Publications
Journal articles:
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
23.
A. D. Alhaidari, “The
Dirac-Oscillator Green’s function”,
Int. J.
Theor. Phys. 43.04 (2004)
939-946
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
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
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 4th
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)
Format of the listing: Author(s)
Name(s), “Title”,
Journal
Abbreviation
Volume.Issue (Year)
Article ID or Pages
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