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Pavel Winternitz

Pavel Winternitz

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Mathematics
Canada
2023

D-Index & Metrics

Mathematics

D-Index
79
Citations
19503
World Ranking
166
National Ranking
6

Research.com Recognitions

  • 2023 - Research.com Mathematics in Canada Leader Award
  • 2002 - CAP-CRM Prize in Theoretical and Mathematical Physics, Canadian Association of Physicists and Centre de Recherches Mathématiques

Overview

Pavel Winternitz was affiliated with the University of Montreal in Canada. Their research spanned the fields of Physics and Astronomy as well as Mathematics, with a focus on multiple subfields including Statistical and Nonlinear Physics, Geometry and Topology, Atomic and Molecular Physics and Optics, Control and Systems Engineering, and Spectroscopy.

The scientist's notable areas of study included Nonlinear Waves and Solitons, Quantum Mechanics and Non-Hermitian Physics, Quantum Chaos and Dynamical Systems, Advanced Differential Equations and Dynamical Systems, Traffic Control and Management, Molecular Spectroscopy and Chirality, and Graph Theory and Applications.

Winternitz contributed to academic literature through several publications. Selected recent papers are:

  • New infinite families of Nth-order superintegrable systems separating in Cartesian coordinates, 2020, Journal of Physics A Mathematical and Theoretical
  • Second-order delay ordinary differential equations, their symmetries and application to a traffic problem, 2021, Journal of Physics A Mathematical and Theoretical

Their frequent co-authors included:

  • D. Levi
  • R. I. Yamilov
  • A. M. Escobar-Ruiz
  • Román Linares
  • В. А. Дородницын

The primary venue for Winternitz's publications was the Journal of Physics A Mathematical and Theoretical, with multiple contributions appearing there.

Beyond articles, Winternitz authored a book titled Continuous Symmetries and Integrability of Discrete Equations, published in 2023 as part of the CRM monograph series.

Among awarded recognitions, Winternitz received the CAP-CRM Prize in Theoretical and Mathematical Physics from the Canadian Association of Physicists and Centre de Recherches Mathématiques in 2002.

Best Publications

  • Invariants of real low dimension Lie algebras

    J. Patera;R. T. Sharp;P. Winternitz;H. Zassenhaus

  • ON HIGHER SYMMETRIES IN QUANTUM MECHANICS

    J. Friš;V. Mandrosov;Ya.A. Smorodinsky;M. Uhlíř

  • Subalgebras of real three‐ and four‐dimensional Lie algebras

    J. Patera;P. Winternitz

  • Classical and quantum superintegrability with applications

    Willard Miller;Sarah Post;Pavel Winternitz

  • Non-classical symmetry reduction: example of the Boussinesq equation

    Decio Levi;P. Winternitz

  • Superintegrability with third-order integrals in quantum and classical mechanics

    Simon Gravel;Pavel Winternitz

  • Formalism of Nucleon-Nucleon Elastic Scattering Experiments

    J. Bystricky;F. Lehar;P. Winternitz

  • Continuous subgroups of the fundamental groups of physics. I. General method and the Poincaré group

    J. Patera;P. Winternitz;H. Zassenhaus

  • Everything you always wanted to know about SU(3) ⊃ 0(3)

    M Moshinsky;J Patera;R.T Sharp;P Winternitz

  • The computer calculation of Lie point symmetries of large systems of differential equations

    B. Champagne;W. Hereman;P. Winternitz

  • LIE GROUPS AND SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS

    Pavel Winternitz

  • Continuous symmetries of discrete equations

    Decio Levi;Decio Levi;P. Winternitz

  • Symmetry reduction for the Kadomtsev–Petviashvili equation using a loop algebra

    D David;N Kamran;Decio Levi;P. Winternitz

  • An infinite family of solvable and integrable quantum systems on a plane

    Frédérick Tremblay;Alexander V Turbiner;Pavel Winternitz

  • Are all the equations of the Kadomtsev–Petviashvili hierarchy integrable?

    B. Dorizzi;B. Grammaticos;A. Ramani;P. Winternitz

  • Superintegrability with third order invariants in quantum and classical mechanics

    Simon Gravel;Pavel Winternitz

  • Exact solvability of superintegrable systems

    Piergiulio Tempesta;Alexander V. Turbiner;Pavel Winternitz

  • Complete sets of commuting operators and O (3) scalars in the enveloping algebra of SU (3)

    B. R. Judd;B. R. Judd;Willard Miller;J. Patera;P. Winternitz

  • Lie symmetries of a generalised nonlinear Schrodinger equation: I. The symmetry group and its subgroups

    L Gagnon;P Winternitz

  • Superintegrable systems in Darboux spaces

    E. G. Kalnins;J. M. Kress;Willard Miller;P. Winternitz

  • The Group $O(4)$, Separation of Variables and the Hydrogen Atom

    E. G. Kalnins;W. Miller;P. Winternitz

Frequent Co-Authors

Decio Levi
Decio Levi Roma Tre University
Jiri Patera
Jiri Patera University of Montreal
John Harnad
John Harnad University of Montreal
Hans Zassenhaus
Hans Zassenhaus The Ohio State University
Peter J. Olver
Peter J. Olver University of Minnesota
Ernie G. Kalnins
Ernie G. Kalnins University of Waikato
Willard Miller
Willard Miller University of Minnesota
Alfred Ramani
Alfred Ramani Centre national de la recherche scientifique, CNRS
B. Grammaticos
B. Grammaticos University of Paris-Saclay
Charles P. Boyer
Charles P. Boyer University of New Mexico

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