Edit Profile (opens in new tab) Quesne, Christiane Compute Distance To: Compute Author ID: quesne.christiane Published as: Quesne, C.; Quesne, Christiane Homepage: https://www.ulb.ac.be/rech/inventaire/chercheurs/6/CH1116.html External Links: Wikidata Documents Indexed: 177 Publications since 1970 1 Further Contribution Co-Authors: 33 Co-Authors with 90 Joint Publications 388 Co-Co-Authors all top 5 Co-Authors 86 single-authored 29 Bagchi, Bijan Kumar 12 Tkachuk, Volodymyr M. 10 Moshinsky, Marcos 10 Vansteenkiste, Nicolas 9 Marquette, Ian 5 Deenen, J. 5 Roychoudhury, Rajkumar 5 Znojil, Miloslav 4 Banerjee, Abhijit 4 Irac-Astaud, Michèle 3 Bíla, Hynek 3 Del Sol Mesa, Antonio 3 Grandati, Yves 3 Jakubský, Vít 3 Smirnov, Yu. F. 2 Bonatsos, Dennis 2 Cannata, Francesco 2 Daskaloyannis, Costas 2 Delbecq, C. 2 Gorain, P. S. 2 Kolokotronis, P. 2 Liu, Xiaoming 2 Ludu, Andrei 2 Penson, Karol A. 1 Beckers, Jules 1 Caliceti, Emanuela 1 Castaños, Octavio 1 Couvreur, G. 1 Debergh, Nathalie 1 Englefield, M. J. 1 Geyer, Hendrik B. 1 Gruber, Bruno J. 1 Kalnins, Ernest G. 1 Kramer, Peter 1 Loebl, Ernest M. 1 Loyola, Gino 1 Matsen, Frederick A. IV 1 McIntosh, Harold Varner 1 Partensky, A. 1 Patera, Jiří 1 Samuel, M. T. 1 Schigman, T. H. 1 Sharp, Robert T. 1 Winternitz, Pavel 1 Wolf, Kurt Bernardo all top 5 Serials 49 Journal of Physics A: Mathematical and General 31 Journal of Mathematical Physics 16 Physics Letters. A 14 Modern Physics Letters A 12 Journal of Physics A: Mathematical and Theoretical 9 International Journal of Modern Physics A 9 Czechoslovak Journal of Physics 9 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 7 Annals of Physics 3 Helvetica Physica Acta 3 International Journal of Theoretical Physics 2 Bulgarian Journal of Physics 1 Letters in Mathematical Physics 1 Reports on Mathematical Physics 1 Bulletin de la Classe des Sciences. 6e Série all top 5 Fields 161 Quantum theory (81-XX) 47 Nonassociative rings and algebras (17-XX) 38 Topological groups, Lie groups (22-XX) 13 Special functions (33-XX) 9 Associative rings and algebras (16-XX) 9 Ordinary differential equations (34-XX) 9 Partial differential equations (35-XX) 6 Group theory and generalizations (20-XX) 6 Mechanics of particles and systems (70-XX) 5 Operator theory (47-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Differential geometry (53-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Potential theory (31-XX) 1 Statistics (62-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 132 Publications have been cited 1,440 times in 798 Documents Cited by ▼ Year ▼ Linear canonical transformations and their unitary representations. Zbl 0247.20051Moshinsky, M.; Quesne, C. 134 1971 Exceptional orthogonal polynomials, exactly solvable potentials and supersymmetry. Zbl 1192.81174Quesne, C. 77 2008 \(\text{sl}(2, \mathbb C)\) as a complex Lie algebra and the associated non-Hermitian Hamiltonians with real eigenvalues. Zbl 1050.81546Bagchi, B.; Quesne, C. 55 2000 Deformed algebras, position-dependent effective masses and curved spaces: an exactly solvable Coulomb problem. Zbl 1063.81070Quesne, C.; Tkachuk, V. M. 53 2004 A new ring-shaped potential and its dynamical invariance algebra. Zbl 0695.35190Quesne, C. 39 1988 Solvable rational potentials and exceptional orthogonal polynomials in supersymmetric quantum mechanics. Zbl 1188.81071Quesne, Christiane 36 2009 Deformed shape invariance and exactly solvable Hamiltonians with position-dependent effective mass. Zbl 1084.81072Bagchi, B.; Banerjee, A.; Quesne, C.; Tkachuk, V. M. 35 2005 Coherent states of the real symplectic group in a complex analytic parametrization. I: Unitary-operator coherent states. Zbl 0593.22020Quesne, C. 33 1986 Non-Hermitian Hamiltonians with real and complex eigenvalues in a Lie-algebraic framework. Zbl 0997.81036Bagchi, B.; Quesne, C. 32 2002 Dirac oscillator with nonzero minimal uncertainty in position. Zbl 1061.81023Quesne, C.; Tkachuk, V. M. 31 2005 A general scheme for the effective-mass Schrödinger equation and the generation of the associated potentials. Zbl 1065.81039Bagchi, B.; Gorain, P.; Quesne, C.; Roychoudhury, R. 30 2004 First-order intertwining operators and position-dependent mass Schrödinger equations in \(d\) dimensions. Zbl 1092.81016Quesne, C. 28 2006 Nonvariance groups in the second-quantization picture and their applications. Zbl 0194.29501Moshinsky, M.; Quesne, C. 25 1970 New \(q\)-deformed coherent states with an explicitly known resolution of unity. Zbl 1044.81064Quesne, C. 24 2002 Lorentz-covariant deformed algebra with minimal length and application to the \((1 + 1)\)-dimensional Dirac oscillator. Zbl 1168.81014Quesne, C.; Tkachuk, V. M. 24 2006 Higher-order SUSY, exactly solvable potentials, and exceptional orthogonal polynomials. Zbl 1274.81113Quesne, C. 22 2011 Boson representations of the real symplectic group and their applications to the nuclear collective model. Zbl 0594.22012Deenen, J.; Quesne, C. 20 1985 Symmetry Lie algebra of the Dirac oscillator. Zbl 0725.35083Quesne, C.; Moshinsky, M. 19 1990 New families of superintegrable systems from Hermite and Laguerre exceptional orthogonal polynomials. Zbl 1282.70036Marquette, Ian; Quesne, Christiane 18 2013 Rationally-extended radial oscillators and Laguerre exceptional orthogonal polynomials in \(k\)th-order SUSYQM. Zbl 1247.81155Quesne, C. 18 2011 Harmonic oscillator with nonzero minimal uncertainties in both position and momentum in a SUSYQM framework. Zbl 1057.81036Quesne, C.; Tkachuk, V. M. 17 2003 Disconjugacy, regularity of multi-indexed rationally extended potentials, and Laguerre exceptional polynomials. Zbl 1284.81128Grandati, Y.; Quesne, C. 17 2013 PT-symmetric sextic potentials. Zbl 1115.81392Bagchi, B.; Cannata, F.; Quesne, C. 17 2000 Generalized continuity equation and modified normalization in \(PT\)-symmetric quantum mechanics. Zbl 1138.81375Bagchi, B.; Quesne, C.; Znojil, M. 17 2001 More on a SUSYQM approach to the harmonic oscillator with nonzero minimal uncertainties in position and/or momentum. Zbl 1064.81059Quesne, C.; Tkachuk, V. M. 16 2004 Revisiting (quasi-)exactly solvable rational extensions of the Morse potential. Zbl 1247.81156Quesne, C. 16 2012 Generating complex potentials with real eigenvalues in supersymmetric quantum mechanics. Zbl 1018.81020Bagchi, B.; Mallik, S.; Quesne, C. 15 2001 Novel enlarged shape invariance property and exactly solvable rational extensions of the Rosen-Morse II and Eckart potentials. Zbl 1269.81044Quesne, Christiane 15 2012 Pseudo-Hermiticity and some consequences of a generalized quantum condition. Zbl 1081.81037Bagchi, B.; Quesne, C.; Roychoudhury, R. 14 2005 Maths-type \(q\)-deformed coherent states for \(q>1\). Zbl 1037.81051Quesne, C.; Penson, K. A.; Tkachuk, V. M. 14 2003 New ladder operators for a rational extension of the harmonic oscillator and superintegrability of some two-dimensional systems. Zbl 1284.81147Marquette, Ian; Quesne, Christiane 14 2013 Two-step rational extensions of the harmonic oscillator: exceptional orthogonal polynomials and ladder operators. Zbl 1267.81174Marquette, I.; Quesne, C. 14 2013 Pseudo-Hermiticity, weak pseudo-Hermiticity and \(\eta \)-orthogonality condition. Zbl 0997.81027Bagchi, B.; Quesne, C. 13 2002 Lorentz-covariant deformed algebra with minimal length. Zbl 1109.81045Quesne, C.; Tkachuk, V. M. 13 2006 Generalized Morse potential: symmetry and satellite potentials. Zbl 0956.81009Del Sol Mesa, A.; Quesne, C.; Smirnov, Yu. F. 12 1998 Combined state-adding and state-deleting approaches to type III multi-step rationally extended potentials: applications to ladder operators and superintegrability. Zbl 1332.81058Marquette, Ian; Quesne, Christiane 12 2014 Generalized deformed parafermions, nonlinear deformations of \(\text{so}(3)\) and exactly solvable potentials. Zbl 0959.81552Quesne, C. 12 1994 \(C_ \lambda\)-extended harmonic oscillator and (para)supersymmetric quantum mechanics. Zbl 1044.81579Quesne, C.; Vansteenkiste, N. 12 1998 Canonical transformations and matrix elements. Zbl 0247.20052Quesne, C.; Moshinsky, M. 11 1971 Disentangling \(q\)-exponentials: a general approach. Zbl 1057.81042Quesne, C. 11 2004 Nonlinear deformations of su(2) and su(1,1) generalizing Witten’s algebra. Zbl 0773.17011Delbecq, C.; Quesne, C. 11 1993 Morse potential and its relationship with the Coulomb in a position-dependent mass background. Zbl 1115.81331Bagchi, B.; Gorain, P. S.; Quesne, C. 11 2006 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 1375.81100Marquette, Ian; Quesne, Christiane 11 2016 A cubic deformation of \(\text{su}(2)\). Zbl 1021.81568Delbecq, C.; Quesne, C. 10 1993 Superintegrability of the Tremblay-Turbiner-Winternitz quantum Hamiltonians on a plane for odd \(k\). Zbl 1185.81090Quesne, C. 10 2010 Complexified PSUSY and SSUSY interpretations of some PT-symmetric Hamiltonians possessing two series of real energy eigenvalues. Zbl 1022.81016Bagchi, B.; Mallik, S.; Quesne, C. 9 2002 PT symmetric square well and the associated SUSY hierarchies. Zbl 1083.81522Bagchi, B.; Mallik, S.; Quesne, C. 9 2002 A nonlinear deformed su(2) algebra with a two-color quasitriangular Hopf structure. Zbl 0872.17012Bonatsos, D.; Daskaloyannis, C.; Kolokotronis, P.; Ludu, A.; Quesne, C. 9 1997 Point canonical transformation versus deformed shape invariance for position-dependent mass Schrödinger equations. Zbl 1160.81377Quesne, Christiane 9 2009 Pseudo-Hermitian versus Hermitian position-dependent-mass Hamiltonians in a perturbative framework. Zbl 1091.81022Bagchi, B.; Quesne, C.; Roychoudhury, R. 9 2006 Confluent chains of DBT: enlarged shape invariance and new orthogonal polynomials. Zbl 1326.81063Grandati, Yves; Quesne, Christiane 8 2015 A PT-symmetric QES partner to the Khare-Mandal potential with real eigenvalues. Zbl 0972.81026Bagchi, B.; Mallik, S.; Quesne, C.; Roychoudhury, R. 8 2001 Even and odd \(q\)-deformed charge coherent states and their nonclassical properties. Zbl 1056.81038Liu, X.-M.; Quesne, C. 8 2003 On some nonlinear extensions of the angular momentum algebra. Zbl 0851.17031Quesne, C. 8 1995 Supersymmetry and the Dirac oscillator. Zbl 0738.58059Quesne, C. 8 1991 Dynamical potential algebras for Gendenshtein and Morse potentials. Zbl 0752.22015Englefield, M. J.; Quesne, C. 8 1991 Boson realization of \({\mathfrak sp}(4)\). I: The matrix formulation. Zbl 0575.22022Castaños, O.; Chacón, E.; Moshinsky, M.; Quesne, C. 8 1985 Fractional supersymmetric quantum mechanics, topological invariants and generalized deformed oscillator algebras. Zbl 1076.81515Quesne, C. 7 2003 Extending Romanovski polynomials in quantum mechanics. Zbl 1285.81020Quesne, C. 7 2013 Vector coherent state theory of the semidirect sum Lie algebras wsp(2N,\({\mathbb{R}})\). Zbl 0715.22026Quesne, C. 7 1990 Quadratic algebra approach to an exactly solvable position-dependent mass Schrödinger equation in two dimensions. Zbl 1193.81047Quesne, Christiane 7 2007 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 1042.81548Quesne, C. 6 1999 Sum rules for the matrices of the generators of SU(3) in an SO(3) basis. Zbl 0427.22018Partensky, A.; Quesne, C. 6 1979 Rational extensions of the trigonometric Darboux-Pöschl-Teller potential based on para-Jacobi polynomials. Zbl 1317.81135Bagchi, B.; Grandati, Y.; Quesne, C. 6 2015 Generalized coherent states associated with the \(C_ \lambda\)-extended oscillator. Zbl 1033.81047Quesne, C. 6 2001 Complementarity of \(su_ q(3)\) and \(u_ q(2)\) and \(q\)-boson realization of the \(su_ q(3)\) irreducible representations. Zbl 0772.17005Quesne, C. 6 1992 Raising and lowering operators for \(u_ q(n)\). Zbl 0784.17025Quesne, C. 6 1993 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 0748.22010Quesne, C. 6 1991 \({\mathcal N}=2\) supersymmetric extension of the Tremblay-Turbiner-Winternitz Hamiltonians on a plane. Zbl 1194.81113Quesne, C. 6 2010 An update on the \({\mathcal {PT}}\)-symmetric complexified Scarf II potential, spectral singularities and some remarks on the rationally extended supersymmetric partners. Zbl 1194.81083Bagchi, B.; Quesne, C. 6 2010 \(C_ \lambda\)-extended oscillator algebras and some of their deformations and applications to quantum mechanics. Zbl 1035.81516Quesne, C.; Vansteenkiste, N. 6 2000 Generalized nonlinear oscillators with quasi-harmonic behaviour: classical solutions. Zbl 1305.70040Quesne, C. 6 2015 Canonical solution of the state labelling problem for SU(n)\(\supset SO(n)\) and Littlewood’s branching rule: II. Use of modification rules. Zbl 0577.22018Quesne, C. 6 1984 A non-Hermitian oscillator Hamiltonian and \(\text{su}(1,1)\): a way towards generalizations. Zbl 1120.81037Quesne, C. 6 2007 An update on the classical and quantum harmonic oscillators on the sphere and the hyperbolic plane in polar coordinates. Zbl 1323.34048Quesne, C. 5 2015 Zero-energy states for a class of quasi-exactly solvable rational potentials. Zbl 1052.81513Bagchi, B.; Quesne, C. 5 1997 Supersymmetry and superalgbra for the two-body system with a Dirac oscillator interaction. Zbl 0900.70153Moshinsky, M.; Quesne, C.; Smirnov, Yu. F. 5 1995 Spectrum generating algebra of the \(C_{\lambda}\)-extended oscillator and multiphoton coherent states. Zbl 1115.81360Quesne, C. 5 2000 Colored quantum universal enveloping algebras. Zbl 0889.17003Quesne, C. 5 1997 Connection between type A and E factorizations and construction of satellite algebras. Zbl 0954.81025Del Sol Mesa, A.; Quesne, C. 5 2000 Quasi-Hermitian supersymmetric extensions of a non-Hermitian oscillator Hamiltonian and of its generalizations. Zbl 1140.81391Quesne, C. 5 2008 Determination of the Sp(2d,R) generator matrix elements through a boson mapping. Zbl 0544.22014Deenen, J.; Quesne, C. 5 1984 Canonical solution of the state labelling problem for SU(n)\(\supset SO(n)\) and Littlewood’s branching rule: I. General formulation. Zbl 0577.22017Deenen, J.; Quesne, C. 5 1983 Spectrum generating algebras for position-dependent mass oscillator Schrödinger equations. Zbl 1127.81008Quesne, C. 4 2007 A complex periodic QES potential and exceptional points. Zbl 1132.81015Bagchi, B.; Quesne, C.; Roychoudhury, R. 4 2008 Generalized deformed commutation relations with nonzero minimal uncertainties in position and/or momentum and applications to quantum mechanics. Zbl 1136.81023Quesne, Christiane; Tkachuk, Volodymyr M. 4 2007 On Jordanian \(\text{U}_{h\alpha}\)(gl(2)) algebra and its \(T\) matrices via a contraction method. Zbl 0934.17004Chakrabarti, R.; Quesne, C. 3 1999 Covariant \((hh')\)-deformed bosonic and fermionic algebras as contraction limits of \(q\)-deformed ones. Zbl 0974.81027Quesne, C. 3 1999 Connection between type B (or C) and F factorizations and construction of algebras. Zbl 1041.81014Del Sol Mesa, A.; Quesne, C. 3 2002 PT-symmetric nonpolynomial oscillators and hyperbolic potential with two known real eigenvalues in a SUSY framework. Zbl 1083.81600Bagchi, B.; Quesne, C. 3 2002 Art or science: The determination of the symmetry Lie algebra for a Hamiltonian with accidental degeneracy. Zbl 0875.22002Moshinsky, M.; Quesne, C.; Loyola, G. 3 1990 Casimir operators of semidirect sum Lie algebras. Zbl 0664.17005Quesne, C. 3 1988 Quantum oscillator and Kepler-Coulomb problems in curved spaces: deformed shape invariance, point canonical transformations, and rational extensions. Zbl 1349.81102Quesne, C. 3 2016 Hamiltonians with position-dependent mass, deformations and supersymmetry. Zbl 1121.81118Quesne, C.; Bagchi, B.; Banerjee, A.; Tkachuk, V. M. 3 2006 \({\mathcal{PT}}\)-symmetric supersymmetry in a solvable short-range model. Zbl 1095.81028Bagchi, B.; Mallik, S.; Bíla, H.; Jakubský, V.; Znojil, M.; Quesne, C. 3 2006 Creation and annihilation operators and coherent states for the \(PT\)-symmetric oscillator. Zbl 1138.81420Bagchi, B.; Quesne, C. 3 2001 Does accidental degeneracy imply a symmetry group? Zbl 0562.70013Moshinsky, M.; Quesne, C. 3 1983 Boson realization of the unitary symplectic group. Zbl 0254.22013Quesne, C. 2 1973 The Dirac oscillator from theory to experiment. Zbl 1360.81159Quesne, C. 2 2017 Deformed oscillator algebra approach of some quantum superintegrable Lissajous systems on the sphere and of their rational extensions. Zbl 1322.81054Marquette, Ian; Quesne, Christiane 2 2015 Ladder operators and hidden algebras for shape invariant nonseparable and nondiagonalizable models with quadratic complex interaction. I: two-dimensional model. Zbl 1484.81030Marquette, Ian; Quesne, Christiane 1 2022 Infinite families of position-dependent mass Schrödinger equations with known ground and first excited states. Zbl 1404.81127Quesne, C. 1 2018 The Dirac oscillator from theory to experiment. Zbl 1360.81159Quesne, C. 2 2017 Families of quasi-exactly solvable extensions of the quantum oscillator in curved spaces. Zbl 1364.81131Quesne, C. 1 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 1375.81100Marquette, Ian; Quesne, Christiane 11 2016 Quantum oscillator and Kepler-Coulomb problems in curved spaces: deformed shape invariance, point canonical transformations, and rational extensions. Zbl 1349.81102Quesne, C. 3 2016 Confluent chains of DBT: enlarged shape invariance and new orthogonal polynomials. Zbl 1326.81063Grandati, Yves; Quesne, Christiane 8 2015 Rational extensions of the trigonometric Darboux-Pöschl-Teller potential based on para-Jacobi polynomials. Zbl 1317.81135Bagchi, B.; Grandati, Y.; Quesne, C. 6 2015 Generalized nonlinear oscillators with quasi-harmonic behaviour: classical solutions. Zbl 1305.70040Quesne, C. 6 2015 An update on the classical and quantum harmonic oscillators on the sphere and the hyperbolic plane in polar coordinates. Zbl 1323.34048Quesne, C. 5 2015 Deformed oscillator algebra approach of some quantum superintegrable Lissajous systems on the sphere and of their rational extensions. Zbl 1322.81054Marquette, Ian; Quesne, Christiane 2 2015 Combined state-adding and state-deleting approaches to type III multi-step rationally extended potentials: applications to ladder operators and superintegrability. Zbl 1332.81058Marquette, Ian; Quesne, Christiane 12 2014 New families of superintegrable systems from Hermite and Laguerre exceptional orthogonal polynomials. Zbl 1282.70036Marquette, Ian; Quesne, Christiane 18 2013 Disconjugacy, regularity of multi-indexed rationally extended potentials, and Laguerre exceptional polynomials. Zbl 1284.81128Grandati, Y.; Quesne, C. 17 2013 New ladder operators for a rational extension of the harmonic oscillator and superintegrability of some two-dimensional systems. Zbl 1284.81147Marquette, Ian; Quesne, Christiane 14 2013 Two-step rational extensions of the harmonic oscillator: exceptional orthogonal polynomials and ladder operators. Zbl 1267.81174Marquette, I.; Quesne, C. 14 2013 Extending Romanovski polynomials in quantum mechanics. Zbl 1285.81020Quesne, C. 7 2013 Revisiting (quasi-)exactly solvable rational extensions of the Morse potential. Zbl 1247.81156Quesne, C. 16 2012 Novel enlarged shape invariance property and exactly solvable rational extensions of the Rosen-Morse II and Eckart potentials. Zbl 1269.81044Quesne, Christiane 15 2012 Higher-order SUSY, exactly solvable potentials, and exceptional orthogonal polynomials. Zbl 1274.81113Quesne, C. 22 2011 Rationally-extended radial oscillators and Laguerre exceptional orthogonal polynomials in \(k\)th-order SUSYQM. Zbl 1247.81155Quesne, C. 18 2011 Comment on ‘Supersymmetry, PT-symmetry and spectral bifurcation’. Zbl 1208.81106Bagchi, B.; Quesne, C. 2 2011 Revisiting the symmetries of the quantum Smorodinsky-Winternitz system in \(D\) dimensions. Zbl 1217.81066Quesne, Christiane 2 2011 Superintegrability of the Tremblay-Turbiner-Winternitz quantum Hamiltonians on a plane for odd \(k\). Zbl 1185.81090Quesne, C. 10 2010 \({\mathcal N}=2\) supersymmetric extension of the Tremblay-Turbiner-Winternitz Hamiltonians on a plane. Zbl 1194.81113Quesne, C. 6 2010 An update on the \({\mathcal {PT}}\)-symmetric complexified Scarf II potential, spectral singularities and some remarks on the rationally extended supersymmetric partners. Zbl 1194.81083Bagchi, B.; Quesne, C. 6 2010 Comments on dihedral and supersymmetric extensions of a family of Hamiltonians on a plane. Zbl 1194.81114Quesne, C. 2 2010 Exchange operator formalism for an infinite family of solvable and integrable quantum systems on a plane. Zbl 1184.81072Quesne, C. 1 2010 Chiral super-Tremblay-Turbiner-Winternitz Hamiltonians and their dynamical superalgebra. Zbl 1204.81083Quesne, C. 1 2010 Solvable rational potentials and exceptional orthogonal polynomials in supersymmetric quantum mechanics. Zbl 1188.81071Quesne, Christiane 36 2009 Point canonical transformation versus deformed shape invariance for position-dependent mass Schrödinger equations. Zbl 1160.81377Quesne, Christiane 9 2009 Exceptional orthogonal polynomials, exactly solvable potentials and supersymmetry. Zbl 1192.81174Quesne, C. 77 2008 Quasi-Hermitian supersymmetric extensions of a non-Hermitian oscillator Hamiltonian and of its generalizations. Zbl 1140.81391Quesne, C. 5 2008 A complex periodic QES potential and exceptional points. Zbl 1132.81015Bagchi, B.; Quesne, C.; Roychoudhury, R. 4 2008 Oscillator-Morse-Coulomb mappings and algebras for constant or position-dependent mass. Zbl 1153.81422Quesne, C. 1 2008 Quadratic algebra approach to an exactly solvable position-dependent mass Schrödinger equation in two dimensions. Zbl 1193.81047Quesne, Christiane 7 2007 A non-Hermitian oscillator Hamiltonian and \(\text{su}(1,1)\): a way towards generalizations. Zbl 1120.81037Quesne, C. 6 2007 Spectrum generating algebras for position-dependent mass oscillator Schrödinger equations. Zbl 1127.81008Quesne, C. 4 2007 Generalized deformed commutation relations with nonzero minimal uncertainties in position and/or momentum and applications to quantum mechanics. Zbl 1136.81023Quesne, Christiane; Tkachuk, Volodymyr M. 4 2007 First-order intertwining operators and position-dependent mass Schrödinger equations in \(d\) dimensions. Zbl 1092.81016Quesne, C. 28 2006 Lorentz-covariant deformed algebra with minimal length and application to the \((1 + 1)\)-dimensional Dirac oscillator. Zbl 1168.81014Quesne, C.; Tkachuk, V. M. 24 2006 Lorentz-covariant deformed algebra with minimal length. Zbl 1109.81045Quesne, C.; Tkachuk, V. M. 13 2006 Morse potential and its relationship with the Coulomb in a position-dependent mass background. Zbl 1115.81331Bagchi, B.; Gorain, P. S.; Quesne, C. 11 2006 Pseudo-Hermitian versus Hermitian position-dependent-mass Hamiltonians in a perturbative framework. Zbl 1091.81022Bagchi, B.; Quesne, C.; Roychoudhury, R. 9 2006 Hamiltonians with position-dependent mass, deformations and supersymmetry. Zbl 1121.81118Quesne, C.; Bagchi, B.; Banerjee, A.; Tkachuk, V. M. 3 2006 \({\mathcal{PT}}\)-symmetric supersymmetry in a solvable short-range model. Zbl 1095.81028Bagchi, B.; Mallik, S.; Bíla, H.; Jakubský, V.; Znojil, M.; Quesne, C. 3 2006 Deformed shape invariance and exactly solvable Hamiltonians with position-dependent effective mass. Zbl 1084.81072Bagchi, B.; Banerjee, A.; Quesne, C.; Tkachuk, V. M. 35 2005 Dirac oscillator with nonzero minimal uncertainty in position. Zbl 1061.81023Quesne, C.; Tkachuk, V. M. 31 2005 Pseudo-Hermiticity and some consequences of a generalized quantum condition. Zbl 1081.81037Bagchi, B.; Quesne, C.; Roychoudhury, R. 14 2005 \({\mathcal{CPT}}\)-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators \({\mathcal C}\). Zbl 1091.81023Bagchi, Bijan; Banerjee, A.; Caliceti, Emanuela; Cannata, Francesco; Geyer, Hendrik B.; Quesne, Christiane; Znojil, Miloslav 2 2005 \(k\)-component \(q\)-deformed charge coherent states and their nonclassical properties. Zbl 1110.81109Liu, X.-M.; Quesne, C.; Song, F. 2 2005 Deformed algebras, position-dependent effective masses and curved spaces: an exactly solvable Coulomb problem. Zbl 1063.81070Quesne, C.; Tkachuk, V. M. 53 2004 A general scheme for the effective-mass Schrödinger equation and the generation of the associated potentials. Zbl 1065.81039Bagchi, B.; Gorain, P.; Quesne, C.; Roychoudhury, R. 30 2004 More on a SUSYQM approach to the harmonic oscillator with nonzero minimal uncertainties in position and/or momentum. Zbl 1064.81059Quesne, C.; Tkachuk, V. M. 16 2004 Disentangling \(q\)-exponentials: a general approach. Zbl 1057.81042Quesne, C. 11 2004 Comment on: “Maths-type \(q\)-deformed coherent states for \(q>1\)”. Zbl 1118.81424Quesne, C.; Penson, K. A.; Tkachuk, V. M. 2 2004 Conditionally exactly solvable potential and dual transformation in quantum mechanics. Zbl 1045.81053Bagchi, B.; Quesne, C. 1 2004 Harmonic oscillator with nonzero minimal uncertainties in both position and momentum in a SUSYQM framework. Zbl 1057.81036Quesne, C.; Tkachuk, V. M. 17 2003 Maths-type \(q\)-deformed coherent states for \(q>1\). Zbl 1037.81051Quesne, C.; Penson, K. A.; Tkachuk, V. M. 14 2003 Even and odd \(q\)-deformed charge coherent states and their nonclassical properties. Zbl 1056.81038Liu, X.-M.; Quesne, C. 8 2003 Fractional supersymmetric quantum mechanics, topological invariants and generalized deformed oscillator algebras. Zbl 1076.81515Quesne, C. 7 2003 Non-Hermitian Hamiltonians with real and complex eigenvalues in a Lie-algebraic framework. Zbl 0997.81036Bagchi, B.; Quesne, C. 32 2002 New \(q\)-deformed coherent states with an explicitly known resolution of unity. Zbl 1044.81064Quesne, C. 24 2002 Pseudo-Hermiticity, weak pseudo-Hermiticity and \(\eta \)-orthogonality condition. Zbl 0997.81027Bagchi, B.; Quesne, C. 13 2002 Complexified PSUSY and SSUSY interpretations of some PT-symmetric Hamiltonians possessing two series of real energy eigenvalues. Zbl 1022.81016Bagchi, B.; Mallik, S.; Quesne, C. 9 2002 PT symmetric square well and the associated SUSY hierarchies. Zbl 1083.81522Bagchi, B.; Mallik, S.; Quesne, C. 9 2002 Connection between type B (or C) and F factorizations and construction of algebras. Zbl 1041.81014Del Sol Mesa, A.; Quesne, C. 3 2002 PT-symmetric nonpolynomial oscillators and hyperbolic potential with two known real eigenvalues in a SUSY framework. Zbl 1083.81600Bagchi, B.; Quesne, C. 3 2002 Reducibility and bosonization of parasupersymmetric and orthosupersymmetric quantum mechanics. Zbl 1083.81526Quesne, C.; Vansteenkiste, N. 2 2002 Generalized continuity equation and modified normalization in \(PT\)-symmetric quantum mechanics. Zbl 1138.81375Bagchi, B.; Quesne, C.; Znojil, M. 17 2001 Generating complex potentials with real eigenvalues in supersymmetric quantum mechanics. Zbl 1018.81020Bagchi, B.; Mallik, S.; Quesne, C. 15 2001 A PT-symmetric QES partner to the Khare-Mandal potential with real eigenvalues. Zbl 0972.81026Bagchi, B.; Mallik, S.; Quesne, C.; Roychoudhury, R. 8 2001 Generalized coherent states associated with the \(C_ \lambda\)-extended oscillator. Zbl 1033.81047Quesne, C. 6 2001 Creation and annihilation operators and coherent states for the \(PT\)-symmetric oscillator. Zbl 1138.81420Bagchi, B.; Quesne, C. 3 2001 Completeness of photon-added squeezed vacuum and one-photon states and of photon-added coherent states on a circle. Zbl 0972.81710Quesne, C. 2 2001 \(\text{sl}(2, \mathbb C)\) as a complex Lie algebra and the associated non-Hermitian Hamiltonians with real eigenvalues. Zbl 1050.81546Bagchi, B.; Quesne, C. 55 2000 PT-symmetric sextic potentials. Zbl 1115.81392Bagchi, B.; Cannata, F.; Quesne, C. 17 2000 \(C_ \lambda\)-extended oscillator algebras and some of their deformations and applications to quantum mechanics. Zbl 1035.81516Quesne, C.; Vansteenkiste, N. 6 2000 Spectrum generating algebra of the \(C_{\lambda}\)-extended oscillator and multiphoton coherent states. Zbl 1115.81360Quesne, C. 5 2000 Connection between type A and E factorizations and construction of satellite algebras. Zbl 0954.81025Del 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 1042.81548Quesne, C. 6 1999 On Jordanian \(\text{U}_{h\alpha}\)(gl(2)) algebra and its \(T\) matrices via a contraction method. Zbl 0934.17004Chakrabarti, R.; Quesne, C. 3 1999 Covariant \((hh')\)-deformed bosonic and fermionic algebras as contraction limits of \(q\)-deformed ones. Zbl 0974.81027Quesne, C. 3 1999 Interpretation and extension of Green’s ansatz for paraparticles. Zbl 0955.81023Quesne, C. 1 1999 Generalized Morse potential: symmetry and satellite potentials. Zbl 0956.81009Del Sol Mesa, A.; Quesne, C.; Smirnov, Yu. F. 12 1998 \(C_ \lambda\)-extended harmonic oscillator and (para)supersymmetric quantum mechanics. Zbl 1044.81579Quesne, C.; Vansteenkiste, N. 12 1998 Coloured Hopf algebras. Zbl 0929.17018Quesne, C. 2 1998 Duals of colored quantum universal enveloping algebras and colored universal \({\mathcal I}\)-matrices. Zbl 0906.17007Quesne, C. 2 1998 Nonstandard \(GL_h(n)\) quantum groups and contraction of covariant \(q\)-bosonic algebras. Zbl 0948.81020Quesne, C. 1 1998 A nonlinear deformed su(2) algebra with a two-color quasitriangular Hopf structure. Zbl 0872.17012Bonatsos, D.; Daskaloyannis, C.; Kolokotronis, P.; Ludu, A.; Quesne, C. 9 1997 Zero-energy states for a class of quasi-exactly solvable rational potentials. Zbl 1052.81513Bagchi, B.; Quesne, C. 5 1997 Colored quantum universal enveloping algebras. Zbl 0889.17003Quesne, C. 5 1997 Recursively minimally-deformed oscillators. Zbl 0879.47048Katriel, J.; Quesne, C. 2 1996 On some nonlinear extensions of the angular momentum algebra. Zbl 0851.17031Quesne, C. 8 1995 Supersymmetry and superalgbra for the two-body system with a Dirac oscillator interaction. Zbl 0900.70153Moshinsky, M.; Quesne, C.; Smirnov, Yu. F. 5 1995 Exchange operators and the extended Heisenberg algebra for the three-body Calogero-Marchioro-Wolfes problem. Zbl 1022.81586Quesne, C. 2 1995 Generalized \(q\)-oscillators and their Hopf structures. Zbl 0880.17008Quesne, C.; Vansteenkiste, N. 2 1995 Generalized deformed parafermions, nonlinear deformations of \(\text{so}(3)\) and exactly solvable potentials. Zbl 0959.81552Quesne, C. 12 1994 Nonlinear deformations of su(2) and su(1,1) generalizing Witten’s algebra. Zbl 0773.17011Delbecq, C.; Quesne, C. 11 1993 A cubic deformation of \(\text{su}(2)\). Zbl 1021.81568Delbecq, C.; Quesne, C. 10 1993 ...and 32 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 892 Authors 58 Quesne, Christiane 25 Sever, Ramazan 24 Bagchi, Bijan Kumar 21 Marquette, Ian 13 Odake, Satoru 13 Schulze-Halberg, Axel 12 Hassanabadi, Hassan 12 Milson, Robert 12 Rowe, David J. 11 Durán, Antonio José 11 Gómez-Ullate, David 11 Prasad, Akhilesh 11 Wolf, Kurt Bernardo 11 Yeşiltaş, Özlem 10 Chung, Won-Sang 10 Fakhri, Hossein 10 Grandati, Yves 10 Hounkonnou, Mahouton Norbert 10 Lévai, Géza 10 Moshinsky, Marcos 10 Mustafa, Omar 10 Sasaki, Ryu 9 Dong, Shihai 9 Shah, Firdous Ahmad 9 Zhang, Mincang 9 Znojil, Miloslav 8 Ikhdair, Sameer M. 8 Roy, Barnana 7 Ahmed, Zafar 7 Khare, Avinash 7 Mandal, Bhabani Prasad 7 Mostafazadeh, Ali 7 Tkachuk, Volodymyr M. 6 Aktaş, Metin 6 Berceanu, Stefan 6 Chargui, Yassine 6 Hussin, Véronique 6 Jia, Chunsheng 6 Mazharimousavi, S. Habib 6 Roy, Pinaki 6 Roychoudhury, Rajkumar 6 Ruan, Dong 6 Tantary, Azhar Y. 6 Tezcan, Cevdet 6 Winternitz, Pavel 6 Yadav, Rajesh Kumar 5 Bougie, Jonathan 5 Chen, Changyuan 5 Fring, Andreas 5 Gangopadhyaya, Asim 5 Ioffe, Mikhail V. 5 Kou, Kit-Ian 5 Kumari, Nisha 5 Long, Zhengwen 5 Negro, Javier 5 Oikonomou, Vasilis K. 5 Rasinariu, Constantin 5 Repka, Joe 5 Ruffing, Andreas 5 Zhang, Yaozhong 4 Hassouni, Yassine 4 Herranz, Francisco José 4 Huang-Fu, Guo-Qing 4 Jing, Jian 4 Kumar, Manish 4 Maamache, Mustapha 4 Mallow, Jeffry V. 4 Midya, Bikashkali 4 Morais, João Pedro 4 Nathan, Joseph Amal 4 Nikitin, Anatoly Glebovich 4 Nishnianidze, D. N. 4 Pedram, Pouria 4 Plyushchay, Mikhail S. 4 Rajabi, Ali Akbar 4 Rañada, Manuel F. 4 Sayyah-Fard, M. 4 Vinet, Luc 4 Yahiaoui, Sid-Ahmed 4 You, Yuan 3 Bagarello, Fabio 3 Ballesteros, Angel 3 Banerjee, Abhijit 3 Basu, Debabrata 3 Ben Geloun, Joseph 3 Bentaiba, Mustapha 3 Berkdemir, Cüneyt 3 Berrada, K. 3 Castaños, Octavio 3 Chai, Yi 3 Chen, Yong 3 Chenaghlou, Alireza 3 Contreras-Astorga, Alonso 3 Daoud, Mohammed 3 Daskaloyannis, Costas 3 De Meyer, Hans E. 3 de Montigny, Marc 3 Debergh, Nathalie 3 Debnath, Swapna 3 del Olmo, Mariano A. ...and 792 more Authors all top 5 Cited in 115 Serials 238 Journal of Mathematical Physics 64 Physics Letters. 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Académie des Sciences, Paris 1 Quantum Information Processing 1 Analysis in Theory and Applications 1 Journal of Function Spaces and Applications 1 International Journal of Quantum Information ...and 15 more Serials all top 5 Cited in 46 Fields 600 Quantum theory (81-XX) 129 Special functions (33-XX) 85 Nonassociative rings and algebras (17-XX) 84 Partial differential equations (35-XX) 83 Harmonic analysis on Euclidean spaces (42-XX) 77 Topological groups, Lie groups (22-XX) 62 Ordinary differential equations (34-XX) 50 Mechanics of particles and systems (70-XX) 39 Information and communication theory, circuits (94-XX) 36 Statistical mechanics, structure of matter (82-XX) 33 Relativity and gravitational theory (83-XX) 32 Integral transforms, operational calculus (44-XX) 31 Dynamical systems and ergodic theory (37-XX) 30 Functional analysis (46-XX) 19 Group theory and generalizations (20-XX) 19 Numerical analysis (65-XX) 19 Optics, electromagnetic theory (78-XX) 18 Differential geometry (53-XX) 17 Operator theory (47-XX) 12 Associative rings and algebras (16-XX) 12 Functions of a complex variable (30-XX) 11 Abstract harmonic analysis (43-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Statistics (62-XX) 8 Algebraic geometry (14-XX) 7 Difference and functional equations (39-XX) 7 Approximations and expansions (41-XX) 6 Combinatorics (05-XX) 6 Number theory (11-XX) 6 Real functions (26-XX) 5 Several complex variables and analytic spaces (32-XX) 3 Integral equations (45-XX) 3 Computer science (68-XX) 3 Systems theory; control (93-XX) 2 General algebraic systems (08-XX) 2 Commutative algebra (13-XX) 2 Geometry (51-XX) 2 Probability theory and stochastic processes (60-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 Algebraic topology (55-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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