Dirac and Klein-Gordon equations with equal scalar and vector potentials. Zbl 1195.81043
Alhaidari, A. D.; Bahlouli, H.; Al-Hasan, A. |
|
2006
|
Solution of the Dirac equation with position-dependent mass in the Coulomb field. Zbl 1118.81303
Alhaidari, A. D. |
|
2004
|
An extended class of \(L^2\)-series solutions of the wave equation. Zbl 1077.81037
Alhaidari, A. D. |
|
2005
|
Exact solutions of Dirac and Schrödinger equations for a large class of power-law potentials at zero energy. Zbl 1016.81021
Alhaidari, A. D. |
|
2002
|
Scattering and bound states for a class of non-central potentials. Zbl 1088.81041
Alhaidari, A. D. |
|
2005
|
Nonrelativistic Green’s function for systems with position-dependent mass. Zbl 1040.81008
Alhaidari, A. D. |
|
2003
|
Quantum mechanics without potential function. Zbl 1330.81105
Alhaidari, A. D.; Ismail, M. E. H. |
|
2015
|
Solution of the nonrelativistic wave equation using the tridiagonal representation approach. Zbl 1370.81052
Alhaidari, A. D. |
|
2017
|
Extending the class of solvable potentials. III: The hyperbolic single wave. Zbl 1190.81063
Bahlouli, H.; Alhaidari, A. D. |
|
2010
|
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. |
|
2008
|
Orthogonal polynomials derived from the tridiagonal representation approach. Zbl 1380.81095
Alhaidari, A. D. |
|
2018
|
Extending the class of solvable potentials. I: The infinite potential well with a sinusoidal bottom. Zbl 1152.81313
Alhaidari, A. D.; Bahlouli, H. |
|
2008
|
Wilson-Racah quantum system. Zbl 1357.81156
Alhaidari, A. D.; Taiwo, T. J. |
|
2017
|
Corrigendum: ”Relativistic extension of shape-invariant potentials”. Zbl 1066.81626
Alhaidari, A. D. |
|
2002
|
\(L^{2}\) series solution of the relativistic Dirac-Morse problem for all energies. Zbl 1161.81338
Alhaidari, A. D. |
|
2004
|
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. |
|
2005
|
The J-matrix method. Development and applications. Foreword by Hashim A. Yamani and Eric J. Heller. Zbl 1140.81004
|
|
2008
|
Relativistic extension of shape-invariant potentials. Zbl 0992.81083
Alhaidari, Abdulaziz D. |
|
2001
|
Solution of the relativistic Dirac-Hulthén problem. Zbl 1052.81659
Alhaidari, A. D. |
|
2004
|
Reconstructing the potential function in a formulation of quantum mechanics based on orthogonal polynomials. Zbl 1382.81006
Alhaidari, A. D. |
|
2017
|
Series solutions of Heun-type equation in terms of orthogonal polynomials. Zbl 1404.34017
Alhaidari, A. D. |
|
2018
|
Extending the class of solvable potentials. II: Screened Coulomb potential with a barrier. Zbl 1190.81062
Alhaidari, A. D. |
|
2010
|
Charged particle in the field of an electric quadrupole in two dimensions. Zbl 1129.81346
Alhaidari, A. D. |
|
2007
|
Open problem in orthogonal polynomials. Zbl 1441.81090
Alhaidari, Abdulaziz D. |
|
2019
|
Representation of the quantum mechanical wavefunction by orthogonal polynomials in the energy and physical parameters. Zbl 1452.81094
Alhaidari, A. D. |
|
2020
|
Resolution of the Klein paradox. Zbl 1220.81076
Alhaidari, A. D. |
|
2011
|
On the asymptotic solutions of the scattering problem. Zbl 1137.81371
Alhaidari, A. D. |
|
2008
|
Series solutions of Laguerre- and Jacobi-type differential equations in terms of orthogonal polynomials and physical applications. Zbl 1395.34015
Alhaidari, A. D. |
|
2018
|
Taming the Yukawa potential singularity: Improved evaluation of bound states and resonance energies. Zbl 1132.81014
Alhaidari, A. D.; Bahlouli, H.; Abdelmonem, M. S. |
|
2008
|
The three-dimensional Dirac oscillator in the presence of Aharonov-Bohm and magnetic monopole potentials. Zbl 1099.81027
Alhaidari, A. D. |
|
2005
|
Solution of the Dirac equation for potential interaction. Zbl 1042.81009
Alhaidari, A. D. |
|
2003
|
Solving Dirac equation using the tridiagonal matrix representation approach. Zbl 1364.81106
Alhaidari, A. D.; Bahlouli, H.; Assi, I. A. |
|
2016
|
Two new solvable potentials. Zbl 1166.81365
Alhaidari, A. D.; Bahlouli, H. |
|
2009
|
Representation reduction and solution space contraction in quasi-exactly solvable systems. Zbl 1113.81120
Alhaidari, A. D. |
|
2007
|
The relativistic \(J\)-matrix theory of scattering: an analytic solution. Zbl 1059.81172
Alhaidari, A. D. |
|
2002
|
Unified algebraic treatment of resonance. Zbl 1072.81054
Alhaidari, A. D. |
|
2005
|
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. |
|
2007
|
Renormalization of the strongly attractive inverse square potential: taming the singularity. Zbl 1302.81088
Alhaidari, A. D. |
|
2014
|
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. |
|
2009
|
Quantum systems associated with the Hahn and continuous Hahn polynomials. Zbl 1441.81132
Alhaidari, A. D.; Li, Y.-T. |
|
2018
|
Dirac equation with coupling to \(1/r\) singular vector potentials for all angular momenta. Zbl 1197.81112
Alhaidari, A. D. |
|
2010
|
Exponentially confining potential well. Zbl 1467.81030
Alhaidari, A. D. |
|
2021
|
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. |
|
2018
|
J-matrix method of scattering in one dimension: the nonrelativistic theory. Zbl 1179.81153
Alhaidari, A. D.; Bahlouli, H.; Abdelmonem, M. S. |
|
2009
|
Exact \(L^{2}\) series solution of the Dirac-Coulomb problem for all energies. Zbl 1045.81013
Alhaidari, A. D. |
|
2004
|
A class of singular logarithmic potentials in a box with different skin thicknesses and wall interactions. Zbl 1216.81061
Alhaidari, A. D. |
|
2010
|
Bound states and the potential parameter spectrum. Zbl 1452.81095
Alhaidari, A. D.; Bahlouli, H. |
|
2020
|
Evaluation of integrals involving orthogonal polynomials: Laguerre polynomial and Bessel function example. Zbl 1124.33005
Alhaidari, A. D. |
|
2007
|
Four-parameter \(1/r^2\) singular short-range potential with rich bound states and a resonance spectrum. Zbl 1398.81083
Alhaidari, A. D. |
|
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. |
|
2017
|
The Dirac-Coulomb problem: a mathematical revisit. Zbl 1255.81131
Alhaidari, A. D.; Bahlouli, H.; Ismail, M. E. H. |
|
2012
|
Series solution of a ten-parameter second-order differential equation with three regular singularities and one irregular singularity. Zbl 1445.81021
Alhaidari, A. D. |
|
2020
|
Response to “Comment on ‘bound states and the potential parameter spectrum”’ [J. Math. Phys. 62, 064101 (2021)]. Zbl 1467.81031
Alhaidari, A. D.; Bahlouli, H. |
|
2021
|
The supersymmetric Jaynes-Cummings model and its solutions. Zbl 1106.81084
Alhaidari, A. D. |
|
2006
|
Study of resonances in the complex charge plane. Zbl 1052.81107
Alhaidari, A. D. |
|
2004
|
The Dirac-oscillator Green’s function. Zbl 1063.81041
Alhaidari, A. D. |
|
2004
|
\(L^2\) series solutions of the Dirac equation for power-law potentials at rest mass energy. Zbl 1067.81019
Alhaidari, A. D. |
|
2004
|
Group-theoretical foundation of the \(J\)-matrix theory of scattering. Zbl 0968.81065
Alhaidari, Abdulaziz D. |
|
2000
|
Nonlinear spin and pseudo-spin symmetric Dirac equations. Zbl 1284.81101
Alhaidari, A. D. |
|
2014
|
Non-Hermitian non-PT-symmetric Dirac Hamiltonians with real energy eigenvalues. Zbl 1297.81087
Alhaidari, A. D. |
|
2013
|
Quantum mechanics without an equation of motion. Zbl 1317.81244
Alhaidari, A. D. |
|
2011
|
Confined systems with a linear energy spectrum. Zbl 1460.81034
Alhaidari, A. D.; Taiwo, T. J. |
|
2021
|
Relativistic Coulomb problem for \(Z\) larger than 137. Zbl 1194.81059
Alhaidari, A. D. |
|
2010
|
Solution of the Dirac equation with noncentral three-vector potential. Zbl 1091.81013
Alhaidari, A. D. |
|
2006
|
Erratum: “Series solutions of Heun-type equation in terms of orthogonal polynomials” [J. Math. Phys. 59, 113507 (2018)]. Zbl 1414.34009
Alhaidari, A. D. |
|
2019
|
Bound states of an inverse-cube singular potential: a candidate for electron-quadrupole binding. Zbl 1421.81032
Alhaidari, A. D. |
|
2019
|
Solving Schrödinger equation by mapping it into a Heun-type equation with known solutions. Zbl 1454.81056
Alhaidari, A. D. |
|
2020
|
Deformed Morse-like potential. Zbl 1500.81067
Assi, I. A.; Alhaidari, A. D.; Bahlouli, H. |
|
2021
|
\(J\)-matrix method of scattering for inverse-square singular potentials with supercritical coupling. I: No regularization. Zbl 1502.81060
Alhaidari, Abdulaziz D.; Bahlouli, Hocine; Aparicio, Carlos P.; Al-Marzoug, S. M. |
|
2022
|
Revisiting the Coulomb problem: a novel representation of the confluent hypergeometric function as an infinite sum of discrete Bessel functions. Zbl 1511.81040
Alhaidari, A. D. |
|
2023
|
Revisiting the Coulomb problem: a novel representation of the confluent hypergeometric function as an infinite sum of discrete Bessel functions. Zbl 1511.81040
Alhaidari, A. D. |
|
2023
|
\(J\)-matrix method of scattering for inverse-square singular potentials with supercritical coupling. I: No regularization. Zbl 1502.81060
Alhaidari, Abdulaziz D.; Bahlouli, Hocine; Aparicio, Carlos P.; Al-Marzoug, S. M. |
|
2022
|
Exponentially confining potential well. Zbl 1467.81030
Alhaidari, A. D. |
|
2021
|
Response to “Comment on ‘bound states and the potential parameter spectrum”’ [J. Math. Phys. 62, 064101 (2021)]. Zbl 1467.81031
Alhaidari, A. D.; Bahlouli, H. |
|
2021
|
Confined systems with a linear energy spectrum. Zbl 1460.81034
Alhaidari, A. D.; Taiwo, T. J. |
|
2021
|
Deformed Morse-like potential. Zbl 1500.81067
Assi, I. A.; Alhaidari, A. D.; Bahlouli, H. |
|
2021
|
Representation of the quantum mechanical wavefunction by orthogonal polynomials in the energy and physical parameters. Zbl 1452.81094
Alhaidari, A. D. |
|
2020
|
Bound states and the potential parameter spectrum. Zbl 1452.81095
Alhaidari, A. D.; Bahlouli, H. |
|
2020
|
Series solution of a ten-parameter second-order differential equation with three regular singularities and one irregular singularity. Zbl 1445.81021
Alhaidari, A. D. |
|
2020
|
Solving Schrödinger equation by mapping it into a Heun-type equation with known solutions. Zbl 1454.81056
Alhaidari, A. D. |
|
2020
|
Open problem in orthogonal polynomials. Zbl 1441.81090
Alhaidari, Abdulaziz D. |
|
2019
|
Erratum: “Series solutions of Heun-type equation in terms of orthogonal polynomials” [J. Math. Phys. 59, 113507 (2018)]. Zbl 1414.34009
Alhaidari, A. D. |
|
2019
|
Bound states of an inverse-cube singular potential: a candidate for electron-quadrupole binding. Zbl 1421.81032
Alhaidari, A. D. |
|
2019
|
Orthogonal polynomials derived from the tridiagonal representation approach. Zbl 1380.81095
Alhaidari, A. D. |
|
2018
|
Series solutions of Heun-type equation in terms of orthogonal polynomials. Zbl 1404.34017
Alhaidari, A. D. |
|
2018
|
Series solutions of Laguerre- and Jacobi-type differential equations in terms of orthogonal polynomials and physical applications. Zbl 1395.34015
Alhaidari, A. D. |
|
2018
|
Quantum systems associated with the Hahn and continuous Hahn polynomials. Zbl 1441.81132
Alhaidari, A. D.; Li, Y.-T. |
|
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. |
|
2018
|
Four-parameter \(1/r^2\) singular short-range potential with rich bound states and a resonance spectrum. Zbl 1398.81083
Alhaidari, A. D. |
|
2018
|
Solution of the nonrelativistic wave equation using the tridiagonal representation approach. Zbl 1370.81052
Alhaidari, A. D. |
|
2017
|
Wilson-Racah quantum system. Zbl 1357.81156
Alhaidari, A. D.; Taiwo, T. J. |
|
2017
|
Reconstructing the potential function in a formulation of quantum mechanics based on orthogonal polynomials. Zbl 1382.81006
Alhaidari, A. D. |
|
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. |
|
2017
|
Solving Dirac equation using the tridiagonal matrix representation approach. Zbl 1364.81106
Alhaidari, A. D.; Bahlouli, H.; Assi, I. A. |
|
2016
|
Quantum mechanics without potential function. Zbl 1330.81105
Alhaidari, A. D.; Ismail, M. E. H. |
|
2015
|
Renormalization of the strongly attractive inverse square potential: taming the singularity. Zbl 1302.81088
Alhaidari, A. D. |
|
2014
|
Nonlinear spin and pseudo-spin symmetric Dirac equations. Zbl 1284.81101
Alhaidari, A. D. |
|
2014
|
Non-Hermitian non-PT-symmetric Dirac Hamiltonians with real energy eigenvalues. Zbl 1297.81087
Alhaidari, A. D. |
|
2013
|
The Dirac-Coulomb problem: a mathematical revisit. Zbl 1255.81131
Alhaidari, A. D.; Bahlouli, H.; Ismail, M. E. H. |
|
2012
|
Resolution of the Klein paradox. Zbl 1220.81076
Alhaidari, A. D. |
|
2011
|
Quantum mechanics without an equation of motion. Zbl 1317.81244
Alhaidari, A. D. |
|
2011
|
Extending the class of solvable potentials. III: The hyperbolic single wave. Zbl 1190.81063
Bahlouli, H.; Alhaidari, A. D. |
|
2010
|
Extending the class of solvable potentials. II: Screened Coulomb potential with a barrier. Zbl 1190.81062
Alhaidari, A. D. |
|
2010
|
Dirac equation with coupling to \(1/r\) singular vector potentials for all angular momenta. Zbl 1197.81112
Alhaidari, A. D. |
|
2010
|
A class of singular logarithmic potentials in a box with different skin thicknesses and wall interactions. Zbl 1216.81061
Alhaidari, A. D. |
|
2010
|
Relativistic Coulomb problem for \(Z\) larger than 137. Zbl 1194.81059
Alhaidari, A. D. |
|
2010
|
Two new solvable potentials. Zbl 1166.81365
Alhaidari, A. D.; Bahlouli, H. |
|
2009
|
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. |
|
2009
|
J-matrix method of scattering in one dimension: the nonrelativistic theory. Zbl 1179.81153
Alhaidari, A. D.; Bahlouli, H.; Abdelmonem, M. S. |
|
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. |
|
2008
|
Extending the class of solvable potentials. I: The infinite potential well with a sinusoidal bottom. Zbl 1152.81313
Alhaidari, A. D.; Bahlouli, H. |
|
2008
|
The J-matrix method. Development and applications. Foreword by Hashim A. Yamani and Eric J. Heller. Zbl 1140.81004
|
|
2008
|
On the asymptotic solutions of the scattering problem. Zbl 1137.81371
Alhaidari, A. D. |
|
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. |
|
2008
|
Charged particle in the field of an electric quadrupole in two dimensions. Zbl 1129.81346
Alhaidari, A. D. |
|
2007
|
Representation reduction and solution space contraction in quasi-exactly solvable systems. Zbl 1113.81120
Alhaidari, A. D. |
|
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. |
|
2007
|
Evaluation of integrals involving orthogonal polynomials: Laguerre polynomial and Bessel function example. Zbl 1124.33005
Alhaidari, A. D. |
|
2007
|
Dirac and Klein-Gordon equations with equal scalar and vector potentials. Zbl 1195.81043
Alhaidari, A. D.; Bahlouli, H.; Al-Hasan, A. |
|
2006
|
The supersymmetric Jaynes-Cummings model and its solutions. Zbl 1106.81084
Alhaidari, A. D. |
|
2006
|
Solution of the Dirac equation with noncentral three-vector potential. Zbl 1091.81013
Alhaidari, A. D. |
|
2006
|
An extended class of \(L^2\)-series solutions of the wave equation. Zbl 1077.81037
Alhaidari, A. D. |
|
2005
|
Scattering and bound states for a class of non-central potentials. Zbl 1088.81041
Alhaidari, A. D. |
|
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. |
|
2005
|
The three-dimensional Dirac oscillator in the presence of Aharonov-Bohm and magnetic monopole potentials. Zbl 1099.81027
Alhaidari, A. D. |
|
2005
|
Unified algebraic treatment of resonance. Zbl 1072.81054
Alhaidari, A. D. |
|
2005
|
Solution of the Dirac equation with position-dependent mass in the Coulomb field. Zbl 1118.81303
Alhaidari, A. D. |
|
2004
|
\(L^{2}\) series solution of the relativistic Dirac-Morse problem for all energies. Zbl 1161.81338
Alhaidari, A. D. |
|
2004
|
Solution of the relativistic Dirac-Hulthén problem. Zbl 1052.81659
Alhaidari, A. D. |
|
2004
|
Exact \(L^{2}\) series solution of the Dirac-Coulomb problem for all energies. Zbl 1045.81013
Alhaidari, A. D. |
|
2004
|
Study of resonances in the complex charge plane. Zbl 1052.81107
Alhaidari, A. D. |
|
2004
|
The Dirac-oscillator Green’s function. Zbl 1063.81041
Alhaidari, A. D. |
|
2004
|
\(L^2\) series solutions of the Dirac equation for power-law potentials at rest mass energy. Zbl 1067.81019
Alhaidari, A. D. |
|
2004
|
Nonrelativistic Green’s function for systems with position-dependent mass. Zbl 1040.81008
Alhaidari, A. D. |
|
2003
|
Solution of the Dirac equation for potential interaction. Zbl 1042.81009
Alhaidari, A. D. |
|
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. |
|
2002
|
Corrigendum: ”Relativistic extension of shape-invariant potentials”. Zbl 1066.81626
Alhaidari, A. D. |
|
2002
|
The relativistic \(J\)-matrix theory of scattering: an analytic solution. Zbl 1059.81172
Alhaidari, A. D. |
|
2002
|
Relativistic extension of shape-invariant potentials. Zbl 0992.81083
Alhaidari, Abdulaziz D. |
|
2001
|
Group-theoretical foundation of the \(J\)-matrix theory of scattering. Zbl 0968.81065
Alhaidari, Abdulaziz D. |
|
2000
|