.  A. D. Alhaidari, “Energy spectrum formula for the relativistic Morse problem” in Proceedings of the Fifth Saudi Physical Society Conference (SPS5), edited by A. Al-Hajry et al., AIP Conf. Proc. 1370 (American Institute of Physics, Melville, New York, 2011) pp. 3-6

64.  A. D. Alhaidari and E. El Aaoud, “Solution of the Dirac equation in a one-dimensional box” in Proceedings of the Fifth Saudi Physical Society Conference (SPS5), edited by A. Al-Hajry et al., AIP Conf. Proc. 1370 (American Institute of Physics, Melville, New York, 2011) pp. 21-25

65.  A. D. Alhaidari, “Resolution of the Klein paradox within relativistic quantum mechanics” in Proceedings of the Fifth Saudi Physical Society Conference (SPS5), edited by A. Al-Hajry et al., AIP Conf. Proc. 1370 (American Institute of Physics, Melville, New York, 2011) pp. 26-32

66.  H. Eleuch, A. D. Alhaidari, and H. Bahlouli, “Analytical solutions to the Dirac equation in 1+1 space-time dimension”, Appl. Math. Inform. Sci. 6.1 (2012) 149-151

67.  A. D. Alhaidari, H. Bahlouli, and A. Jellal, “Relativistic double barrier problem with three transmission resonance regions”, Adv. Math. Phys. 2012 (2012) 762908/13p

68.  A. D. Alhaidari, H. Bahlouli, and M. E. H. Ismail, “The Dirac-Coulomb Problem: a mathematical revisit”, J. Phys. A 45.36 (2012) 365204/9p

69.  A. D. Alhaidari, H. Bahlouli, Y. Benabderahmane, and A. Jellal, “Full transmission within a wide energy range and super-criticality in relativistic barrier scattering”, Phys. Rev. A 86.05 (2012) 052113/6p

70.  A. D. Alhaidari, A. Jellal, E. B. Choubabi, and H. Bahlouli, "Dynamical mass generation via space compactification", Quantum Matter 2.2 (2013) 140-143

71.  A. D. Alhaidari, H. Bahlouli, A. El Mouhafid, and A. Jellal, “Graphene nanoribbon in sharply localized magnetic fields”, Eur. Phys. J. B 86.3 (2013) 73/12p

Books/special issues/proceedings:

1.     A. D. Alhaidari, E. J. Heller, H. A. Yamani, and M. S. Abdelmonem (Eds.), The J-Matrix Method: Developments and Applications (Springer, Dordrecht, Netherlands, 2008) ISBN: 978-1-4020-6072-4, QC794.6.S3 J55 2008

2.     A. D. Alhaidari, H. A. Alhendi, and H. Bahlouli (Guest Eds.), Appl. Math. Inform. Sci., Special Issue: Selected Papers from the Fourth Meeting of the Saudi Physical Society (SPS4), Vol. 3, Issue 3 (Dixie W Publishing, Montgomery, 2009) ISSN: 1935-0090

3.     A. D. Alhaidari, H. A. Alhendi, and H. Bahlouli (Eds.), Proceedings of the 4^th meeting of the Saudi Physical Society (SPS4), Riyadh, 11-12 November 2008 (KACST, Riyadh, 2009)

4.     A. D. Alhaidari and H. H. Alharbi (Eds.), Proceedings of the Workshop on Special Functions in Physics and Applied Mathematics, Riyadh, Saudi Arabia, 17 April 2006 (KACST, Riyadh, 2010)