Archives
Articles acceptés ou publiés par des journaux avec comité de lecture
Articles de 2010 à 2017
2017
H. De Bie, V.X. Genest, W. van de Vijver, L. Vinet, A higher rank Racah algebra and the Zn2 Laplace-Dunkl operator, J. Phys. A : Math. Theor. 51, (2017) 025203, arXiv :1610.02638
M. Christandl, L. Vinet, A. Zhedanov, Analytic next-to-nearest neighbor XX models with perfect state transfer and fractional revival, Phys. Rev. A 96 (2017) 032335, arXiv : 1607.02639
P. Baseilhac, L. Vinet, A. Zhedanov, The q-Onsager algebra and multivariable q-special functions, J. Phys. A: Math. Theor. 50, (2017) 395201, arXiv: 1610.04797
É.-O. Bossé, L. Vinet, Coherent transport in optical lattices: A survey of recent analytic results, SIGMA 13 (2017), 074, arXiv : 1705.04841
S. Tsujimoto, L. Vinet, A. Zhedanov, Tridiagonal representations of the q-oscillator algebra and Askey-Wilson polynomials, J. Phys. A: Math. Theor. 50, (2017) 235202, arXiv :1612.04038
H. De Bie, V.X. Genest, J.-M. Lemay, L. Vinet, A superintegrable model with reflections on Sn¡1 and the higher rank Bannai-Ito algebra, J. Phys. A: Math. Theor. 50, (2017), 195202, arXiv :1612.07815
J. Gaboriaud, L. Vinet, An algebraic interpretation of the q-Meixner polynomials, Ramanujan J.
43 (2017), 415-445, arXiv: 1608.05354V.X. Genest, S. Tsujimoto, L. Vinet, A. Zhedanov, Persymmetric Jacobi matrices, isospectral deformations and orthogonal polynomials, Journal of Mathematical Analysis and Applications, 450 (2), (2017), 915-928, arXiv : 1605.007008
F. A. Grünbaum, L. Vinet, A. Zhedanov, Tridiagonalization and the Heun equation, Journal of Mathematical Physics, 58, (2017), 031703, arXiv :1602.04840
V. X. Genest, H. Miki, L. Vinet, G. Yu, A superintegrable discrete harmonic oscillator based on bivariate Charlier polynomials, Physics of Atomic Nuclei, 80, 794-800 (2017), arXiv :1511.09155
V.X. Genest, S. Post, L. Vinet, An algebraic interpretation of the multivariate q- Krawtchouk polynomials, The Ramanujan Journal, 43, (2017), 415-445, arXiv :1508.07770
2016
H. De Bie, V.X. Genest, L. Vinet, The Zn2 Dirac-Dunkl operator and a higher rank Bannai- Ito algebra, Advanc es in Mathematics, 303, (2016), 390-414, arXiv :1511.02177
J.-M. Lemay, L. Vinet, A. Zhedanov, An analytic spin chain model with fractional revival, J. Phys. A: Math. Theor. 49, (2016), 335302, arXiv :1509.08965
L. Vinet, A. Zhedanov, Hypergeometric polynomials with respect to Newtonian bases, SIGMA 12, (2016), 048, arXiv :1602.02724
V.X. Genest, L. Vinet, A. Zhedanov, Quantum spin chains with fractional revival, Annals of Physics, 371, (2016), 348-367, arXiv :1507.05919
V.X. Genest, L. Vinet, A. Zhedanov, Exact fractional revival in spin chains, Moder n Physics Letters B 30, (2016), 1650315, arXiv :1506.08434
H. De Bie, V. X. Genest, J.-M. Lemay, L. Vinet, A superintegrable model with reflections on S3 and the rank two Bannai-Ito algebra, Acta Polytechnica, 56, (2016), 166-172, arXiv :1601.07642
V.X. Genest, L. Vinet, A. Zhedanov, The quantum superalgebra ospq(1j2) and a q- generalization of the Bannai-Ito polynomials, Communications in Mathematical Physics, 344, (2016), 465-481, arXiv :1501.05602
H. De Bie, V.X. Genest, L. Vinet, A Dirac-Dunkl equation on S2 and the Bannai-Ito algebra, Communications in Mathematical Physics, 344, (2016), 447-464, arXiv :1501.03108
J.-M. Lemay, L. Vinet, A. Zhedanov, The para-Racah polynomials, Journal of Mathematical Analysis and Applications, 438, (2016), 565- 577, arXiv :1511.05215
V.X. Genest, L. Vinet, A. Zhedanov, The non-symmetric Wilson polynomials are the Bannai-Ito polynomials, Proceedings of the American Mathematical Society, 144, (2016), 5217-5226, arXiv : 1507.02995
V.X. Genest, M. E. H. Ismail, L. Vinet, A. Zhedanov, Tridiagonalization of the hypergeometric operator and the Racah- Wilson algebra, Proceedings of the American Mathematical Society, 144 (2016), 4441-4454, arXiv :1506.07803
G. Bergeron, L. Vinet, Generating function for the osp(1,2) Clebsch-Gordan coefficients, Journal of Physics A : Math. Theor. 49, (2016), 115202, arXiv :1507.00018
V.X. Genest, S. Post, L. Vinet, G.-F. Yu, A. Zhedanov, q-Rotations and Krawtchouk polynomials, The Ramanujan Journal, 40, (2016), 335-357, arXiv :1408.5292
2015
V.X. Genest, L. Vinet, A. Zhedanov, Embeddings of the Racah algebra into the Bannai-Ito algebra, SIGMA 11 (2015), 050, arXiv :1504.00558
J. Gaboriaud, V. X. Genest, J. Lemieux, L. Vinet, A superintegrable discrete oscillator and two-variable Meixner polynomials*, J. Phys. A: Math. Theor. 48 (2015) 415202, arXiv :1502.07293
* IOPselectV.X. Genest, L. Vinet, A. Zhedanov, The equitable presentation of ospq(1j2) and a q- analog of the Bannai-Ito algebra, Letters in Mathematical Physics, 105, (2015), 1725-1734, arXiv :1502.01297
L. Vinet, G. Yu, A. Zhedanov, -1 Krall-Jacobi Polynomials, Methods and Applications of Analysis 22 (2015) 249 - 258, arXiv :1205.7037
L. Vinet, G. Yu, Y.-N. Zhang, On an integrable system related to the relativistic Toda lattice - Bäcklund transformation and integrable discretization, Journa l of Difference Equations and Applications 21 (2015) 403 - 417, arXiv : 1502.02752
V. X. Genest, L. Vinet, A. Zhedanov, A Laplace-Dunkl equation on S2 and the Bannai-Ito algebra, Comm. Math. Phys. 336, 243 - 259 (2015), arXiv:1312.6604
V.X. Genest, J.-M. Lemay, L. Vinet, A. Zhedanov, Two-variable -1 Jacobi Polynomials, Integral Transform and Special Functions 26, 411 - 425 (2015), arXiv :1411.7299
V. X. Genest, A. Lapointe, L. Vinet, The Dunkl - Coulomb problem in the plane, Phys. Lett. A 379, 923 - 927 (2015), arXiv : 1405.5742
2014
V. X. Genest, L. Vinet, The generic superintegrable system on the 3-sphere and the 9 j symbols of su(1,1), SIGMA 10, 108 (2014), arXiv:1404.0876
V. X. Genest, L. Vinet, The multivariate Hahn polynomials and the singular oscillator, J. Phys. A: Math. Theor. 47, 455201 (2014), arXiv :1406.6719
V. X. Genest, H. Miki, L. Vinet, A. Zhedanov, The multivariate Charlier polynomials as matrix elements of the Euclidean group representation on oscillator states, J. Phys.A : Math. Theor., 47 215204 (2014), arXiv:1401.7901
V. X Genest, L. Vinet, A. Zhedanov, Superintegrability in two dimensions and the Racah- Wilson algebra, Lett. Math. Phys. 104 931-952 (2014), arXiv :1307.5539
V. X. Genest, L. Vinet, A. Zhedanov, The Bannai-Ito algebra and a superintegrable system with reflections on the 2-sphere, J. Phys.A : Math. Theor. 47 205202 (2014), arXiv:1401.1525
V. X. Genest, L. Vinet, A. Zhedanov, A "continuous" limit of the Complementary Bannai- Ito polynomials: Chihara polynomials, SIGMA 10 038 (2014), arXiv : 1309.7235
V. X. Genest, L. Vinet, A. Zhedanov, The multivariate Meixner polynomials as matrix elements of SO(d,1) representations on oscillator states, J. Phys. A : Math. Theor. 47 045207 (2014), arXiv:1310.6953
V. X. Genest, L. Vinet, A. Zhedanov, The equitable Racah algebra from three su(1,1) algebras*, J. Phys. A: Math. Theor. 47025203 (2014), arXiv :1309.3540
* IOPselectV. X. Genest, L. Vinet, A. Zhedanov, Interbasis expansions for the isotropic 3D harmonic oscillator and bivariate Krawtchouk polynomials, J. Phys.A : Math. Theor. 47 025202 (2014), arXiv:1307.0692
V.X. Genest, M.E.H. Ismail, L. Vinet, A. Zhedanov, The Dunkl oscillator in the plane II : representations of the symmetry algebra, Commun. Math. Phys. 329, 999-1029 (2014), arXiv: 1302.6142
V. X. Genest, L. Vinet, A. Zhedanov, The Bannai-Ito polynomials as Racah coefficients of the sl¡1(2) algebra, Proc. Am. Math. Soc. 142, (2014), 1545-1560, arXiv : 1205 .4215
M. Derevyagin, S. Tsujimoto, L. Vinet, A. Zhedanov, Bannai-Ito polynomials and dressing chains, Proceedings of the American Mathematical Society 142, (2014), 4191-4206, arXiv :1211.1963
2013
V.X. Genest, L. Vinet, A. Zhedanov, The multivariate Krawtchouk polynomials as matrix elements of the rotation group representations on oscillator states, J. Phys. A: Math. Theor. 46 505203 (2013) arXiv: 1306.4256
V.X. Genest, J.-M. Lemay, L. Vinet, A. Zhedanov, The Hahn superalgebra and supersymmetric Dunkl oscillator models, J. Phys. A : Math. Theor. 46 505204 (2013) arXiv: 1309.1701
V.X. Genest, M.E.H. Ismail, L. Vinet, A. Zhedanov, The singular and the 2:1 anisotropic Dunkl oscillators in the plane, J. Phys. A: Math. Theor. 46 325201 (2013), arXiv: 1305.2126
A.F. Grünbaum, L. Vinet, A. Zhedanov, Birth and death processes and quantum spin chains*, J. Math. Phys. 54, 062101 (2013) arXiv: 1205.4680
*Most read paper in the Journal of Mathematical Physics in October 2013.L.Vinet, G. Yu, Discrete Analogs of the Generalized Coupled Integrable Dispersionless Equations, J. Phys. A : Math. Theor. 46 175205 (2013).
V. X. Genest, M. E. H. Ismail, L. Vinet, A. Zhedanov, The Dunkl oscillator in the plane I : superintegrability, separated wavefunctions and overlap coefficients, J. Phys. A: Math. Theor. 46 145201 (2013), arXiv: 1212.4459.
V. X. Genest, L. Vinet, A. Zhedanov, Bispectrality of the Complementary Bannai-Ito polynomials, SIGMA 9 (2013) 018, arXiv: 1211.2461.
H. Miki, S. Post, L. Vinet, A. Zhedanov, A superintegrable finite oscillator in two dimensions with SU(2) symmetry, J. Phys. A: Math. Theor. 46 125207 (2013), arXiv: 1212.4142.
L. Vinet, G. Yu, On the discretization of the coupled integrable dispersionless equations, Journal of Nonlinear Mathematical Physics 20 :1, 106-125, (2013).
V. X. Genest, L. Vinet, A. Zhedanov, The algebra of dual -1 Hahn polynomials and the Clebsch-Gordan problem of sl-1(2), J. Math. Phys. 54, 023506 (2013), arXiv: 1207.4220
S. Tsujimoto, L. Vinet, A. Zhedanov, Dual -1 Hahn polynomials: "classical" polynomials beyond the Leonard duality, Proc. Am. Math. Soc. 141 (2013) 959 - 970, arXiv: 1108.0132
2012
S. Post, S. Tsujimoto, L. Vinet, Families of superintegrable Hamiltonians constructed from exceptional polynomials, J. Phys. A: Math. Theor. 45 (2012) 405202, arXiv: 1206.0480
L. Vinet, A. Zhedanov, Almost perfect state transfer in quantum spin chains, Phys. Rev. A 86, 052319 (2012), arXiv: 1205.4880
H.Miki, S.Tsujimoto, L. Vinet, A.Zhedanov, Quantum state transfer in a two dimensional regular spin lattice of triangular shape, Phys. Rev. A 85 (2012) 062306, arXiv: 1203.2128
H.Miki, S.Tsujimoto, L. Vinet, A.Zhedanov, (2012), An algebraic model for the multiple Meixner polynomials of the first kind, J. Phys. A : Math. Theor. 45 (2012) 325205, arXiv: 1203.0357
L. Vinet, A. Zhedanov, Para-Krawtchouk polynomials on a bi-lattice and quantum spin chain with perfect state transfer, J. Phys. A: Math. Theor. 45 (2012) 265304, arXiv: 1110.6475
V. X. Genest, L. Vinet, A Zhedanov, Generalized squeezed-coherent states of the finite one-dimensional oscillator and matrix-orthogonality, J. Phys. A : Math. Theor. 45 (2012) 205207, arXiv: 1202.3410
M. Derevyagin, L.Vinet, A.Zhedanov, CMV matrices and little and big -1 Jacobi polynomials, Constructive Approximation, 36, (2012), 513-535, arXiv: 1108.3535
V.X. Genest, L. Vinet, A. Zhedanov, d-Orthogonal polynomials and su(2), Journal
of Mathematical Analysis and Applications, 390 (2012) 472-487, arXiv: 1110.1902L. Vinet, A. Zhedanov, How to construct spin chains with perfect state transfer, Phys. Rev. A 85, 012323 (2012) arXiv: 1110.6474
S. Tsujimoto, L. Vinet, A. Zhedanov, Dunkl shift operators and Bannai-Ito polynomials, Advanc es in Mathematics 229 (2012) 2123 - 2158, arXiv: 1106.3512
L. Vinet, A. Zhedanov, A limit q = -1 for the big q-Jacobi polynomials, Trans. Am. Math. Soc. 364 (2012) 5491-5507, arXiv: 1011.14294
2011
S. Post, L. Vinet, A. Zhedanov, An infinite family of superintegrable Hamiltonians with reflection in the plane, J. Phys. A: Math. Theor. 44 (2011) 505201, arXiv: 1108.5208
H. Miki, L. Vinet, A. Zhedanov, Non-Hermitian oscillator Hamiltonians and multiple Charlier polynomials, Physics Letters A 376 (2011) 65-69, arXiv: 1106.5243
S. Tsujimoto, L. Vinet, A. Zhedanov, Jordan algebras and orthogonal polynomials, J. Math. Phys. 52 (2011) 103512, arXiv: 1108.3531
S. Tsujimoto, L. Vinet, A. Zhedanov, From slq(2) to a parabosonic Hopf algebra, SIGMA 7 (2011), 092, arXiv: 1108.1603
S. Post, L. Vinet, A. Zhedanov, Supersymmetric quantum mechanics with reflections, J.Phys. A: Math. Theor. 44 (2011) 435301, arXiv: 1107.5844
L. Vinet, A. Zhedanov, Representations of the Schrödinger group and matrix orthogonal polynomials, J. Phys. A: Math.Theor., 44 (2011) 355201; arXiv: 1105.0701
L. Vinet, A. Zhedanov, A Bochner theorem for Dunkl polynomials, SIGMA 7 (2011), 020, arXiv: 1011.1457
L. Vinet, A. Zhedanov, A missing family of classical orthogonal polynomials, J. Phys. A: Math. Theor. 44 (2011) 085201, arXiv: 1011.1669
Articles de 2000 à 2009
2009
L. Vinet, A. Zhedanov, Elliptic solutions of the restricted Toda chain, Lamé polynomials and generalization of the elliptic Stieltjes polynomials, J. Phys. A: Math. Theor. 42 (2009) 454024
L. Vinet, A. Zhedanov, Automorphisms of the Heisenberg-Weyl algebra and d-orthogonal polynomials, J. Math. Phys. 50 (2009) 033511
L. Vinet, A. Zhedanov, The Poncelet problem and the discrete time pendulum, J. Phys. A: Math. Theor. 42 (2009) 175206
2008
H. Ujino, L. Vinet, T. Yajima, H. Yoshida, Additional Constants of Motion for a Discretization of the Calogero-Moser Model, Journal of the Physical Society of Japan, 77, p. 074001, (2008), arXiv: 0710.1899
L. Vinet, A. Zhedanov, Quasi-Linear Algebras and Integrability (the Heisenberg Picture), Symmetry, Integrability and Geometry : Methods and Applications SIGMA 4, pp.15-37, (2008), arXiv: 0802.0744
2007
L. Vinet, A. Zhedanov, Elliptic Biorthogonal Polynomials Connected with Hermite’s Continued Fraction, Symmetry, Integrability and Geometry: Methods and Applications SIGMA 3, (2007), pp 3-21, 2007, arXiv: 0701135
2005
H. Ujino, L.Vinet, H.Yoshida, A Super-Integrable Discretization of the Calogero Model, Journal of Mathematical Physics, 46, (2005), arXiv: 0409031
2004
L. Lapointe, H.Ujino, L.Vinet, Supersymmetry in the Non-Commutative Plane, Annals of Physics, 314 (2004) 464-475, arXiv: 0405271
F. A. Grünbaum, L.Vinet, A.Zhedanov, Linear operator pencils on Lie algebras and Laurent biorthogonal polynomials, Journal of Physics A 37, pp. 7711-7725, (2004).
L. Vinet, A. Zhedanov, A characterization of classical and semiclassical orthogonal polynomials from their dual polynomials, Journal of Computational and Applied Mathematics, 172 (2004) 41-48.
2003
L. Vinet, A. Zhedanov, Two-dimensional Krall-Sheffer polynomials and quantum systems on spaces with constant curvatures, Letters in Mathematical Physics, 65, pp. 83-94, (2003).
2001
L. Vinet, A. Zhedanov, Spectral transformations of the Laurent biorthogonal polynomials. I. q-Appel polynomials, Journal of Computational and Applied Mathematics 131, pp 253-266, (2001).
L. Vinet, O. Yermolayeva, A. Zhedanov, A Family of Krall Polynomials, Journal of Methods and Applications of Analysis, 8, pp. 1-14, (2001).L. Vinet, A. Zhedanov, Spectral Transformations of the Laurent biorthogonal polynomials. II. Pastro polynomials, Canadian Mathematical Bulletin, 44, pp. 337-345, (2001).
L. Vinet, A. Zhedanov, Generalized little q-Jacobi polynomials as eigensolutions of higher-order q-difference operators, Proceedings of the American Mathematical Society, 129 (5), pp. 1317-1327, (2001).
Articles de 1990 à 1990
1999
L. Vinet, A. Zhedanov, Szegö polynomials on the Real Basis, Integral Transforms and Special Functions 8, pp. 149-164, (1999).
1998
R. Floreanini, L. Lapointe, L. Vinet, Algebraic Description of SN-invariant Oscillator States, Journal of Mathematical Physics, 39, pp. 5739-5761, (1998).
L. Vinet, A. Zhedanov, An integrable system connected with the Uvarov-Chihara problem for orthogonal polynomials, Journal of Physics A 31, pp. 9579-9591, (1998).
L. Vinet, A. Zhedanov, An integrable chain and bi-orthogonal polynomials, Letters in Mathematical Physics 46, pp. 223-245, (1998).
J.F. Van Diejen, L. Vinet, The quantum dynamics of the compactified trigonometric Ruijsenaars-Schneider Model, Communications in Mathematical Physics 197, pp. 33-74, (1998).
R. Floreanini, L. Lapointe, L. Vinet, The dynamical algebra of the three-body Calogero model, Physics Letters B 421, pp. 229-236, (1998).
I. Loutzenko, V. Spiridonov, L. Vinet, A. Zhedanov, Spectral analysis of a q-oscillator with general bilinear interaction, Journal of Physics A 31, pp. 9081-9094, (1998).
A. Morozov, L. Vinet, Free-Field Representation of the Group Element for Simple Quantum Groups, Int. J. Mod. Phys. A13, pp. 1651-1708, (1998).
L. Lapointe, L. Vinet, A short proof of the integrality of the (q, t)-Kostka coefficients, Duke Mathematical Journal 91, no. 1, pp. 205-214, (1998).
1997
L. Lapointe, L. Vinet, Rodrigues Formulas for the Macdonald Polynomials, Advanc es in Mathematics 130, pp. 261-279, (1997).
L. Lapointe, L. Vinet, Creation Operators for the Macdonald and Jack Polynomials, Letters in Mathematical Physics 40, pp. 269-286, (1997).
A.H. Bougourzi, L. Vinet, On the relation betweenUq(sl(2)) vertex operators and q-zonal functions, Letters in Mathematical Physics 39, pp. 299-311, (1997).
D. Levi, L. Vinet, P. Winternitz, Lie Group Formalism for Difference Equations, Journal of Physics A 30, pp. 633-649, (1997).
V. Spiridonov, L. Vinet, Spectral transformations, self-similar reductions and orthogonal polynomials, Journal of Physics A: Mathematical and General 30, pp. 7621-7637, (1997).
1996
R. Floreanini, L. Lapointe, L. Vinet, The polynomial SU(2) symmetry algebra of the two- body Calogero model, Physics Letters B 389, pp. 327-333, (1996).
A.H. Bougourzi, L. Vinet, A Quantum Analog of the Z-algebra, Journal of Mathematical Physics 37, p. 3548, (1996).
R. Floreanini, J. LeTourneux, L.Vinet, A q-deformed e(4) and continuous q-Jacobi polynomials, Journal of Mathematical Physics 37, pp. 4135-4149, (1996).
L. Lapointe, L. Vinet, Exact Operator Solution of the Calogero-Sutherland Model, Communica tions in Mathematical Physics 178, pp. 425-452, (1996).
R. Floreanini, L. Vinet, q-Gamma and q-Beta Functions in Quantum Algebra Representation Theory, Journal of Computational and Applied Math¬ematics 68, pp. 57-68, (1996).
R. Floreanini, J. Negro, L.M. Nieto, L. Vinet, Symmetries of the heat equation on the lattice, Letters in Mathematical Physics, 36, pp. 351-355, (1996).
A.H. Bougourzi, L. Vinet, On a Bosonic-Parafermionic Realization of Uq(sl(2)), Letters in Mathematical Physics 36, pp. 101-108, (1996).
1995
L. Lapointe, L.Vinet, A Rodrigues Formula for the Jack Polynomials and the Macdonald- Stanley Conjecture, International Mathematics Research Notices 9, pp. 419-424, (1995).
R. Floreanini, L.Vinet, Lie symmetries of finite-difference equations, Journal of Mathematical Physics 36(12), pp. 7024-7042, (1995).
P. Létourneau, L.Vinet, Superintegrable Systems: Polynomial Algebras and Quasi-Exactly Solvable Hamiltonians, Annals of Physics 243-1, pp. 144-168, (1995).
R. Floreanini, L. Vinet, Quantum Algebra Approach to q-Gegengauer Polynomials, Journal of Computational and Applied Mathematics 57, pp. 123-133, (1995).
R. Floreanini, J. LeTourneux, L. Vinet, An algebraic interpretation of the continuous big q-Hermite polynomials, Journal of Mathematical Physics 36, pp. 5091-5097, (1995).
R. Floreanini, L. Vinet, Quantum Symmetries of q-Difference Equations, Journal of Mathematical Physics 36, pp. 3134-3156, (1995).
R. Floreanini, L. Vinet, A Model for Continuous q-Ultraspherical Polynomials, Journal of Mathematical Physics 36, pp. 3800-3813, (1995).
R. Floreanini, J. LeTourneux, L. Vinet, More on q-oscillator algebra and q-orthogonal polynomials, Journal of Physics A 28, pp. L287-L293, (1995).
A.H, Bougourzi, L. Vinet, Quantum Analog of the Boson-Fermion Correspondence, Int. J. Mod. Phys. A10, pp. 923-942, (1995).
1994
R. Floreanini, A. Morozov, L. Vinet, q-Hypergeometric Functions, Quantum Algebras and Free Fields, Theor. Math. Phys. 98, pp. 259-265, (1994).
R. Floreanini, L. Lapointe, L. Vinet, A Quantum Algebra Approach to Basic Multivariable Special Function, Journal of Physics A 27, pp. 6781-6797, (1994).
V.P. Spiridonov, L. Vinet, A. Zhedanov, Periodic Reductions of the Factorization Chain and Hahn Polynomials, Journal of Physics A 27, pp. L669-L675, (1994).
R. Floreanini, L. Vinet, Generalized q-Bessel Functions, Can. J. Phys. 72, pp. 345-354, (1994).
R. Floreanini, L. Vinet, Symmetries of the q-Difference Heat Equation, Letters in Mathematical Physics 32, pp. 37-44, (1994).
R. Floreanini, L. Vinet, Uq(sl(2)) and q-special functions, Contemporary Mathematics 160, pp. 85-100, 1994.
D. Levi, L. Vinet, P. Winternitz, Symmetries and Conditional Symmetries of a Non- Relativistic Chern-Simons System, Ann. Phys. 230, pp. 101-117, (1994).
1993
R. Floreanini, L. Vinet, Automorphisms of the q-Oscillator Algebra and Basic Orthogonal Polynomials, Physics Letters A180, pp. 393-401, (1993).
V. Spiridonov, L. Vinet, A. Zhedanov, Difference Schrödinger Operators with Linear and Exponential Discrete Spectra, Letters in Mathematical Physics 29, pp.63-73, (1993).
A. Morozov, L. Vinet, q-Hypergeometric Functions in the Formalism of Free Fields, Mod. Phys. Lett. A8, pp. 2891, (1993).
R. Floreanini, L. Vinet, An Algebraic Interpretation of the q-Hypergeometric Functions, J. Group Theory Phys. 1, pp. 1-10, (1993).
R. Floreanini, J. LeTourneux, L. Vinet, Quantum Mechanics and Polynomials of Discrete Variable, Ann. Phys. 226, pp. 331-349, (1993).
R. Floreanini, L. Lapointe, L. Vinet, A Note on (p,q)-Oscillators and Bibasic Hypergeometric Functions, Journal of Physics A26, pp. L-611-L614, (1993).
R. Floreanini, L. Vinet, q-Difference Realizations of Quantum Algebras, Physics Letters B315, pp. 299-303, (1993).
R. Floreanini, L. Vinet, On the Quantum Group and Quantum Algebra Approach to q- Special Functions, Letters in Mathematical Physics 27, pp. 179-190, (1993).
R. Floreanini, L. Vinet, Quantum Algebras and q-Special Functions, Ann. Phys. 221, pp. 53-79, (1993).
1992
R. Floreanini, L. Vinet, Using Quantum Algebras in q-Special Functions Theory, Physics Letters A170, pp. 21-28, (1992).
R. Floreanini, L. Vinet, Addition Formulas for q-Bessel Functions, Journal of Mathematical Physics 33, pp 2984-2988, (1992).
R. Floreanini, L. Vinet, q-Conformal Quantum Mechanics and q-Special functions, Physics Letters B277, pp. 442-446, (1992).
R. Floreanini, L. Vinet, The Metaplectic Representation of suq(1,1) and the q- Gegenbauer Polynomials, Journal of Mathematical Physics 33, pp. 1358-1362, (1992).
M. Mayrand, L. Vinet, Hidden Symmetries of Two-Dimensional Systems with Local Degeneracies, Journal of Mathematical Physics 33, pp. 203-212, (1992)
1991
R. Floreanini, L. Vinet, Braid Group Action on the q-Weyl Algebra, Letters in Mathematical Physics 23, pp. 151-158, (1991).
R. Floreanini, D.A. Leites, L. Vinet, On the Defining Relations of Quantum Superalgebras, Letters in Mathematical Physics 23, pp. 127-131, (1991).
A.A. Andrianov, M.V. Ioffe, V.P. Spiridonov, L. Vinet, Parasupersymmetry and Truncated Supersymmetry in Quantum Mechanics, Physics Letters B272, pp. 297-305, (1991).
R. Floreanini, L. Vinet, Parasupersymmetry in Quantum Mechanics and Field Theory, Phys.Rev. D44, pp. 3851-3857, (1991).
V.P. Spiridonov, L. Vinet, Parasupersymmetric Quantum Mechanical Systems in Two Dimensions, Phys. Rev. D44, pp.3986-3990, (1991).
S. Durand, M. Mayrand, V.P. Spiridonov, L. Vinet, Higher Order Parasupersymmetric Quantum Mechanics, Mod. Phys. Lett. A6, pp. 3163-3169, (1991).
R. Floreanini, L. Vinet, Q-Orthogonal Polynomials and the Oscillator Quantum Group, Letters in Mathematical Physics 22, pp. 45-54, (1991).
R. Floreanini, V.P. Spiridonov, L. Vinet, Q-Oscillator Realizations of the Quantum Superalgebras slq(m,n) and ospq(m,2n), Commun. Math. Phys. 137, pp. 149-160, (1991).
E. D’Hoker, R. Floreanini, L. Vinet, Q-Oscillator Realizations of the Metaplectic Representation of Quantum osp (3,2), Journal of Mathematical Physics 32, pp. 1427-1429, (1991).
S. Labelle, M. Mayrand, L. Vinet, Symmetries and Degeneracies of a Charged Oscillator in the Field of a Magnetic Monopole, Journal of Mathematical Physics 32, pp. 1516-1521, (1991).
1990
R. Floreanini, L. Vinet, Q-Analogues of the Parabose and Parafermi Oscillators and Representations of Quantum Algebras, Journal of Physics A23, pp. L1019-L1023, (1990).
R. Floreanini, V.P. Spiridonov, L. Vinet, Bosonic Realization of the Quantum Superalgebra ospq(1,2n), Physics Letters B242, pp. 383-386, (1990).
S. Durand, L. Vinet, Dynamical Parasuperalgebras and Harmonic Oscillators, Physics Letters A146, pp. 299-304, (1990).
S. Durand, L. Vinet, Dynamical Parasuperalgebras of Parasupersymmetric Harmonic Oscillators, Cyclotron Motion and Morse Hamiltonians, Journal of Physics A23, pp. 3661-3672, (1990).
R. Girard, J. LeTourneux, L. Vinet, Effective Hamiltonian and Berry’s Potentials for the Dipole-quadrupole Problem in Spherical Nuclei, Nucl. Phys. A512, pp. 149-166, (1990).
R. Floreanini, J.M. Lina, L. Vinet, P. Winternitz, Symmetries of Semiclassical Gravity in Two Dimensions, Phys. Rev. D41, pp. 1862-1866, (1990).
Articles de 1980 à 1989
1989
S. Durand, R. Floreanini, M. Mayrand, L. Vinet, Conformal Parasuperalgebras and their Realizations on the Line, Physics Letters B233, pp. 158-162, (1989).
S. Durand, L. Vinet, Conformal Parasupersymmetry in Quantum Mechanics, Mod. Phys. Lett. A4, pp. 2519-2529, (1989).
R. Floreanini, L. Vinet, Schrödinger picture for self-dual superfields, Phys. Rev. D40. 1862, (1989).
S. Durand, J.-M. Lina, L. Vinet, Symmetries of massless Dirac equations and supersymmetric quantum mechanics, Letters in Mathematical Physics 17 289-293, (1989).
1988
S. Durand, J.-M. Lina, L. Vinet, Symmetries of the massless equation in Minkowski space, Phys. Rev. D38, 3837, (1988).
L. Benoit, L. Vinet, Supermultiplet of particles in a Coulomb potential : States and wave functions from the representation theory of OSp(2,1), Journal of Mathematical Physics 29, 2438-2442, (1988).
J. LeTourneux, L. Vinet, Dipole-quadrupole interaction in spherical nuclei and Berry potentials, Physical Review Letters 61, 1469, (1988).
R. Floreanini, L. Vinet, Functional representation of the superconformal group in two dimensions, Phys. Rev. D38, 543, (1988).
L. Vinet, Invariant Berry Connections, Phys. Rev. D37:2369-2372, (1988).
1987
B. Piette, L. Vinet, Spectrum-Generating Algebras for the Supersymmetric Morse and Pöschl-Teller Hamiltonians, Physics Letters A125, pp. 380-384, (1987).
R. Floreanini, L. Vinet, Vacuum State of Complex Scalar Fields in SO(2,1) Invariant Background, Phys. Rev. D36, pp. 1731-1739, (1987).
H. Panagopoulos, L. Vinet, Superinvariant chiral and vector fields, Journal of Mathematical Physics 28, 1608-1618, (1987).
1986
E. D’Hoker, L. Vinet, Hidden Symmetries and Accidental Degeneracy for a Spin 1/2 Particle in the Field of a Dyon, Letters in Mathematical Physics 12, pp.71-76, (1986).
1985
E. D’Hoker, L. Vinet, Constants of Motion for a Spin 1/2 Particle in the Field of a Dyon, Phys. Rev. Lett. 55, pp. 1043-1046, (1985).
E. D’Hoker, L. Vinet, Spectrum (Super-) Symmetries of Particles in a Coulomb Potential, Nucl. Phys. B 260, pp. 79-100, (1985).
E. D’Hoker, L. Vinet, Classical Solutions to Topologically Massive Yang-Mills Theory, Annals of Physics 162, pp. 413-444, (1985).
E. D’Hoker, L. Vinet, Dynamical Supersymmetry of the Magnetic Monopole and the 1/r2- Potential, Comm. Math. Phys. 97, pp. 391-427, (1985).
1984
E. D’Hoker, L. Vinet, Supersymmetry of the Pauli Equation in the Presence of a Magnetic Monopole, Physics Letters B137, pp. 72-75, (1984).
E. D’Hoker, L. Vinet, Superspace Formulation of the Dynamical Symmetries of the Dirac Magnetic Monopole, Letters in Mathematical Physics 8, pp. 439-448, (1984) .
1982
Saint-Aubin, L. Vinet, J. Doneux, Invariant Physical Fields with Gauge Degrees of Freedom, Physica 114A, pp. 398-402, (1982).
J. Doneux, Y. Saint-Aubin, L. Vinet, The Matter- Coupled Yang-Mills System in Minkowski Space II: Invariant Solutions in the Presence of Dirac Fields, Phys. Rev. D25, pp. 484-501, (1982).
1981
L. Vinet, The Matter-Coupled Yang-Mills System in Minkowski Space I: Invariant Solutions in the Presence of Scalar Fields, Phys. Rev. D24, pp. 3179-3194, (1981).
P. LaFrance, C. Lechanoine, F. Lehar, F. Perrot, L. Vinet, P. Winternitz, Tests of Isospin Invariance in Neutron-Proton Scattering, Nuovo Cimento 64A, pp. 179-200, (1981).
1980
J. Harnad, S.D. Shnider, L. Vinet, Group Actions on Principal Bundle and Invariance Conditions for Gauge Fields, Journal of Mathematical Physics 21, pp. 2719-2733, (1980).
Articles de 1970 à 1979
1979
J. Harnad, S.D. Shnider, L. Vinet, The Yang-Mills System in Compactified Minkowski Space; Invariance Conditions and SU(2) Invariant Solutions, Journal of Mathematical Physics 20, pp. 931-942, (1979).
1978
J. Harnad, L. Vinet, On the U(2) Invariant Solutions to Yang-Mills Equations in Compactified Minkowski Space, Physics Letters B76, pp. 589-594, (1978).