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Pavel Winternitz
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Journal Articles

Invariant solutions of delay differential equations

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Vladimir A. Dorodnitsyn, Roman Kozlov, Sergey V. Meleshko, Pavel Winternitz
Journal: AIP Conference Proceedings
AIP Conf. Proc. 1978, 470091 (2018)
https://doi.org/10.1063/1.5044161
Published: July 2018
View articletitled, Invariant solutions of delay differential equations
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Journal Articles

Fifth-order superintegrable quantum systems separating in Cartesian coordinates: Doubly exotic potentials

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Ismail Abouamal, Pavel Winternitz
Journal: Journal of Mathematical Physics
J. Math. Phys. 59, 022104 (2018)
https://doi.org/10.1063/1.5007252
Published: February 2018
View articletitled, Fifth-order superintegrable quantum systems separating in Cartesian coordinates: Doubly exotic potentials
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Journal Articles

Lie group analysis of a generalized Krichever-Novikov differential-difference equation

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Decio Levi, Eugenio Ricca, Zora Thomova, Pavel Winternitz
Journal: Journal of Mathematical Physics
J. Math. Phys. 55, 103503 (2014)
https://doi.org/10.1063/1.4896989
Published: October 2014
View articletitled, Lie group analysis of a generalized Krichever-Novikov differential-difference equation
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Journal Articles

Erratum: “A class of superintegrable systems of Calogero type” [J. Math. Phys. 47, 093505 (2006)]

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Roman G. Smirnov, Pavel Winternitz
Journal: Journal of Mathematical Physics
J. Math. Phys. 48, 079902 (2007)
https://doi.org/10.1063/1.2749406
Published: July 2007
View articletitled, Erratum: “A class of superintegrable systems of Calogero type” [J. Math. Phys. 47, 093505 (2006)]
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Journal Articles

Polynomial Poisson algebras for classical superintegrable systems with a third-order integral of motion

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Ian Marquette, Pavel Winternitz
Journal: Journal of Mathematical Physics
J. Math. Phys. 48, 012902 (2007)
https://doi.org/10.1063/1.2399359
Published: January 2007
View articletitled, Polynomial Poisson algebras for classical superintegrable systems with a third-order integral of motion
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Journal Articles

Integrable and superintegrable systems with spin

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Pavel Winternitz, İsmet Yurduşen
Journal: Journal of Mathematical Physics
J. Math. Phys. 47, 103509 (2006)
https://doi.org/10.1063/1.2360042
Published: October 2006
View articletitled, Integrable and superintegrable systems with spin
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Journal Articles

A class of superintegrable systems of Calogero type

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Roman G. Smirnov, Pavel Winternitz
Journal: Journal of Mathematical Physics
J. Math. Phys. 47, 093505 (2006)
https://doi.org/10.1063/1.2345472
Published: September 2006
View articletitled, A class of superintegrable systems of Calogero type
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Journal Articles

Umbral calculus, difference equations and the discrete Schrödinger equation

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Decio Levi, Piergiulio Tempesta, Pavel Winternitz
Journal: Journal of Mathematical Physics
J. Math. Phys. 45, 4077–4105 (2004)
https://doi.org/10.1063/1.1780612
Published: November 2004
View articletitled, Umbral calculus, difference equations and the discrete Schrödinger equation
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Journal Articles

Integrable and superintegrable quantum systems in a magnetic field

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Josée Bérubé, Pavel Winternitz
Journal: Journal of Mathematical Physics
J. Math. Phys. 45, 1959–1973 (2004)
https://doi.org/10.1063/1.1695447
Published: May 2004
View articletitled, Integrable and superintegrable quantum systems in a magnetic field
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Journal Articles

Continuous symmetries of Lagrangians and exact solutions of discrete equations

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Vladimir Dorodnitsyn, Roman Kozlov, Pavel Winternitz
Journal: Journal of Mathematical Physics
J. Math. Phys. 45, 336–359 (2004)
https://doi.org/10.1063/1.1625418
Published: January 2004
View articletitled, Continuous symmetries of Lagrangians and exact solutions of discrete equations
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Journal Articles

Superintegrability with third-order integrals in quantum and classical mechanics

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Simon Gravel, Pavel Winternitz
Journal: Journal of Mathematical Physics
J. Math. Phys. 43, 5902–5912 (2002)
https://doi.org/10.1063/1.1514385
Published: December 2002
View articletitled, Superintegrability with third-order integrals in quantum and classical mechanics
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Journal Articles

Quantum superintegrability and exact solvability in n dimensions

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Miguel A. Rodrı́guez, Pavel Winternitz
Journal: Journal of Mathematical Physics
J. Math. Phys. 43, 1309–1322 (2002)
https://doi.org/10.1063/1.1435077
Published: March 2002
View articletitled, Quantum superintegrability and exact solvability in n dimensions
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Journal Articles

Exact solvability of superintegrable systems

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Piergiulio Tempesta, Alexander V. Turbiner, Pavel Winternitz
Journal: Journal of Mathematical Physics
J. Math. Phys. 42, 4248–4257 (2001)
https://doi.org/10.1063/1.1386927
Published: September 2001
View articletitled, Exact solvability of superintegrable systems
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Journal Articles

Integrable and superintegrable Hamiltonian systems in magnetic fields

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Eric McSween, Pavel Winternitz
Journal: Journal of Mathematical Physics
J. Math. Phys. 41, 2957–2967 (2000)
https://doi.org/10.1063/1.533283
Published: May 2000
View articletitled, Integrable and superintegrable Hamiltonian systems in magnetic fields
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Journal Articles

Lie group classification of second-order ordinary difference equations

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Vladimir Dorodnitsyn, Roman Kozlov, Pavel Winternitz
Journal: Journal of Mathematical Physics
J. Math. Phys. 41, 480–504 (2000)
https://doi.org/10.1063/1.533142
Published: January 2000
View articletitled, Lie group classification of second-order ordinary difference equations
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Journal Articles

Superposition formulas for pseudounitary matrix Riccati equations

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Stéphane Lafortune, Pavel Winternitz
Journal: Journal of Mathematical Physics
J. Math. Phys. 37, 1539–1550 (1996)
https://doi.org/10.1063/1.531448
Published: March 1996
View articletitled, Superposition formulas for pseudounitary matrix Riccati equations
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