Publications (46)
All solvable extensions of a class of nilpotent Lie algebras of dimension n and degree of nilpotency n-1
Libor Snobl, Pavel Winternitz
Lie group classification of first-order delay ordinary differential equations
Vladimir A. Dorodnitsyn, Roman Kozlov, Sergey V. Meleshko +1
Separation of variables and Lie algebra contractions. Applications to special functions
George Pogosyan, Alexey Sissakian, Pavel Winternitz
Reduction of superintegrable systems: the anisotropic harmonic oscillator
Miguel A. Rodriguez, Piergiulio Tempesta, Pavel Winternitz
Infinite families of superintegrable systems separable in subgroup coordinates
Daniel Lévesque, Sarah Post, Pavel Winternitz
An infinite family of solvable and integrable quantum systems on a plane
Frédérick Tremblay, Alexander V. Turbiner, Pavel Winternitz
Solvable Lie algebras with Borel nilradicals
Libor Snobl, Pavel Winternitz
Continuous symmetries of Lagrangians and exact solutions of discrete equations
Vladimir Dorodnitsyn, Roman Kozlov, Pavel Winternitz
Lie point symmetries of difference equations and lattices
Decio Levi, Sébastien Tremblay, Pavel Winternitz
Discretization of partial differential equations preserving their physical symmetries
Francis Valiquette, Pavel Winternitz
Contact transformations for difference schemes
Decio Levi, Zora Thomova, Pavel Winternitz
Lie groups and numerical solutions of differential equations: Invariant discretization versus differential approximation
Decio Levi, Pavel Winternitz
Lie symmetries of multidimensional difference equations
Decio Levi, Sébastien Tremblay, Pavel Winternitz
Discrete matrix Riccati equations with superposition formulas
Alexei V. Penskoi, Pavel Winternitz
Superintegrable systems with spin and second-order integrals of motion
Jean-Francois Desilets, Pavel Winternitz, Ismet Yurdusen
A nonseparable quantum superintegrable system in 2D real Euclidean space
Sarah Post, Pavel Winternitz
Fourth order Superintegrable systems separating in Cartesian coordinates I. Exotic quantum potentials
Ian Marquette, Masoumeh Sajedi, Pavel Winternitz
Solvable Lie algebras with triangular nilradicals
Sébastien Tremblay, Pavel Winternitz
Invariants of the nilpotent and solvable triangular Lie algebras
Sébastien Tremblay, Pavel Winternitz
Integrable and superintegrable quantum systems in a magnetic field
Josee Berube, Pavel Winternitz
Are there Contact Transformations for Discrete Equations?
Decio Levi, Zora Thomova, Pavel Winternitz
Periodicity and Quasi-Periodicity for Super-Integrable Hamiltonian Systems
Maurice Robert Kibler, Pavel Winternitz
Two-dimensional superintegrable systems from operator algebras in one dimension
Ian Marquette, Masoumeh Sajedi, Pavel Winternitz
Symmetry preserving discretization of ordinary differential equations. Large symmetry groups and higher order equations
Rutwig Campoamor-Stursberg, Miguel A. RodrÃguez, Pavel Winternitz
Lorentz and Galilei Invariance on Lattices
Decio Levi, Piergiulio Tempesta, Pavel Winternitz
Quantum superintegrability and exact solvability in N dimensions
Miguel A. Rodriguez, Pavel Winternitz
Structure Preserving Discretizations of the Liouville Equation and their Numerical Tests
Decio Levi, Luigi Martina, Pavel Winternitz
Periodic orbits for an infinite family of classical superintegrable systems
Frédérick Tremblay, Alexander V. Turbiner, Pavel Winternitz
Three-dimensional superintegrable systems in a static electromagnetic field
Antonella Marchesiello, Libor Snobl, Pavel Winternitz
Classical and Quantum Superintegrability with Applications
Willard Miller, Sarah Post, Pavel Winternitz
Lie point symmetries and ODEs passing the Painlevé test
Decio Levi, David Sekera, Pavel Winternitz
Solutions of Non-linear Differential and Difference Equations with Superposition Formulas
Alexander Turbiner, Pavel Winternitz
Exact Solvability of Superintegrable Systems
Piergiulio Tempesta, Alexander V. Turbiner, Pavel Winternitz
Fifth-order superintergrable quantum system separating in Cartesian coordinates. Doubly exotic potentials
Ismail Abouamal, Pavel Winternitz
Lie group analysis of a generalized Krichever-Novikov differential-difference equation
Decio Levi, Eugenio Ricca, Zora Thomova +1
Lie Symmetries and Exact Solutions of First Order Difference Schemes
Miguel A. Rodriguez, Pavel Winternitz
Superintegrable Systems with a Third Order Integrals of Motion
Ian Marquette, Pavel Winternitz
Umbral Calculus, Difference Equations and the Discrete Schroedinger Equation
Decio Levi, Piergiulio Tempesta, Pavel Winternitz
Maximal Abelian Subgroups of the Isometry and Conformal Groups of Euclidean and Minkowski Spaces
Zora Thomova, Pavel Winternitz
Maximal Abelian Subalgebras of e(p,q) algebras
Zora Thomova, Pavel Winternitz
Symmetries of Discrete Systems
Pavel Winternitz
A class of superintegrable systems of Calogero type
Roman G. Smirnov, Pavel Winternitz
Superintegrability with third order invariants in quantum and classical mechanics
Simon Gravel, Pavel Winternitz
Linear or linearizable first-order delay ordinary differential equations and their Lie point symmetries
Vladimir A. Dorodnitsyn, Roman Kozlov, Sergey V. Meleshko +1
Third order superintegrable systems separating in polar coordinates
Frederick Tremblay, Pavel Winternitz
Symmetries of the Continuous and Discrete Krichever-Novikov Equation
Decio Levi, Pavel Winternitz, Ravil I. Yamilov