Publications

Browse our research publications organized by year. Use the year buttons to navigate through different periods of our research output.

130+
Journal Articles
4
Books & Proceedings
25+
Years of Research
4+
Conference Papers
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All Publications

133 Publications

2025-Present Publications

3 Publications
131
A. D. Alhaidari and T. J. Taiwo
"Nonlinear extension of the J-matrix method of scattering: A toy model"
Arabian Journal of Mathematics (2025) 1-12
132
A. D. Alhaidari
"Finite Algebraic Quantum Field Theory"
Preprints (2025)
133
A. D. Alhaidari and Y. T. Li
"Orthogonal polynomials associated with the scattering states of the Kratzer potential"
Arabian Journal of Mathematics (2025) 1-14

2020-2024 Publications

30 Publications
101
A. D. Alhaidari
"Series solution of a ten-parameter second order differential equation with three regular singularities and one irregular singularity"
Theor. Math. Phys. 202.1 (2020) 17-29
102
A. D. Alhaidari
"Representation of the quantum mechanical wavefunction by orthogonal polynomials in the energy and physical parameters"
Commun. Theor. Phys. 72.01 (2020) 015104
103
A. D. Alhaidari and H. Bahlouli
"Bound states and the potential parameter spectrum"
J. Math. Phys. 61.06 (2020) 062103/14p
104
A. D. Alhaidari
"Construction of potential functions associated with a given energy spectrum - An inverse problem"
Int. J. Mod. Phys. A 35.20 (2020) 2050104/17p
105
A. D. Alhaidari and H. Aounallah
"Construction of potential functions associated with a given energy spectrum - An inverse problem. II"
Int. J. Mod. Phys. A 35.27 (2020) 2050159/24p
106
A. D. Alhaidari
"Relativistic J-matrix method of scattering in 1+1 space-time I. Theory"
J. Phys. Commun. 4.09 (2020) 095012/10p
107
A. D. Alhaidari
"Solving Schrödinger equation by mapping it into a Heun-type equation with known solutions"
J. Math. Phys. 61.12 (2020) 122102/10p
108
A. D. Alhaidari
"Exponentially confining potential well"
Theor. Math. Phys. 206.1 (2021) 84-96
109
A. D. Alhaidari and T. J. Taiwo
"Confined systems with a linear energy spectrum"
Mod. Phys. Lett. A 36.10 (2021) 2150064/12p
110
A. D. Alhaidari and H. Bahlouli
"Solutions of a Bessel-type differential equation using the tridiagonal representation approach"
Rep. Math. Phys. 87.3 (2021) 313-327
111
A. D. Alhaidari, I. A. Assi, and A. Mebirouk
"Bound states of a quartic and sextic inverse-power-law potential for all angular momenta"
Eur. Phys. J. Plus 136.04 (2021) 443/12p
112
I. A. Assi, A. D. Alhaidari, and H. Bahlouli
"Deformed Morse-like potential"
J. Math. Phys. 62.09 (2021) 093501/10p
113
A. D. Alhaidari, I. A. Assi, and A. Mebirouk
"Bound-states for generalized trigonometric and hyperbolic Pöschl-Teller potentials"
Int. J. Mod. Phys. A 37.03 (2022) 2250012/18p
114
A. D. Alhaidari
"Finite series representation for the bound states of a spiked isotropic oscillator with inverse-quartic singularity"
Mod. Phys. Lett. A 37.07 (2022) 2250045/12p
115
A. D. Alhaidari, H. Bahlouli, C. P. Aparicio, and S. M. Al-Marzoug
"J-matrix method of scattering for inverse-square singular potentials with supercritical coupling I. No regularization"
Ann. Phys. 444 (2022) 169020/19p
116
A. D. Alhaidari, H. Bahlouli, S. M. Al-Marzoug, and C. P. Aparicio
"J-matrix method of scattering for inverse-square singular potentials with supercritical coupling II. regularization"
Ann. Phys. 444 (2022) 169029/8p
117
A. D. Alhaidari
"Progressive approximation of bound states by finite series of square-integrable functions"
J. Math. Phys. 63.08 (2022) 082102/15p
118
A. D. Alhaidari and I. A. Assi
"Finite-series approximation of the bound states for two novel potentials"
Physics 4.3 (2022) 1067-1080
119
P. Sedaghatnia, H. Hassanabadi, A. D. Alhaidari and W. S. Chung
"Relativistic particles in curved space with a static metric using the Dunkl derivative in the Dirac operator"
Int. J. Mod. Phys. A 37.35 (2022) 2250223/14p
120
A. D. Alhaidari and H. Bahlouli
"Electrostatic multipole contributions to the binding energy of electrons"
Comput. Theor. Chem. 1222 (2023) 114058/8p
121
A. D. Alhaidari
"Revisiting the Coulomb problem: A novel representation of the confluent hypergeometric function as an infinite sum of discrete Bessel functions"
J. Math. Phys. 64.03 (2023) 033506/5p
122
I. F. Al-Yousef, M. Ekhwan, H. Bahlouli, and A. D. Alhaidari
"Spectral problem of the Hamiltonian in quantum mechanics without reference to a potential function"
Axioms 12.04 (2023) 334/18p
123
A. D. Alhaidari
"Gauss Quadrature for Integrals and Sums"
Int. J. Pure Appl. Math. Res. 3.01 (2023) 1-10
124
A. D. Alhaidari and A. Laradji
"A Novel Algebraic System in Quantum Field Theory"
AppliedMath 3.02 (2023) 461-467
125
A. D. Alhaidari and T. J. Taiwo
"Energy spectrum design and potential function engineering"
Theor. Math. Phys. 216.1 (2023) 1024-1035
126
A. D. Alhaidari and M. E. H. Ismail
"Solutions of the scattering problem in a complete set of Bessel functions with a discrete index"
J. Math. Phys. 64.11 (2023) 112102/13p
127
A. D. Alhaidari
"Structural Algebraic Quantum Field Theory: Particles with structure"
Phys. Part. Nuclei Lett. 20.06 (2023) 1293-1307
128
A. D. Alhaidari
"Exact and simple formulas for the linearization coefficients of products of orthogonal polynomials and physical application"
J. Comput. Appl. Math. 436 (2024) 115368/13p
129
M. El Azar, A. Bouhlal, A. D. Alhaidari, A. Jellal
"Effect of magnetic flux on scattering in a graphene magnetic quantum dot"
Physica B 675 (2024) 415610/7p
130
Abdulaziz Alhaidari
"SAQFT: Algebraic quantum field theory for elementary and composite particles"
Research Outreach 140 (2024) 32-35

2015-2019 Publications

27 Publications
74
A. D. Alhaidari, H. Bahlouli, S. M. Al-Marzoug, and M. S. Abdelmonem
"J-matrix method of scattering for potentials with inverse square singularity: The real representation"
Phys. Scripta 90.05 (2015) 055205/9p
75
A. D. Alhaidari, H. Bahlouli, and A. Jellal
"Confined Dirac particles in a constant and tilted magnetic field"
Int. J. Geom. Meth. Mod. Phys. 12.05 (2015) 1550062/10p
76
A. D. Alhaidari and M. E. H. Ismail
"Quantum mechanics without potential function"
J. Math. Phys. 56.07 (2015) 072107/19p
77
A. D. Alhaidari and A. Jellal
"Compatibility of symmetric quantization with general covariance in the Dirac equation and spin connections"
Phys. Lett. A 379.45-46 (2015) 2946-2950
78
A. D. Alhaidari
"Formulation of quantum mechanics without potential function"
Quant. Phys. Lett. 4.03 (2015) 51-55
79
A. J. Sous and A. D. Alhaidari
"Energy spectrum for a short-range 1/r singular potential with a non-orbital barrier using the asymptotic iteration method"
J. Appl. Math. Phys. 4.01 (2016) 79-85
80
A. D. Alhaidari, H. Bahlouli, and I. A. Assi
"Solving Dirac equation using the tridiagonal matrix representation approach"
Phys. Lett. A 380.18-19 (2016) 1577-1581
81
A. D. Alhaidari and T. J. Taiwo
"Wilson-Racah Quantum System"
J. Math. Phys. 58.02 (2017) 022101/8p
82
A. D. Alhaidari
"Solution of the Dirac equation in a curved space with a static metric"
Quant. Phys. Lett. 6.01 (2017) 43-51
83
H. A. Yamani and A. D. Alhaidari
"Extension and exact realization of the Heller's derivative rule"
Quant. Phys. Lett. 6.02 (2017) 117-121
84
A. D. Alhaidari
"Solution of the nonrelativistic wave equation using the tridiagonal representation approach"
J. Math. Phys. 58.07 (2017) 072104/37p
85
S. A. Al-Buradah, H. Bahlouli, and A. D. Alhaidari
"Energy spectrum of a generalized Scarf potential using the Asymptotic Iteration Method and the Tridiagonal Representation Approach"
J. Math. Phys. 58.08 (2017) 083501/14p
86
A. D. Alhaidari
"Reconstructing the potential function in a formulation of quantum mechanics based on orthogonal polynomials"
Commun. Theor. Phys. 68.6 (2017) 711-728
87
A. D. Alhaidari
"Orthogonal polynomials derived from the tridiagonal representation approach"
J. Math. Phys. 59.01 (2018) 013503/8p
88
I. A. Assi, A. D. Alhaidari, and H. Bahlouli
"Solution of spin and pseudo-spin symmetric Dirac equation in 1+1 space-time using tridiagonal representation approach"
Commun. Theor. Phys. 69.3 (2018) 241-256
89
A. D. Alhaidari
"Density of states engineering: normalized energy density of states band structure using the tridiagonal representation approach"
Can. J. Phys. 96.3 (2018) 275-286
90
A. D. Alhaidari and T. J. Taiwo
"Four-parameter potential box with inverse square singular boundaries"
Eur. Phys. J. Plus 133.03 (2018) 115
91
A. D. Alhaidari
"Series solutions of Laguerre- and Jacobi-type differential equations in terms of orthogonal polynomials and physical applications"
J. Math. Phys. 59.06 (2018) 063508/22p
92
A. D. Alhaidari
"Four-parameter 1/r2 singular short-range potential with rich bound states and resonance spectrum"
Theor. Math. Phys. 195.3 (2018) 861-873
93
A. D. Alhaidari
"Comment on 'Introducing new family of short-range potentials and their numerical solutions using the asymptotic iteration method' by I. A. Assi and A. J. Sous"
Eur. Phys. J. Plus 133.10 (2018) 438
94
A. D. Alhaidari
"Series solutions of Heun-type equation in terms of orthogonal polynomials"
J. Math. Phys. 59.11 (2018) 113507/12p
95
A. D. Alhaidari and Y.-T. Li
"Quantum systems associated with the Hahn and continuous Hahn polynomials"
Rep. Math. Phys. 82.3 (2018) 285-301
96
A. D. Alhaidari
"Exact scattering and bound states solutions for novel hyperbolic potentials with inverse square singularity"
Mod. Phys. Lett. A 34.03 (2019) 1950020/16p
97
A. D. Alhaidari and H. Bahlouli
"Electric dipole and quadrupole contributions to valence electron binding in a charge-screening environment"
Eur. Phys. J. D 73.04 (2019) 70/8p
98
A. D. Alhaidari
"Bound states of an inverse-cube singular potential: a candidate for electron-quadrupole binding"
Mod. Phys. Lett. A 34.28 (2019) 1950223/17p
99
A. D. Alhaidari and H. Bahlouli
"Tridiagonal Representation Approach in Quantum Mechanics"
Phys. Scripta 94.12 (2019) 125206/12p
100
A. D. Alhaidari
"Open problem in orthogonal polynomials"
Rep. Math. Phys. 84.3 (2019) 393-405

2010 - 2014 Publications

17 Publications
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)
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
72
A. D. Alhaidari
"Non-Hermitian non-PT-symmetric Dirac Hamiltonians with real energy eigenvalues"
Phys. Lett. A 377.34-36(2013) 2003-2006
73
A. D. Alhaidari
"Nonlinear spin and pseudo-spin symmetric Dirac equations"
Int. J. Theor. Phys 53.2(2014) 685-693
73
A. D. Alhaidari
"Renormalization of the strongly attractive inverse square potential: Taming the singularity"
Found. Phys 44.10(2014) 1049-1058

2005 - 2009 Publications

28 Publications
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
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"
Proceedings of the Second Saudi Science Conference (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"
The J-Matrix Method: Developments and Applications (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
54
A. D. Alhaidari, H. Bahlouli, and M. S. Abdelmonem
"J-matrix method of scattering in one dimension: The nonrelativistic theory"
Ann. Phys. 324.12 (2009) 2561-2578

2000 - 2004 Publications

23 Publications
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
6
A. D. Alhaidari
"Relativistic extension of shape-invariant potentials"
J. Phys. A 34.46 (2001) 9827-9833
7
A. D. Alhaidari
"Scattering phase shift for relativistic exponential-type separable potentials"
J. Phys. A 34.50 (2001) 11273-11286
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
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
23
A. D. Alhaidari
"The Dirac-Oscillator Green's function"
Int. J. Theor. Phys. 43.04 (2004) 939-946

Books & Proceedings

4 Publications
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
2
A. D. Alhaidari, H. A. Alhendi, and H. Bahlouli (Guest Eds.)
"Special Issue: Selected Papers from the Fourth Meeting of the Saudi Physical Society (SPS4)"
Appl. Math. Inform. Sci. Vol. 3, Issue 3 (2009) ISSN: 1935-0090
3
A. D. Alhaidari, H. A. Alhendi, and H. Bahlouli (Eds.)
"Proceedings of the 4th meeting of the Saudi Physical Society (SPS4)"
KACST, Riyadh (2009)
4
A. D. Alhaidari and H. H. Alharbi (Eds.)
"Proceedings of the Workshop on Special Functions in Physics and Applied Mathematics"
KACST, Riyadh (2010)
All Years

Publication Impact & Recognition

Our publications have received significant recognition in the scientific community:

  • Top Downloads: "Quantum mechanics without an equation of motion" was one of the top 20 most downloaded articles of Journal of Mathematical Physics in July 2011
  • Featured Papers: Several publications selected by Physical Review for homepage announcements
  • High Citations: Multiple papers have received substantial citation counts in their respective fields
  • International Collaboration: Collaborative work with researchers from USA, Europe, Africa, and Asia

Research Areas

Our publications span several key research areas in theoretical physics:

  1. J-Matrix Method: Development and applications of the J-matrix approach to scattering problems
  2. Relativistic Quantum Mechanics: Solutions to Dirac equation for various potentials
  3. Supersymmetric Quantum Mechanics: Extensions and new solvable potentials
  4. Graphene Physics: Dirac fermions in graphene and related 2D materials
  5. Nonlinear Physics: Solitons, Bose-Einstein condensates, and nonlinear wave phenomena