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Author ID: quesne.christiane Recent zbMATH articles by "Quesne, Christiane"
Published as: Quesne, C.; Quesne, Christiane
Homepage: https://www.ulb.ac.be/rech/inventaire/chercheurs/6/CH1116.html
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Publications by Year

Citations contained in zbMATH Open

147 Publications have been cited 2,023 times in 1,106 Documents Cited by Year
Linear canonical transformations and their unitary representations. Zbl 0247.20051
Moshinsky, M.; Quesne, C.
171
1971
Exceptional orthogonal polynomials, exactly solvable potentials and supersymmetry. Zbl 1192.81174
Quesne, C.
120
2008
Deformed algebras, position-dependent effective masses and curved spaces: an exactly solvable Coulomb problem. Zbl 1063.81070
Quesne, C.; Tkachuk, V. M.
80
2004
\(\text{sl}(2, \mathbb C)\) as a complex Lie algebra and the associated non-Hermitian Hamiltonians with real eigenvalues. Zbl 1050.81546
Bagchi, B.; Quesne, C.
62
2000
Dirac oscillator with nonzero minimal uncertainty in position. Zbl 1061.81023
Quesne, C.; Tkachuk, V. M.
58
2005
Deformed shape invariance and exactly solvable Hamiltonians with position-dependent effective mass. Zbl 1084.81072
Bagchi, B.; Banerjee, A.; Quesne, C.; Tkachuk, V. M.
58
2005
Solvable rational potentials and exceptional orthogonal polynomials in supersymmetric quantum mechanics. Zbl 1188.81071
Quesne, Christiane
56
2009
First-order intertwining operators and position-dependent mass Schrödinger equations in \(d\) dimensions. Zbl 1092.81016
Quesne, C.
47
2006
A new ring-shaped potential and its dynamical invariance algebra. Zbl 0695.35190
Quesne, C.
39
1988
Lorentz-covariant deformed algebra with minimal length and application to the \((1 + 1)\)-dimensional Dirac oscillator. Zbl 1168.81014
Quesne, C.; Tkachuk, V. M.
39
2006
Non-Hermitian Hamiltonians with real and complex eigenvalues in a Lie-algebraic framework. Zbl 0997.81036
Bagchi, B.; Quesne, C.
35
2002
Higher-order SUSY, exactly solvable potentials, and exceptional orthogonal polynomials. Zbl 1274.81113
Quesne, C.
34
2011
Coherent states of the real symplectic group in a complex analytic parametrization. I: Unitary-operator coherent states. Zbl 0593.22020
Quesne, C.
34
1986
Symmetry Lie algebra of the Dirac oscillator. Zbl 0725.35083
Quesne, C.; Moshinsky, M.
33
1990
A general scheme for the effective-mass Schrödinger equation and the generation of the associated potentials. Zbl 1065.81039
Bagchi, B.; Gorain, P.; Quesne, C.; Roychoudhury, R.
33
2004
Generalized continuity equation and modified normalization in \(PT\)-symmetric quantum mechanics. Zbl 1138.81375
Bagchi, B.; Quesne, C.; Znojil, M.
33
2001
New \(q\)-deformed coherent states with an explicitly known resolution of unity. Zbl 1044.81064
Quesne, C.
29
2002
Novel enlarged shape invariance property and exactly solvable rational extensions of the Rosen-Morse II and Eckart potentials. Zbl 1269.81044
Quesne, Christiane
29
2012
PT-symmetric sextic potentials. Zbl 1115.81392
Bagchi, B.; Cannata, F.; Quesne, C.
27
2000
Nonvariance groups in the second-quantization picture and their applications. Zbl 0194.29501
Moshinsky, M.; Quesne, C.
27
1970
Lorentz-covariant deformed algebra with minimal length. Zbl 1109.81045
Quesne, C.; Tkachuk, V. M.
25
2006
Two-step rational extensions of the harmonic oscillator: exceptional orthogonal polynomials and ladder operators. Zbl 1267.81174
Marquette, I.; Quesne, C.
24
2013
Maths-type \(q\)-deformed coherent states for \(q>1\). Zbl 1037.81051
Quesne, C.; Penson, K. A.; Tkachuk, V. M.
24
2003
New families of superintegrable systems from Hermite and Laguerre exceptional orthogonal polynomials. Zbl 1282.70036
Marquette, Ian; Quesne, Christiane
23
2013
Generalized deformed parafermions, nonlinear deformations of \(\text{so}(3)\) and exactly solvable potentials. Zbl 0959.81552
Quesne, C.
23
1994
Rationally-extended radial oscillators and Laguerre exceptional orthogonal polynomials in \(k\)th-order SUSYQM. Zbl 1247.81155
Quesne, C.
22
2011
Pseudo-Hermiticity, weak pseudo-Hermiticity and \(\eta \)-orthogonality condition. Zbl 0997.81027
Bagchi, B.; Quesne, C.
21
2002
Boson representations of the real symplectic group and their applications to the nuclear collective model. Zbl 0594.22012
Deenen, J.; Quesne, C.
21
1985
Generating complex potentials with real eigenvalues in supersymmetric quantum mechanics. Zbl 1018.81020
Bagchi, B.; Mallik, S.; Quesne, C.
21
2001
Revisiting (quasi-)exactly solvable rational extensions of the Morse potential. Zbl 1247.81156
Quesne, C.
20
2012
Dynamical potential algebras for Gendenshtein and Morse potentials. Zbl 0752.22015
Englefield, M. J.; Quesne, C.
19
1991
Disconjugacy, regularity of multi-indexed rationally extended potentials, and Laguerre exceptional polynomials. Zbl 1284.81128
Grandati, Y.; Quesne, C.
19
2013
New ladder operators for a rational extension of the harmonic oscillator and superintegrability of some two-dimensional systems. Zbl 1284.81147
Marquette, Ian; Quesne, Christiane
19
2013
\(C_ \lambda\)-extended harmonic oscillator and (para)supersymmetric quantum mechanics. Zbl 1044.81579
Quesne, C.; Vansteenkiste, N.
19
1998
Harmonic oscillator with nonzero minimal uncertainties in both position and momentum in a SUSYQM framework. Zbl 1057.81036
Quesne, C.; Tkachuk, V. M.
18
2003
Superintegrability of the Tremblay-Turbiner-Winternitz quantum Hamiltonians on a plane for odd \(k\). Zbl 1185.81090
Quesne, C.
18
2010
More on a SUSYQM approach to the harmonic oscillator with nonzero minimal uncertainties in position and/or momentum. Zbl 1064.81059
Quesne, C.; Tkachuk, V. M.
16
2004
Complexified PSUSY and SSUSY interpretations of some PT-symmetric Hamiltonians possessing two series of real energy eigenvalues. Zbl 1022.81016
Bagchi, B.; Mallik, S.; Quesne, C.
16
2002
Generalized Morse potential: symmetry and satellite potentials. Zbl 0956.81009
Del Sol Mesa, A.; Quesne, C.; Smirnov, Yu. F.
16
1998
Point canonical transformation versus deformed shape invariance for position-dependent mass Schrödinger equations. Zbl 1160.81377
Quesne, Christiane
16
2009
Confluent chains of DBT: enlarged shape invariance and new orthogonal polynomials. Zbl 1326.81063
Grandati, Yves; Quesne, Christiane
16
2015
Connection between quantum systems involving the fourth Painlevé transcendent and \(k\)-step rational extensions of the harmonic oscillator related to Hermite exceptional orthogonal polynomial. Zbl 1375.81100
Marquette, Ian; Quesne, Christiane
15
2016
Pseudo-Hermiticity and some consequences of a generalized quantum condition. Zbl 1081.81037
Bagchi, B.; Quesne, C.; Roychoudhury, R.
14
2005
Disentangling \(q\)-exponentials: a general approach. Zbl 1057.81042
Quesne, C.
14
2004
Canonical transformations and matrix elements. Zbl 0247.20052
Quesne, C.; Moshinsky, M.
13
1971
Generalized nonlinear oscillators with quasi-harmonic behaviour: classical solutions. Zbl 1305.70040
Quesne, C.
13
2015
Combined state-adding and state-deleting approaches to type III multi-step rationally extended potentials: applications to ladder operators and superintegrability. Zbl 1332.81058
Marquette, Ian; Quesne, Christiane
13
2014
Quadratic algebra approach to an exactly solvable position-dependent mass Schrödinger equation in two dimensions. Zbl 1193.81047
Quesne, Christiane
13
2007
Nonlinear deformations of su(2) and su(1,1) generalizing Witten’s algebra. Zbl 0773.17011
Delbecq, C.; Quesne, C.
12
1993
Group theory and its applications. Vol. III. Zbl 0351.20006
12
1975
An update on the \({\mathcal {PT}}\)-symmetric complexified Scarf II potential, spectral singularities and some remarks on the rationally extended supersymmetric partners. Zbl 1194.81083
Bagchi, B.; Quesne, C.
12
2010
On some nonlinear extensions of the angular momentum algebra. Zbl 0851.17031
Quesne, C.
11
1995
Morse potential and its relationship with the Coulomb in a position-dependent mass background. Zbl 1115.81331
Bagchi, B.; Gorain, P. S.; Quesne, C.
11
2006
Even and odd \(q\)-deformed charge coherent states and their nonclassical properties. Zbl 1056.81038
Liu, X.-M.; Quesne, C.
11
2003
PT symmetric square well and the associated SUSY hierarchies. Zbl 1083.81522
Bagchi, B.; Mallik, S.; Quesne, C.
11
2002
Supersymmetry and the Dirac oscillator. Zbl 0738.58059
Quesne, C.
10
1991
Spectrum generating algebra of the \(C_{\lambda}\)-extended oscillator and multiphoton coherent states. Zbl 1115.81360
Quesne, C.
10
2000
Extending Romanovski polynomials in quantum mechanics. Zbl 1285.81020
Quesne, C.
10
2013
Boson realization of \({\mathfrak sp}(4)\). I: The matrix formulation. Zbl 0575.22022
Castaños, O.; Chacón, E.; Moshinsky, M.; Quesne, C.
10
1985
\(C_ \lambda\)-extended oscillator algebras and some of their deformations and applications to quantum mechanics. Zbl 1035.81516
Quesne, C.; Vansteenkiste, N.
10
2000
A cubic deformation of \(\text{su}(2)\). Zbl 1021.81568
Delbecq, C.; Quesne, C.
10
1993
Rational extensions of the trigonometric Darboux-Pöschl-Teller potential based on para-Jacobi polynomials. Zbl 1317.81135
Bagchi, B.; Grandati, Y.; Quesne, C.
10
2015
Quantum oscillator and Kepler-Coulomb problems in curved spaces: deformed shape invariance, point canonical transformations, and rational extensions. Zbl 1349.81102
Quesne, C.
10
2016
A nonlinear deformed su(2) algebra with a two-color quasitriangular Hopf structure. Zbl 0872.17012
Bonatsos, D.; Daskaloyannis, C.; Kolokotronis, P.; Ludu, A.; Quesne, C.
9
1997
Pseudo-Hermitian versus Hermitian position-dependent-mass Hamiltonians in a perturbative framework. Zbl 1091.81022
Bagchi, B.; Quesne, C.; Roychoudhury, R.
9
2006
Fractional supersymmetric quantum mechanics, topological invariants and generalized deformed oscillator algebras. Zbl 1076.81515
Quesne, C.
9
2003
Spectrum generating algebras for position-dependent mass oscillator Schrödinger equations. Zbl 1127.81008
Quesne, C.
8
2007
Generalized coherent states associated with the \(C_ \lambda\)-extended oscillator. Zbl 1033.81047
Quesne, C.
8
2001
A PT-symmetric QES partner to the Khare-Mandal potential with real eigenvalues. Zbl 0972.81026
Bagchi, B.; Mallik, S.; Quesne, C.; Roychoudhury, R.
8
2001
\({\mathcal N}=2\) supersymmetric extension of the Tremblay-Turbiner-Winternitz Hamiltonians on a plane. Zbl 1194.81113
Quesne, C.
8
2010
A non-Hermitian oscillator Hamiltonian and \(\text{su}(1,1)\): a way towards generalizations. Zbl 1120.81037
Quesne, C.
7
2007
Complementarity of \(su_ q(3)\) and \(u_ q(2)\) and \(q\)-boson realization of the \(su_ q(3)\) irreducible representations. Zbl 0772.17005
Quesne, C.
7
1992
Vector coherent state theory of the semidirect sum Lie algebras wsp(2N,\({\mathbb{R}})\). Zbl 0715.22026
Quesne, C.
7
1990
Sum rules for the matrices of the generators of SU(3) in an SO(3) basis. Zbl 0427.22018
Partensky, A.; Quesne, C.
7
1979
Casimir operators of semidirect sum Lie algebras. Zbl 0664.17005
Quesne, C.
7
1988
Raising and lowering operators for \(u_ q(n)\). Zbl 0784.17025
Quesne, C.
6
1993
Recursively minimally-deformed oscillators. Zbl 0879.47048
Katriel, J.; Quesne, C.
6
1996
Generalized vector coherent state theory of \(sp(2N,\mathbb{R}{})\) vector operators and of \(sp(2N,\mathbb{R}{})\supset{} u(N)\) reduced Wigner coefficients. Zbl 0748.22010
Quesne, C.
6
1991
Supersymmetry and superalgbra for the two-body system with a Dirac oscillator interaction. Zbl 0900.70153
Moshinsky, M.; Quesne, C.; Smirnov, Yu. F.
6
1995
The Dirac oscillator from theory to experiment. Zbl 1360.81159
Quesne, C.
6
2017
Canonical solution of the state labelling problem for SU(n)\(\supset SO(n)\) and Littlewood’s branching rule: II. Use of modification rules. Zbl 0577.22018
Quesne, C.
6
1984
Comment: “Application of nonlinear deformation algebra to a physical system with Pöschl-Teller potential” by J.-L. Chen, Y. Liu and M.-L. Ge. Zbl 1042.81548
Quesne, C.
6
1999
An update on the classical and quantum harmonic oscillators on the sphere and the hyperbolic plane in polar coordinates. Zbl 1323.34048
Quesne, C.
6
2015
Generalized deformed commutation relations with nonzero minimal uncertainties in position and/or momentum and applications to quantum mechanics. Zbl 1136.81023
Quesne, Christiane; Tkachuk, Volodymyr M.
6
2007
Colored quantum universal enveloping algebras. Zbl 0889.17003
Quesne, C.
5
1997
Determination of the Sp(2d,R) generator matrix elements through a boson mapping. Zbl 0544.22014
Deenen, J.; Quesne, C.
5
1984
\({\mathcal{PT}}\)-symmetric supersymmetry in a solvable short-range model. Zbl 1095.81028
Bagchi, B.; Mallik, S.; Bíla, H.; Jakubský, V.; Znojil, M.; Quesne, C.
5
2006
Canonical solution of the state labelling problem for SU(n)\(\supset SO(n)\) and Littlewood’s branching rule: I. General formulation. Zbl 0577.22017
Deenen, J.; Quesne, C.
5
1983
Algebraic realization of supersymmetric quantum mechanics for cyclic shape invariant potentials. Zbl 0930.34064
Quesne, Christiane; Vansteenkiste, Nicolas
5
1999
Connection between type A and E factorizations and construction of satellite algebras. Zbl 0954.81025
Del Sol Mesa, A.; Quesne, C.
5
2000
Ladder operators and hidden algebras for shape invariant nonseparable and nondiagonalizable models with quadratic complex interaction. I: two-dimensional model. Zbl 1484.81030
Marquette, Ian; Quesne, Christiane
5
2022
Zero-energy states for a class of quasi-exactly solvable rational potentials. Zbl 1052.81513
Bagchi, B.; Quesne, C.
5
1997
Connection between type B (or C) and F factorizations and construction of algebras. Zbl 1041.81014
Del Sol Mesa, A.; Quesne, C.
5
2002
Exchange operator formalism for an infinite family of solvable and integrable quantum systems on a plane. Zbl 1184.81072
Quesne, C.
5
2010
Quasi-Hermitian supersymmetric extensions of a non-Hermitian oscillator Hamiltonian and of its generalizations. Zbl 1140.81391
Quesne, C.
5
2008
Creation and annihilation operators and coherent states for the \(PT\)-symmetric oscillator. Zbl 1138.81420
Bagchi, B.; Quesne, C.
5
2001
A complex periodic QES potential and exceptional points. Zbl 1132.81015
Bagchi, B.; Quesne, C.; Roychoudhury, R.
5
2008
Art or science: The determination of the symmetry Lie algebra for a Hamiltonian with accidental degeneracy. Zbl 0875.22002
Moshinsky, M.; Quesne, C.; Loyola, G.
4
1990
Does accidental degeneracy imply a symmetry group? Zbl 0562.70013
Moshinsky, M.; Quesne, C.
4
1983
\({\mathcal{CPT}}\)-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators \({\mathcal C}\). Zbl 1091.81023
Bagchi, Bijan; Banerjee, A.; Caliceti, Emanuela; Cannata, Francesco; Geyer, Hendrik B.; Quesne, Christiane; Znojil, Miloslav
4
2005
Ladder operators and hidden algebras for shape invariant nonseparable and nondiagonalizable models with quadratic complex interaction. I: two-dimensional model. Zbl 1484.81030
Marquette, Ian; Quesne, Christiane
5
2022
Dynamical symmetry algebras of two superintegrable two-dimensional systems. Zbl 1520.81086
Marquette, I.; Quesne, C.
2
2022
Ladder operators and hidden algebras for shape invariant nonseparable and nondiagonalizable models with quadratic complex interaction. II: Three-dimensional model. Zbl 1484.81031
Marquette, Ian; Quesne, Christiane
1
2022
Comment on: “Exact solution of the position-dependent effective mass and angular frequency Schrödinger equation: harmonic oscillator model with quantized confinement parameter”. Zbl 1519.81190
Quesne, C.
1
2021
Deformed shape invariance symmetry and potentials in curved space with two known eigenstates. Zbl 1386.81069
Quesne, C.
3
2018
Infinite families of position-dependent mass Schrödinger equations with known ground and first excited states. Zbl 1404.81127
Quesne, C.
2
2018
The Dirac oscillator from theory to experiment. Zbl 1360.81159
Quesne, C.
6
2017
Families of quasi-exactly solvable extensions of the quantum oscillator in curved spaces. Zbl 1364.81131
Quesne, C.
4
2017
Connection between quantum systems involving the fourth Painlevé transcendent and \(k\)-step rational extensions of the harmonic oscillator related to Hermite exceptional orthogonal polynomial. Zbl 1375.81100
Marquette, Ian; Quesne, Christiane
15
2016
Quantum oscillator and Kepler-Coulomb problems in curved spaces: deformed shape invariance, point canonical transformations, and rational extensions. Zbl 1349.81102
Quesne, C.
10
2016
Addendum to “An update on the classical and quantum harmonic oscillators on the sphere and the hyperbolic plane in polar coordinates”. Zbl 1349.34119
Quesne, C.
1
2016
Confluent chains of DBT: enlarged shape invariance and new orthogonal polynomials. Zbl 1326.81063
Grandati, Yves; Quesne, Christiane
16
2015
Generalized nonlinear oscillators with quasi-harmonic behaviour: classical solutions. Zbl 1305.70040
Quesne, C.
13
2015
Rational extensions of the trigonometric Darboux-Pöschl-Teller potential based on para-Jacobi polynomials. Zbl 1317.81135
Bagchi, B.; Grandati, Y.; Quesne, C.
10
2015
An update on the classical and quantum harmonic oscillators on the sphere and the hyperbolic plane in polar coordinates. Zbl 1323.34048
Quesne, C.
6
2015
Deformed oscillator algebra approach of some quantum superintegrable Lissajous systems on the sphere and of their rational extensions. Zbl 1322.81054
Marquette, Ian; Quesne, Christiane
4
2015
Combined state-adding and state-deleting approaches to type III multi-step rationally extended potentials: applications to ladder operators and superintegrability. Zbl 1332.81058
Marquette, Ian; Quesne, Christiane
13
2014
Two-step rational extensions of the harmonic oscillator: exceptional orthogonal polynomials and ladder operators. Zbl 1267.81174
Marquette, I.; Quesne, C.
24
2013
New families of superintegrable systems from Hermite and Laguerre exceptional orthogonal polynomials. Zbl 1282.70036
Marquette, Ian; Quesne, Christiane
23
2013
Disconjugacy, regularity of multi-indexed rationally extended potentials, and Laguerre exceptional polynomials. Zbl 1284.81128
Grandati, Y.; Quesne, C.
19
2013
New ladder operators for a rational extension of the harmonic oscillator and superintegrability of some two-dimensional systems. Zbl 1284.81147
Marquette, Ian; Quesne, Christiane
19
2013
Extending Romanovski polynomials in quantum mechanics. Zbl 1285.81020
Quesne, C.
10
2013
Novel enlarged shape invariance property and exactly solvable rational extensions of the Rosen-Morse II and Eckart potentials. Zbl 1269.81044
Quesne, Christiane
29
2012
Revisiting (quasi-)exactly solvable rational extensions of the Morse potential. Zbl 1247.81156
Quesne, C.
20
2012
Higher-order SUSY, exactly solvable potentials, and exceptional orthogonal polynomials. Zbl 1274.81113
Quesne, C.
34
2011
Rationally-extended radial oscillators and Laguerre exceptional orthogonal polynomials in \(k\)th-order SUSYQM. Zbl 1247.81155
Quesne, C.
22
2011
Revisiting the symmetries of the quantum Smorodinsky-Winternitz system in \(D\) dimensions. Zbl 1217.81066
Quesne, Christiane
3
2011
Comment on ‘Supersymmetry, PT-symmetry and spectral bifurcation’. Zbl 1208.81106
Bagchi, B.; Quesne, C.
2
2011
Superintegrability of the Tremblay-Turbiner-Winternitz quantum Hamiltonians on a plane for odd \(k\). Zbl 1185.81090
Quesne, C.
18
2010
An update on the \({\mathcal {PT}}\)-symmetric complexified Scarf II potential, spectral singularities and some remarks on the rationally extended supersymmetric partners. Zbl 1194.81083
Bagchi, B.; Quesne, C.
12
2010
\({\mathcal N}=2\) supersymmetric extension of the Tremblay-Turbiner-Winternitz Hamiltonians on a plane. Zbl 1194.81113
Quesne, C.
8
2010
Exchange operator formalism for an infinite family of solvable and integrable quantum systems on a plane. Zbl 1184.81072
Quesne, C.
5
2010
Chiral super-Tremblay-Turbiner-Winternitz Hamiltonians and their dynamical superalgebra. Zbl 1204.81083
Quesne, C.
2
2010
Comments on dihedral and supersymmetric extensions of a family of Hamiltonians on a plane. Zbl 1194.81114
Quesne, C.
2
2010
Solvable rational potentials and exceptional orthogonal polynomials in supersymmetric quantum mechanics. Zbl 1188.81071
Quesne, Christiane
56
2009
Point canonical transformation versus deformed shape invariance for position-dependent mass Schrödinger equations. Zbl 1160.81377
Quesne, Christiane
16
2009
Exceptional orthogonal polynomials, exactly solvable potentials and supersymmetry. Zbl 1192.81174
Quesne, C.
120
2008
Quasi-Hermitian supersymmetric extensions of a non-Hermitian oscillator Hamiltonian and of its generalizations. Zbl 1140.81391
Quesne, C.
5
2008
A complex periodic QES potential and exceptional points. Zbl 1132.81015
Bagchi, B.; Quesne, C.; Roychoudhury, R.
5
2008
Oscillator-Morse-Coulomb mappings and algebras for constant or position-dependent mass. Zbl 1153.81422
Quesne, C.
2
2008
Quadratic algebra approach to an exactly solvable position-dependent mass Schrödinger equation in two dimensions. Zbl 1193.81047
Quesne, Christiane
13
2007
Spectrum generating algebras for position-dependent mass oscillator Schrödinger equations. Zbl 1127.81008
Quesne, C.
8
2007
A non-Hermitian oscillator Hamiltonian and \(\text{su}(1,1)\): a way towards generalizations. Zbl 1120.81037
Quesne, C.
7
2007
Generalized deformed commutation relations with nonzero minimal uncertainties in position and/or momentum and applications to quantum mechanics. Zbl 1136.81023
Quesne, Christiane; Tkachuk, Volodymyr M.
6
2007
First-order intertwining operators and position-dependent mass Schrödinger equations in \(d\) dimensions. Zbl 1092.81016
Quesne, C.
47
2006
Lorentz-covariant deformed algebra with minimal length and application to the \((1 + 1)\)-dimensional Dirac oscillator. Zbl 1168.81014
Quesne, C.; Tkachuk, V. M.
39
2006
Lorentz-covariant deformed algebra with minimal length. Zbl 1109.81045
Quesne, C.; Tkachuk, V. M.
25
2006
Morse potential and its relationship with the Coulomb in a position-dependent mass background. Zbl 1115.81331
Bagchi, B.; Gorain, P. S.; Quesne, C.
11
2006
Pseudo-Hermitian versus Hermitian position-dependent-mass Hamiltonians in a perturbative framework. Zbl 1091.81022
Bagchi, B.; Quesne, C.; Roychoudhury, R.
9
2006
\({\mathcal{PT}}\)-symmetric supersymmetry in a solvable short-range model. Zbl 1095.81028
Bagchi, B.; Mallik, S.; Bíla, H.; Jakubský, V.; Znojil, M.; Quesne, C.
5
2006
Hamiltonians with position-dependent mass, deformations and supersymmetry. Zbl 1121.81118
Quesne, C.; Bagchi, B.; Banerjee, A.; Tkachuk, V. M.
4
2006
Dirac oscillator with nonzero minimal uncertainty in position. Zbl 1061.81023
Quesne, C.; Tkachuk, V. M.
58
2005
Deformed shape invariance and exactly solvable Hamiltonians with position-dependent effective mass. Zbl 1084.81072
Bagchi, B.; Banerjee, A.; Quesne, C.; Tkachuk, V. M.
58
2005
Pseudo-Hermiticity and some consequences of a generalized quantum condition. Zbl 1081.81037
Bagchi, B.; Quesne, C.; Roychoudhury, R.
14
2005
\({\mathcal{CPT}}\)-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators \({\mathcal C}\). Zbl 1091.81023
Bagchi, Bijan; Banerjee, A.; Caliceti, Emanuela; Cannata, Francesco; Geyer, Hendrik B.; Quesne, Christiane; Znojil, Miloslav
4
2005
\(k\)-component \(q\)-deformed charge coherent states and their nonclassical properties. Zbl 1110.81109
Liu, X.-M.; Quesne, C.; Song, F.
2
2005
Weakly non-Hermitian square well. Zbl 1465.81022
Bila, H.; Jakubský, V.; Znojil, M.; Bagchi, B.; Mallik, S.; Quesne, C.
2
2005
\(\mathcal{PT}\)-supersymmetric partner of a short-range square well. Zbl 1465.81044
Quesne, C.; Bagchi, B.; Mallik, S.; Bíla, H.; Jakubský, V.; Znojil, M.
1
2005
Deformed algebras, position-dependent effective masses and curved spaces: an exactly solvable Coulomb problem. Zbl 1063.81070
Quesne, C.; Tkachuk, V. M.
80
2004
A general scheme for the effective-mass Schrödinger equation and the generation of the associated potentials. Zbl 1065.81039
Bagchi, B.; Gorain, P.; Quesne, C.; Roychoudhury, R.
33
2004
More on a SUSYQM approach to the harmonic oscillator with nonzero minimal uncertainties in position and/or momentum. Zbl 1064.81059
Quesne, C.; Tkachuk, V. M.
16
2004
Disentangling \(q\)-exponentials: a general approach. Zbl 1057.81042
Quesne, C.
14
2004
Comment on: “Maths-type \(q\)-deformed coherent states for \(q>1\)”. Zbl 1118.81424
Quesne, C.; Penson, K. A.; Tkachuk, V. M.
3
2004
Conditionally exactly solvable potential and dual transformation in quantum mechanics. Zbl 1045.81053
Bagchi, B.; Quesne, C.
1
2004
Maths-type \(q\)-deformed coherent states for \(q>1\). Zbl 1037.81051
Quesne, C.; Penson, K. A.; Tkachuk, V. M.
24
2003
Harmonic oscillator with nonzero minimal uncertainties in both position and momentum in a SUSYQM framework. Zbl 1057.81036
Quesne, C.; Tkachuk, V. M.
18
2003
Even and odd \(q\)-deformed charge coherent states and their nonclassical properties. Zbl 1056.81038
Liu, X.-M.; Quesne, C.
11
2003
Fractional supersymmetric quantum mechanics, topological invariants and generalized deformed oscillator algebras. Zbl 1076.81515
Quesne, C.
9
2003
Non-Hermitian Hamiltonians with real and complex eigenvalues in a Lie-algebraic framework. Zbl 0997.81036
Bagchi, B.; Quesne, C.
35
2002
New \(q\)-deformed coherent states with an explicitly known resolution of unity. Zbl 1044.81064
Quesne, C.
29
2002
Pseudo-Hermiticity, weak pseudo-Hermiticity and \(\eta \)-orthogonality condition. Zbl 0997.81027
Bagchi, B.; Quesne, C.
21
2002
Complexified PSUSY and SSUSY interpretations of some PT-symmetric Hamiltonians possessing two series of real energy eigenvalues. Zbl 1022.81016
Bagchi, B.; Mallik, S.; Quesne, C.
16
2002
PT symmetric square well and the associated SUSY hierarchies. Zbl 1083.81522
Bagchi, B.; Mallik, S.; Quesne, C.
11
2002
Connection between type B (or C) and F factorizations and construction of algebras. Zbl 1041.81014
Del Sol Mesa, A.; Quesne, C.
5
2002
PT-symmetric nonpolynomial oscillators and hyperbolic potential with two known real eigenvalues in a SUSY framework. Zbl 1083.81600
Bagchi, B.; Quesne, C.
3
2002
Reducibility and bosonization of parasupersymmetric and orthosupersymmetric quantum mechanics. Zbl 1083.81526
Quesne, C.; Vansteenkiste, N.
2
2002
Generalized continuity equation and modified normalization in \(PT\)-symmetric quantum mechanics. Zbl 1138.81375
Bagchi, B.; Quesne, C.; Znojil, M.
33
2001
Generating complex potentials with real eigenvalues in supersymmetric quantum mechanics. Zbl 1018.81020
Bagchi, B.; Mallik, S.; Quesne, C.
21
2001
Generalized coherent states associated with the \(C_ \lambda\)-extended oscillator. Zbl 1033.81047
Quesne, C.
8
2001
A PT-symmetric QES partner to the Khare-Mandal potential with real eigenvalues. Zbl 0972.81026
Bagchi, B.; Mallik, S.; Quesne, C.; Roychoudhury, R.
8
2001
Creation and annihilation operators and coherent states for the \(PT\)-symmetric oscillator. Zbl 1138.81420
Bagchi, B.; Quesne, C.
5
2001
Completeness of photon-added squeezed vacuum and one-photon states and of photon-added coherent states on a circle. Zbl 0972.81710
Quesne, C.
3
2001
\(\text{sl}(2, \mathbb C)\) as a complex Lie algebra and the associated non-Hermitian Hamiltonians with real eigenvalues. Zbl 1050.81546
Bagchi, B.; Quesne, C.
62
2000
PT-symmetric sextic potentials. Zbl 1115.81392
Bagchi, B.; Cannata, F.; Quesne, C.
27
2000
Spectrum generating algebra of the \(C_{\lambda}\)-extended oscillator and multiphoton coherent states. Zbl 1115.81360
Quesne, C.
10
2000
\(C_ \lambda\)-extended oscillator algebras and some of their deformations and applications to quantum mechanics. Zbl 1035.81516
Quesne, C.; Vansteenkiste, N.
10
2000
Connection between type A and E factorizations and construction of satellite algebras. Zbl 0954.81025
Del Sol Mesa, A.; Quesne, C.
5
2000
Comment: “Application of nonlinear deformation algebra to a physical system with Pöschl-Teller potential” by J.-L. Chen, Y. Liu and M.-L. Ge. Zbl 1042.81548
Quesne, C.
6
1999
Algebraic realization of supersymmetric quantum mechanics for cyclic shape invariant potentials. Zbl 0930.34064
Quesne, Christiane; Vansteenkiste, Nicolas
5
1999
Covariant \((hh')\)-deformed bosonic and fermionic algebras as contraction limits of \(q\)-deformed ones. Zbl 0974.81027
Quesne, C.
3
1999
On Jordanian \(\text{U}_{h\alpha}\)(gl(2)) algebra and its \(T\) matrices via a contraction method. Zbl 0934.17004
Chakrabarti, R.; Quesne, C.
3
1999
Interpretation and extension of Green’s ansatz for paraparticles. Zbl 0955.81023
Quesne, C.
1
1999
\(C_ \lambda\)-extended harmonic oscillator and (para)supersymmetric quantum mechanics. Zbl 1044.81579
Quesne, C.; Vansteenkiste, N.
19
1998
Generalized Morse potential: symmetry and satellite potentials. Zbl 0956.81009
Del Sol Mesa, A.; Quesne, C.; Smirnov, Yu. F.
16
1998
Duals of colored quantum universal enveloping algebras and colored universal \({\mathcal I}\)-matrices. Zbl 0906.17007
Quesne, C.
2
1998
Coloured Hopf algebras. Zbl 0929.17018
Quesne, C.
2
1998
Nonstandard \(GL_h(n)\) quantum groups and contraction of covariant \(q\)-bosonic algebras. Zbl 0948.81020
Quesne, C.
1
1998
A nonlinear deformed su(2) algebra with a two-color quasitriangular Hopf structure. Zbl 0872.17012
Bonatsos, D.; Daskaloyannis, C.; Kolokotronis, P.; Ludu, A.; Quesne, C.
9
1997
Colored quantum universal enveloping algebras. Zbl 0889.17003
Quesne, C.
5
1997
Zero-energy states for a class of quasi-exactly solvable rational potentials. Zbl 1052.81513
Bagchi, B.; Quesne, C.
5
1997
...and 47 more Documents
all top 5

Cited by 1,169 Authors

74 Quesne, Christiane
36 Marquette, Ian
31 Bagchi, Bijan Kumar
25 Sever, Ramazan
19 Khare, Avinash
18 Hassanabadi, Hassan
17 Mustafa, Omar
15 Chung, Won-Sang
15 Schulze-Halberg, Axel
15 Znojil, Miloslav
14 Mandal, Bhabani Prasad
13 Dong, Shihai
13 Durán, Antonio José
13 Lévai, Géza
13 Milson, Robert
13 Odake, Satoru
13 Yadav, Rajesh Kumar
12 Fakhri, Hossein
12 Gómez-Ullate, David
12 Hounkonnou, Mahouton Norbert
12 Moshinsky, Marcos
12 Rowe, David J.
11 Grandati, Yves
11 Hussin, Véronique
11 Prasad, Akhilesh
11 Roy, Barnana
11 Sasaki, Ryu
11 Shah, Firdous Ahmad
11 Wolf, Kurt Bernardo
11 Yeşiltaş, Özlem
10 Chargui, Yassine
10 Jia, Chunsheng
10 Rañada, Manuel F.
10 Tkachuk, Volodymyr M.
10 Zhang, Yaozhong
9 Ahmed, Zafar
9 Ikhdair, Sameer M.
9 Roy, Pinaki
9 Zhang, Mincang
8 Gangopadhyaya, Asim
8 Ioffe, Mikhail V.
8 Kumari, Nisha
8 Negro, Javier
8 Roychoudhury, Rajkumar
8 Ruan, Dong
8 Winternitz, Pavel
7 Ballesteros, Angel
7 Bougie, Jonathan
7 Cannata, Francesco
7 Herranz, Francisco José
7 Long, Zhengwen
7 Mazharimousavi, S. Habib
7 Mostafazadeh, Ali
7 Nishnianidze, D. N.
7 Rasinariu, Constantin
7 Sun, Guohua
7 Zelaya, Kevin
6 Aktaş, Metin
6 Berceanu, Stefan
6 Cariñena, José F.
6 Fernández C., David J.
6 Fring, Andreas
6 Kou, Kit-Ian
6 Oikonomou, Vasilis K.
6 Plyushchay, Mikhail S.
6 Rajabi, Ali Akbar
6 Sayyah-Fard, M.
6 Tantary, Azhar Y.
6 Tezcan, Cevdet
6 Vinet, Luc
5 Boumali, Abdelmalek
5 Chen, Changyuan
5 Granados, Victor D.
5 Jing, Jian
5 Kuru, Şengül
5 Latini, Danilo
5 Moayedi, S. K.
5 Mota, Roberto D.
5 Nathan, Joseph Amal
5 Nikitin, Anatoly Glebovich
5 Ragnisco, Orlando
5 Repka, Joe
5 Riglioni, Danilo
5 Rosas-Ortiz, Oscar
5 Ruffing, Andreas
5 Santander, Mariano
5 Zarrinkamar, Saber
4 Alhaidari, Abdulaziz D.
4 Bhat, Mohammad Younus
4 Bouaziz, Djamil
4 Campoamor-Stursberg, Rutwig
4 Chai, Yi
4 Contreras-Astorga, Alonso
4 Cooper, Fred
4 Cruz y Cruz, Sara
4 Daoud, Mohammed
4 Dawson, John F.
4 De Meyer, Hans E.
4 Dey, Sanjib
4 Enciso, Alberto
...and 1,069 more Authors
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Cited in 132 Serials

250 Journal of Mathematical Physics
123 Physics Letters. A
95 Annals of Physics
72 Journal of Physics A: Mathematical and Theoretical
65 International Journal of Theoretical Physics
50 Modern Physics Letters A
37 International Journal of Modern Physics A
25 Advances in High Energy Physics
22 Journal of Mathematical Chemistry
18 International Journal of Geometric Methods in Modern Physics
12 Journal of Mathematical Analysis and Applications
12 Theoretical and Mathematical Physics
11 Journal of Approximation Theory
10 Physics Letters. B
10 Czechoslovak Journal of Physics
10 Journal of Pseudo-Differential Operators and Applications
9 Mathematical Methods in the Applied Sciences
9 Circuits, Systems, and Signal Processing
8 General Relativity and Gravitation
8 Nuclear Physics. B
8 Physica A
7 Advances in Applied Clifford Algebras
7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
6 Integral Transforms and Special Functions
6 International Journal of Wavelets, Multiresolution and Information Processing
6 Communications in Theoretical Physics
5 European Journal of Physics
5 Reports on Mathematical Physics
5 Physica D
5 Journal of High Energy Physics
5 Foundations of Physics
4 Modern Physics Letters B
4 Reviews in Mathematical Physics
4 Journal of Geometry and Physics
3 Classical and Quantum Gravity
3 Letters in Mathematical Physics
3 Applied Mathematics and Computation
3 Journal of Algebra
3 Studies in Applied Mathematics
3 Signal Processing
3 International Journal of Modern Physics D
3 Filomat
3 Journal of Difference Equations and Applications
3 Abstract and Applied Analysis
3 International Journal of Modern Physics C
3 Advances in Difference Equations
3 Advances in Mathematical Physics
3 Physical Review A, Third Series
3 International Journal of Applied and Computational Mathematics
2 International Journal of Modern Physics B
2 Communications in Mathematical Physics
2 Computer Physics Communications
2 Journal of Statistical Physics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Chaos, Solitons and Fractals
2 Fortschritte der Physik
2 Advances in Mathematics
2 Acta Applicandae Mathematicae
2 Applied Mathematics Letters
2 Numerical Algorithms
2 Applied and Computational Harmonic Analysis
2 Georgian Mathematical Journal
2 Physical Review Letters
2 Journal of Modern Optics
2 Quantum Information Processing
2 Chinese Journal of Physics (Taipei)
2 Asian-European Journal of Mathematics
2 Annalen der Physik
2 ISRN Mathematical Physics
2 Journal of Mathematics
1 Analysis Mathematica
1 Applicable Analysis
1 Communications in Algebra
1 International Journal of Mathematical Education in Science and Technology
1 Journal of Engineering Mathematics
1 Journal of the Franklin Institute
1 Physics Reports
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Computational and Applied Mathematics
1 Journal of Differential Equations
1 Journal of Pure and Applied Algebra
1 Numerical Functional Analysis and Optimization
1 Proceedings of the American Mathematical Society
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Results in Mathematics
1 Constructive Approximation
1 Numerical Methods for Partial Differential Equations
1 Multidimensional Systems and Signal Processing
1 Applied Mathematical Modelling
1 Celestial Mechanics and Dynamical Astronomy
1 Indagationes Mathematicae. New Series
1 SUT Journal of Mathematics
1 Algebra Colloquium
1 Journal of Mathematical Sciences (New York)
1 Computational and Applied Mathematics
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 The Journal of Fourier Analysis and Applications
1 Mathematical Problems in Engineering
1 Representation Theory
1 Chaos
...and 32 more Serials
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Cited in 53 Fields

850 Quantum theory (81-XX)
159 Special functions (33-XX)
126 Partial differential equations (35-XX)
117 Harmonic analysis on Euclidean spaces (42-XX)
113 Nonassociative rings and algebras (17-XX)
90 Topological groups, Lie groups (22-XX)
84 Ordinary differential equations (34-XX)
79 Mechanics of particles and systems (70-XX)
57 Dynamical systems and ergodic theory (37-XX)
53 Statistical mechanics, structure of matter (82-XX)
52 Relativity and gravitational theory (83-XX)
51 Information and communication theory, circuits (94-XX)
42 Integral transforms, operational calculus (44-XX)
35 Functional analysis (46-XX)
28 Operator theory (47-XX)
28 Numerical analysis (65-XX)
26 Differential geometry (53-XX)
24 Optics, electromagnetic theory (78-XX)
23 Group theory and generalizations (20-XX)
14 Algebraic geometry (14-XX)
14 Associative rings and algebras (16-XX)
14 Functions of a complex variable (30-XX)
14 Global analysis, analysis on manifolds (58-XX)
13 Linear and multilinear algebra; matrix theory (15-XX)
12 Abstract harmonic analysis (43-XX)
11 Real functions (26-XX)
10 Number theory (11-XX)
10 Difference and functional equations (39-XX)
9 Combinatorics (05-XX)
9 Approximations and expansions (41-XX)
9 Statistics (62-XX)
6 Several complex variables and analytic spaces (32-XX)
5 Classical thermodynamics, heat transfer (80-XX)
5 Systems theory; control (93-XX)
4 Integral equations (45-XX)
4 Geometry (51-XX)
3 Potential theory (31-XX)
3 Algebraic topology (55-XX)
3 Probability theory and stochastic processes (60-XX)
3 Computer science (68-XX)
3 Biology and other natural sciences (92-XX)
2 General algebraic systems (08-XX)
2 Commutative algebra (13-XX)
2 Manifolds and cell complexes (57-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Field theory and polynomials (12-XX)
1 Category theory; homological algebra (18-XX)
1 Measure and integration (28-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 General topology (54-XX)
1 Fluid mechanics (76-XX)

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