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Alhaidari, Abdulaziz D.

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Author ID: alhaidari.abdulaziz-d Recent zbMATH articles by "Alhaidari, Abdulaziz D."
Published as: Al-Haidari, A.; Alhaidari, A. D.; Alhaidari, Abdulaziz D.; Alhaidari, Abdullaziz D.
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Documents Indexed: 78 Publications since 2000, including 2 Books

Publications by Year

Citations contained in zbMATH Open

56 Publications have been cited 407 times in 222 Documents Cited by Year
Dirac and Klein-Gordon equations with equal scalar and vector potentials. Zbl 1195.81043
Alhaidari, A. D.; Bahlouli, H.; Al-Hasan, A.
51
2006
Exact solutions of Dirac and Schrödinger equations for a large class of power-law potentials at zero energy. Zbl 1016.81021
Alhaidari, A. D.
40
2002
Solution of the Dirac equation with position-dependent mass in the Coulomb field. Zbl 1118.81303
Alhaidari, A. D.
30
2004
Scattering and bound states for a class of non-central potentials. Zbl 1088.81041
Alhaidari, A. D.
23
2005
An extended class of \(L^2\)-series solutions of the wave equation. Zbl 1077.81037
Alhaidari, A. D.
16
2005
Analytic solution of the wave equation for an electron in the field of a molecule with an electric dipole moment. Zbl 1192.81408
Alhaidari, A. D.
13
2008
Quantum mechanics without potential function. Zbl 1330.81105
Alhaidari, A. D.; Ismail, M. E. H.
12
2015
Extending the class of solvable potentials. III: The hyperbolic single wave. Zbl 1190.81063
Bahlouli, H.; Alhaidari, A. D.
12
2010
Extending the class of solvable potentials. I: The infinite potential well with a sinusoidal bottom. Zbl 1152.81313
Alhaidari, A. D.; Bahlouli, H.
12
2008
Nonrelativistic Green’s function for systems with position-dependent mass. Zbl 1040.81008
Alhaidari, A. D.
12
2003
Solution of the nonrelativistic wave equation using the tridiagonal representation approach. Zbl 1370.81052
Alhaidari, A. D.
10
2017
Solution of the Dirac equation by separation of variables in spherical coordinates for a large class of non-central electromagnetic potentials. Zbl 1086.81030
Alhaidari, A. D.
10
2005
Corrigendum: ”Relativistic extension of shape-invariant potentials”. Zbl 1066.81626
Alhaidari, A. D.
10
2002
Relativistic extension of shape-invariant potentials. Zbl 0992.81083
Alhaidari, Abdulaziz D.
10
2001
Wilson-Racah quantum system. Zbl 1357.81156
Alhaidari, A. D.; Taiwo, T. J.
9
2017
Charged particle in the field of an electric quadrupole in two dimensions. Zbl 1129.81346
Alhaidari, A. D.
9
2007
Extending the class of solvable potentials. II: Screened Coulomb potential with a barrier. Zbl 1190.81062
Alhaidari, A. D.
8
2010
The relativistic \(J\)-matrix theory of scattering: an analytic solution. Zbl 1059.81172
Alhaidari, A. D.
7
2002
Series solutions of Heun-type equation in terms of orthogonal polynomials. Zbl 1404.34017
Alhaidari, A. D.
6
2018
Orthogonal polynomials derived from the tridiagonal representation approach. Zbl 1380.81095
Alhaidari, A. D.
6
2018
Reconstructing the potential function in a formulation of quantum mechanics based on orthogonal polynomials. Zbl 1382.81006
Alhaidari, A. D.
6
2017
\(L^{2}\) series solution of the relativistic Dirac-Morse problem for all energies. Zbl 1161.81338
Alhaidari, A. D.
6
2004
Resolution of the Klein paradox. Zbl 1220.81076
Alhaidari, A. D.
5
2011
The J-matrix method. Development and applications. Foreword by Hashim A. Yamani and Eric J. Heller. Zbl 1140.81004
Alhaidari, Abdulaziz D. (ed.); Heller, Eric J. (ed.); Yamani, Hashim A. (ed.); Abdelmonem, Mohamed S. (ed.)
5
2008
On the asymptotic solutions of the scattering problem. Zbl 1137.81371
Alhaidari, A. D.
5
2008
Representation reduction and solution space contraction in quasi-exactly solvable systems. Zbl 1113.81120
Alhaidari, A. D.
5
2007
Solution of the relativistic Dirac-Hulthén problem. Zbl 1052.81659
Alhaidari, A. D.
5
2004
Dirac equation with coupling to \(1/r\) singular vector potentials for all angular momenta. Zbl 1197.81112
Alhaidari, A. D.
4
2010
Taming the Yukawa potential singularity: Improved evaluation of bound states and resonance energies. Zbl 1132.81014
Alhaidari, A. D.; Bahlouli, H.; Abdelmonem, M. S.
4
2008
Regularization in the J-matrix method of scattering revisited. Zbl 1203.81163
Alhaidari, A. D.; Bahlouli, H.; Abdelmonem, M. S.; Al-Ameen, F.; Al-Abdulaal, T.
4
2007
The three-dimensional Dirac oscillator in the presence of Aharonov-Bohm and magnetic monopole potentials. Zbl 1099.81027
Alhaidari, A. D.
4
2005
The Dirac-Coulomb problem: a mathematical revisit. Zbl 1255.81131
Alhaidari, A. D.; Bahlouli, H.; Ismail, M. E. H.
3
2012
A class of singular logarithmic potentials in a box with different skin thicknesses and wall interactions. Zbl 1216.81061
Alhaidari, A. D.
3
2010
Singular short range potentials in the J-matrix approach. Zbl 1231.81083
Abdelmonem, M. S.; Nasser, I.; Bahlouli, H.; Khawaja, U. Al; Alhaidari, A. D.
3
2009
J-matrix method of scattering in one dimension: the nonrelativistic theory. Zbl 1179.81153
Alhaidari, A. D.; Bahlouli, H.; Abdelmonem, M. S.
3
2009
Unified algebraic treatment of resonance. Zbl 1072.81054
Alhaidari, A. D.
3
2005
Four-parameter \(1/r^2\) singular short-range potential with rich bound states and a resonance spectrum. Zbl 1398.81083
Alhaidari, A. D.
2
2018
Series solutions of Laguerre- and Jacobi-type differential equations in terms of orthogonal polynomials and physical applications. Zbl 1395.34015
Alhaidari, A. D.
2
2018
Energy spectrum of a generalized Scarf potential using the asymptotic iteration method and the tridiagonal representation approach. Zbl 1370.81067
Al-Buradah, Sadig A.; Bahlouli, Hocine; Alhaidari, Abdulaziz D.
2
2017
Solving Dirac equation using the tridiagonal matrix representation approach. Zbl 1364.81106
Alhaidari, A. D.; Bahlouli, H.; Assi, I. A.
2
2016
Confined Dirac particles in a constant and tilted magnetic field. Zbl 1317.81092
Alhaidari, Abdulaziz D.; Bahlouli, Hocine; Jellal, Ahmed
2
2015
Renormalization of the strongly attractive inverse square potential: taming the singularity. Zbl 1302.81088
Alhaidari, A. D.
2
2014
Non-Hermitian non-PT-symmetric Dirac Hamiltonians with real energy eigenvalues. Zbl 1297.81087
Alhaidari, A. D.
2
2013
Two new solvable potentials. Zbl 1166.81365
Alhaidari, A. D.; Bahlouli, H.
2
2009
Evaluation of integrals involving orthogonal polynomials: Laguerre polynomial and Bessel function example. Zbl 1124.33005
Alhaidari, A. D.
2
2007
\(L^2\) series solutions of the Dirac equation for power-law potentials at rest mass energy. Zbl 1067.81019
Alhaidari, A. D.
2
2004
Exact \(L^{2}\) series solution of the Dirac-Coulomb problem for all energies. Zbl 1045.81013
Alhaidari, A. D.
2
2004
Solution of the Dirac equation for potential interaction. Zbl 1042.81009
Alhaidari, A. D.
2
2003
Group-theoretical foundation of the \(J\)-matrix theory of scattering. Zbl 0968.81065
Alhaidari, Abdulaziz D.
2
2000
Open problem in orthogonal polynomials. Zbl 1441.81090
Alhaidari, Abdulaziz D.
1
2019
Solution of spin and pseudo-spin symmetric Dirac equation in \((1+1)\) space-time using tridiagonal representation approach. Zbl 1391.81071
Assi, I. A.; Alhaidari, A. D.; Bahlouli, H.
1
2018
Nonlinear spin and pseudo-spin symmetric Dirac equations. Zbl 1284.81101
Alhaidari, A. D.
1
2014
Quantum mechanics without an equation of motion. Zbl 1317.81244
Alhaidari, A. D.
1
2011
Relativistic Coulomb problem for \(Z\) larger than 137. Zbl 1194.81059
Alhaidari, A. D.
1
2010
The supersymmetric Jaynes-Cummings model and its solutions. Zbl 1106.81084
Alhaidari, A. D.
1
2006
Solution of the Dirac equation with noncentral three-vector potential. Zbl 1091.81013
Alhaidari, A. D.
1
2006
Open problem in orthogonal polynomials. Zbl 1441.81090
Alhaidari, Abdulaziz D.
1
2019
Series solutions of Heun-type equation in terms of orthogonal polynomials. Zbl 1404.34017
Alhaidari, A. D.
6
2018
Orthogonal polynomials derived from the tridiagonal representation approach. Zbl 1380.81095
Alhaidari, A. D.
6
2018
Four-parameter \(1/r^2\) singular short-range potential with rich bound states and a resonance spectrum. Zbl 1398.81083
Alhaidari, A. D.
2
2018
Series solutions of Laguerre- and Jacobi-type differential equations in terms of orthogonal polynomials and physical applications. Zbl 1395.34015
Alhaidari, A. D.
2
2018
Solution of spin and pseudo-spin symmetric Dirac equation in \((1+1)\) space-time using tridiagonal representation approach. Zbl 1391.81071
Assi, I. A.; Alhaidari, A. D.; Bahlouli, H.
1
2018
Solution of the nonrelativistic wave equation using the tridiagonal representation approach. Zbl 1370.81052
Alhaidari, A. D.
10
2017
Wilson-Racah quantum system. Zbl 1357.81156
Alhaidari, A. D.; Taiwo, T. J.
9
2017
Reconstructing the potential function in a formulation of quantum mechanics based on orthogonal polynomials. Zbl 1382.81006
Alhaidari, A. D.
6
2017
Energy spectrum of a generalized Scarf potential using the asymptotic iteration method and the tridiagonal representation approach. Zbl 1370.81067
Al-Buradah, Sadig A.; Bahlouli, Hocine; Alhaidari, Abdulaziz D.
2
2017
Solving Dirac equation using the tridiagonal matrix representation approach. Zbl 1364.81106
Alhaidari, A. D.; Bahlouli, H.; Assi, I. A.
2
2016
Quantum mechanics without potential function. Zbl 1330.81105
Alhaidari, A. D.; Ismail, M. E. H.
12
2015
Confined Dirac particles in a constant and tilted magnetic field. Zbl 1317.81092
Alhaidari, Abdulaziz D.; Bahlouli, Hocine; Jellal, Ahmed
2
2015
Renormalization of the strongly attractive inverse square potential: taming the singularity. Zbl 1302.81088
Alhaidari, A. D.
2
2014
Nonlinear spin and pseudo-spin symmetric Dirac equations. Zbl 1284.81101
Alhaidari, A. D.
1
2014
Non-Hermitian non-PT-symmetric Dirac Hamiltonians with real energy eigenvalues. Zbl 1297.81087
Alhaidari, A. D.
2
2013
The Dirac-Coulomb problem: a mathematical revisit. Zbl 1255.81131
Alhaidari, A. D.; Bahlouli, H.; Ismail, M. E. H.
3
2012
Resolution of the Klein paradox. Zbl 1220.81076
Alhaidari, A. D.
5
2011
Quantum mechanics without an equation of motion. Zbl 1317.81244
Alhaidari, A. D.
1
2011
Extending the class of solvable potentials. III: The hyperbolic single wave. Zbl 1190.81063
Bahlouli, H.; Alhaidari, A. D.
12
2010
Extending the class of solvable potentials. II: Screened Coulomb potential with a barrier. Zbl 1190.81062
Alhaidari, A. D.
8
2010
Dirac equation with coupling to \(1/r\) singular vector potentials for all angular momenta. Zbl 1197.81112
Alhaidari, A. D.
4
2010
A class of singular logarithmic potentials in a box with different skin thicknesses and wall interactions. Zbl 1216.81061
Alhaidari, A. D.
3
2010
Relativistic Coulomb problem for \(Z\) larger than 137. Zbl 1194.81059
Alhaidari, A. D.
1
2010
Singular short range potentials in the J-matrix approach. Zbl 1231.81083
Abdelmonem, M. S.; Nasser, I.; Bahlouli, H.; Khawaja, U. Al; Alhaidari, A. D.
3
2009
J-matrix method of scattering in one dimension: the nonrelativistic theory. Zbl 1179.81153
Alhaidari, A. D.; Bahlouli, H.; Abdelmonem, M. S.
3
2009
Two new solvable potentials. Zbl 1166.81365
Alhaidari, A. D.; Bahlouli, H.
2
2009
Analytic solution of the wave equation for an electron in the field of a molecule with an electric dipole moment. Zbl 1192.81408
Alhaidari, A. D.
13
2008
Extending the class of solvable potentials. I: The infinite potential well with a sinusoidal bottom. Zbl 1152.81313
Alhaidari, A. D.; Bahlouli, H.
12
2008
The J-matrix method. Development and applications. Foreword by Hashim A. Yamani and Eric J. Heller. Zbl 1140.81004
Alhaidari, Abdulaziz D. (ed.); Heller, Eric J. (ed.); Yamani, Hashim A. (ed.); Abdelmonem, Mohamed S. (ed.)
5
2008
On the asymptotic solutions of the scattering problem. Zbl 1137.81371
Alhaidari, A. D.
5
2008
Taming the Yukawa potential singularity: Improved evaluation of bound states and resonance energies. Zbl 1132.81014
Alhaidari, A. D.; Bahlouli, H.; Abdelmonem, M. S.
4
2008
Charged particle in the field of an electric quadrupole in two dimensions. Zbl 1129.81346
Alhaidari, A. D.
9
2007
Representation reduction and solution space contraction in quasi-exactly solvable systems. Zbl 1113.81120
Alhaidari, A. D.
5
2007
Regularization in the J-matrix method of scattering revisited. Zbl 1203.81163
Alhaidari, A. D.; Bahlouli, H.; Abdelmonem, M. S.; Al-Ameen, F.; Al-Abdulaal, T.
4
2007
Evaluation of integrals involving orthogonal polynomials: Laguerre polynomial and Bessel function example. Zbl 1124.33005
Alhaidari, A. D.
2
2007
Dirac and Klein-Gordon equations with equal scalar and vector potentials. Zbl 1195.81043
Alhaidari, A. D.; Bahlouli, H.; Al-Hasan, A.
51
2006
The supersymmetric Jaynes-Cummings model and its solutions. Zbl 1106.81084
Alhaidari, A. D.
1
2006
Solution of the Dirac equation with noncentral three-vector potential. Zbl 1091.81013
Alhaidari, A. D.
1
2006
Scattering and bound states for a class of non-central potentials. Zbl 1088.81041
Alhaidari, A. D.
23
2005
An extended class of \(L^2\)-series solutions of the wave equation. Zbl 1077.81037
Alhaidari, A. D.
16
2005
Solution of the Dirac equation by separation of variables in spherical coordinates for a large class of non-central electromagnetic potentials. Zbl 1086.81030
Alhaidari, A. D.
10
2005
The three-dimensional Dirac oscillator in the presence of Aharonov-Bohm and magnetic monopole potentials. Zbl 1099.81027
Alhaidari, A. D.
4
2005
Unified algebraic treatment of resonance. Zbl 1072.81054
Alhaidari, A. D.
3
2005
Solution of the Dirac equation with position-dependent mass in the Coulomb field. Zbl 1118.81303
Alhaidari, A. D.
30
2004
\(L^{2}\) series solution of the relativistic Dirac-Morse problem for all energies. Zbl 1161.81338
Alhaidari, A. D.
6
2004
Solution of the relativistic Dirac-Hulthén problem. Zbl 1052.81659
Alhaidari, A. D.
5
2004
\(L^2\) series solutions of the Dirac equation for power-law potentials at rest mass energy. Zbl 1067.81019
Alhaidari, A. D.
2
2004
Exact \(L^{2}\) series solution of the Dirac-Coulomb problem for all energies. Zbl 1045.81013
Alhaidari, A. D.
2
2004
Nonrelativistic Green’s function for systems with position-dependent mass. Zbl 1040.81008
Alhaidari, A. D.
12
2003
Solution of the Dirac equation for potential interaction. Zbl 1042.81009
Alhaidari, A. D.
2
2003
Exact solutions of Dirac and Schrödinger equations for a large class of power-law potentials at zero energy. Zbl 1016.81021
Alhaidari, A. D.
40
2002
Corrigendum: ”Relativistic extension of shape-invariant potentials”. Zbl 1066.81626
Alhaidari, A. D.
10
2002
The relativistic \(J\)-matrix theory of scattering: an analytic solution. Zbl 1059.81172
Alhaidari, A. D.
7
2002
Relativistic extension of shape-invariant potentials. Zbl 0992.81083
Alhaidari, Abdulaziz D.
10
2001
Group-theoretical foundation of the \(J\)-matrix theory of scattering. Zbl 0968.81065
Alhaidari, Abdulaziz D.
2
2000
all top 5

Cited by 260 Authors

35 Alhaidari, Abdulaziz D.
23 Sever, Ramazan
13 Ikhdair, Sameer M.
11 Arda, Altuğ
10 Dong, Shihai
9 Bahlouli, Hocine
7 Jia, Chunsheng
7 Zhang, Mincang
6 Bakke, Knut
6 Hamzavi, Majid
6 Hassanabadi, Hassan
6 Mustafa, Omar
6 Rajabi, Ali Akbar
5 Mazharimousavi, S. Habib
5 Panahi, Hossein
5 Wei, Gaofeng
4 Boztosun, Ismail
4 Sun, Guohua
3 Ahmed, Faizuddin
3 Aktaş, Metin
3 Assi, Ibsal A.
3 Aydogdu, Oktay
3 Bakhshi, Zahra
3 Chenaghlou, Alireza
3 Eshghi, Mahdi
3 Huang-Fu, Guo-Qing
3 Ikot, Akpan Ndem
3 Ismail, Mourad El-Houssieny
3 Liu, Jianyi
3 Liu, Xu-Yang
3 Tezcan, Cevdet
3 Türker Bayrak, Özlem
3 Vitória, R. L. L.
3 Yeşiltaş, Özlem
3 Yi, Liangzhong
3 Yu, Jiang
3 Zarrinkamar, Saber
2 Abdelmonem, Mohamed S.
2 Aghaei, Shahram
2 Belich, Humberto
2 Chen, Gang
2 Chen, Jingling
2 Chen, Wenli
2 Diao, Yongfeng
2 Dutra, A.de Souza
2 Egrifes, Harun
2 Fonseca, I. C.
2 Furtado, Claudio
2 Gang, Chen
2 Gitman, Dmitri M.
2 Goudarzi, Hamid Reza
2 Guo, Jian-You
2 Jahangiry, L.
2 Jellal, Ahmed
2 Koelink, Erik
2 Leite, E. V. B.
2 Levin, A. D.
2 Long, Chao-Yun
2 Makowski, Adam J.
2 Mohammadi, Vahid
2 Mouayn, Zouhaïr
2 Moumni, Mustafa
2 Oyewumi, Kayode John
2 Qiang, Wenchao
2 Rahimov, H.
2 Sous, A. J. A.
2 Soylu, Ahu
2 Taiwo, T. J.
2 Yamani, Hashim A.
2 Zhang, Fulin
1 Abdalla, M. Sebawe
1 Adanmitonde, A. J.
1 Ahmadov, A. I.
1 Ajaib, Muhammad Adeel
1 Akpan, Ita O.
1 Al-Abdulaal, T.
1 Al-Ameen, F.
1 Al-Buradah, Sadig A.
1 Alassar, Rajai S.
1 Alhasan, Ahmed Abdulkareem
1 Alici, Haydar
1 Amaro Neto, José
1 An, Congpei
1 Antia, Akaninyene D.
1 Avossevou, Gabriel Y. H.
1 Awoga, Oladunjoye A.
1 Aydin, Cafer
1 Azizi, Mona
1 Bagchi, Bijan Kumar
1 Bagrov, V. B.
1 Bagrov, Vladislav G.
1 Bai, Hong-Gang
1 Banerjee, Arjun
1 Baradaran, Marzieh
1 Barakat, T. M.
1 Belouad, Abdelhadi
1 Benslama, Achour
1 Bentaiba, Mustapha
1 Berkdemir, Cüneyt
1 Bezerra, Valdir B.
...and 160 more Authors
all top 5

Cited in 44 Serials

40 Journal of Mathematical Physics
28 Physics Letters. A
23 International Journal of Theoretical Physics
23 Advances in High Energy Physics
13 Journal of Mathematical Chemistry
12 Modern Physics Letters A
11 International Journal of Modern Physics A
10 Annals of Physics
6 Applied Mathematics and Computation
5 Theoretical and Mathematical Physics
4 General Relativity and Gravitation
4 International Journal of Modern Physics C
4 Foundations of Physics
3 Reports on Mathematical Physics
2 Mathematical Methods in the Applied Sciences
2 Physics Letters. B
2 Journal of High Energy Physics
2 Advances in Mathematical Physics
2 Physical Review A, Third Series
2 ISRN High Energy Physics
1 Modern Physics Letters B
1 International Journal of Modern Physics B
1 Computer Physics Communications
1 Physics Reports
1 Journal of Geometry and Physics
1 Journal of Approximation Theory
1 Journal of Computational and Applied Mathematics
1 Proceedings of the American Mathematical Society
1 Advances in Applied Mathematics
1 Acta Applicandae Mathematicae
1 Computational Mechanics
1 New Journal of Physics
1 Annalen der Physik. 8th Series
1 Russian Physics Journal
1 Czechoslovak Journal of Physics
1 Analysis and Applications (Singapore)
1 International Journal of Geometric Methods in Modern Physics
1 Foundations of Physics Letters
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Communications in Theoretical Physics
1 Arabian Journal for Science and Engineering
1 Annalen der Physik
1 ISRN Mathematical Physics
1 Journal of Applied Analysis and Computation

Citations by Year