C e n t r e d e r e c h e r c h e s m a t h é m a t i q u e s
Pavel Winternitz
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AffiliationDépartement de mathématiques et de
statistique, Bureau
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Domaine de recherche
Physique mathématique, symétries et phénomènes non linéaires
- Applications de la théorie de groupes de Lie à l'étude des équations à différences finies
- Solutions exactes des équations différentielles non-linéaires, surtout les équations provenant de l'optique non-linéaire
- Contraction des algèbres de Lie et la séparation de variables
- Classification des algèbres de Lie et leurs sous-algèbres
- Systèmes intégrables et superintégrables en physique quantique et classique.
Field of research
Mathematical physics, symmetries and nonlinear phenomena
- Applications of Lie groups to the study of difference equations
- Exact solutions of nonlinear differential equations, specially those coming from nonlinear optics
- Lie algebra contractions and the separation of variables
- Classification of Lie algebras and their subalgebras
- Integrable and superintegrable systems in quantum and classical physics.
Quelques publications récentes
Some Recent Publications
- F. Tremblay, A. V. Turbiner, and P. Winternitz. Periodic orbits for a family of classical superintegrable systems. J.Phys.A.Math.Theor., 43(1):015202, 2009. (14 pages).
- R.Rebelo and P.Winternitz. Ordinary differential and difference equations invariant under SL(2,R) and their solutions. J. Phys. A. Math.Theor., 42:000000 (10 pages), 2009. (Special issue devoted to Symmetries and Integrability of Difference Equations).
- P.Winternitz and I.Yurdusen. Integrable and superintegrable systems with spin in three-dimensional euclidean space. J.Phys.A.Math.Theor., 42(38):38523 (20 pages), 2009.
- F. Tremblay, A. V. Turbiner, and P. Winternitz. An infinite family of solvable and integrable quantum systems on a plane. J.Phys.A.Math.Theor., 42(24):242001, 2009. (10 pages in Fast Track Communications).
- L. Snobl and P. Winternitz.All solvable extensions of a class of nilpotent algebras of dimension n and degree of nilpotency n-1. J. Phys. A.Math.Theor., 42(10):105201, 2009. (16 pages).
- Marquette I. and P. Winternitz. Superintegrable systems with third order integrals of motion. J. Phys. A. Math.Theor. 41(30):303031 (10 pages), 2008.
- D. Levi and P. Winternitz. Continuous symmetries of difference equations. J.Phys. A Math. Theor., 39(2):R1-R63, 2006.
- D. Levi, P. Tempesta, and P. Winternitz. Umbral calculus, differential equations and the discrete Schrodinger equation. J.Math.Phys., 45(11):4077-4105, 2004.
Listes complètes de publications
Full Listings of Publications
- Books and Contributions to Books (authored or edited)
- Letters (published or accepted)
- Articles (published or accepted)
- Nonrefereed Publications
- Published Conference Contributions
17 décembre 2009 ,
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