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@article {Marquette.b,
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       URL = {https://doi.org/10.1063/1.3096708},
    EPRINT = {0811.1568},
}

@article {IanM,
    AUTHOR = {Marquette, Ian},
     TITLE = {Classical ladder operators, polynomial {P}oisson algebras, and
              classification of superintegrable systems},
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       URL = {https://doi.org/10.1063/1.3676075},
    EPRINT = {1109.4471},
}

@article {MSW,
    AUTHOR = {Marquette, Ian and Sajedi, Masoumeh and Winternitz, Pavel},
     TITLE = {Fourth order superintegrable systems separating in {C}artesian
              coordinates {I}.~{E}xotic quantum potentials},
   JOURNAL = {J.~Phys.~A: Math. Theor.},
  FJOURNAL = {Journal of Physics. A. Mathematical and Theoretical},
    VOLUME = {50},
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       DOI = {10.1088/1751-8121/aa7a67},
       URL = {https://doi.org/10.1088/1751-8121/aa7a67},
    EPRINT = {1703.09751},
}

@book {Miller.a,
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@article {Miller.b,
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}

@article {MillerPostWinternitz:2013,
    AUTHOR = {Miller, Jr., Willard and Post, Sarah and Winternitz, Pavel},
     TITLE = {Classical and quantum superintegrability with applications},
   JOURNAL = {J.~Phys.~A: Math. Theor.},
  FJOURNAL = {Journal of Physics. A. Mathematical and Theoretical},
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       URL = {https://doi.org/10.1088/1751-8113/46/42/423001},
    EPRINT = {1309.2694},
}

@article {Nikitin1,
    AUTHOR = {Nikitin, A. G.},
     TITLE = {Matrix superpotentials and superintegrable systems for
              arbitrary spin},
   JOURNAL = {J.~Phys.~A: Math. Theor.},
  FJOURNAL = {Journal of Physics. A. Mathematical and Theoretical},
    VOLUME = {45},
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       URL = {https://doi.org/10.1088/1751-8113/45/22/225205},
    EPRINT = {1201.4929},
}

@article {Nikitin2,
    AUTHOR = {Nikitin, A. G.},
     TITLE = {New exactly solvable systems with {F}ock symmetry},
   JOURNAL = {J.~Phys.~A: Math. Theor.},
  FJOURNAL = {Journal of Physics. A. Mathematical and Theoretical},
    VOLUME = {45},
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       URL = {https://doi.org/10.1088/1751-8113/45/48/485204},
    EPRINT = {1205.3094},
}

@incollection {Nikitin3,
    AUTHOR = {Nikitin, A. G.},
     TITLE = {Higher-order symmetry operators for {S}chr\"odinger equation},
 BOOKTITLE = {Superintegrability in Classical and Quantum Systems},
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 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {2004},
    EPRINT = {1603.01715},
}

@article {Popper,
    AUTHOR = {Popper, I. and Post, S. and Winternitz, P.},
     TITLE = {Third-order superintegrable systems separable in parabolic
              coordinates},
   JOURNAL = {J.~Math. Phys.},
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    VOLUME = {53},
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       DOI = {10.1063/1.4729248},
       URL = {https://doi.org/10.1063/1.4729248},
    EPRINT = {1204.0700},
}

@article {PostWinternitz:2010,
    AUTHOR = {Post, Sarah and Winternitz, Pavel},
     TITLE = {An infinite family of superintegrable deformations of the
              {C}oulomb potential},
   JOURNAL = {J.~Phys.~A: Math. Theor.},
  FJOURNAL = {Journal of Physics. A. Mathematical and Theoretical},
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       DOI = {10.1088/1751-8113/43/22/222001},
       URL = {https://doi.org/10.1088/1751-8113/43/22/222001},
    EPRINT = {1003.5230},
}

@article {PostWinternitz:2015,
    AUTHOR = {Post, S. and Winternitz, P.},
     TITLE = {General {$N$}th order integrals of motion in the {E}uclidean
              plane},
   JOURNAL = {J.~Phys.~A: Math. Theor.},
  FJOURNAL = {Journal of Physics. A. Mathematical and Theoretical},
    VOLUME = {48},
      YEAR = {2015},
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       DOI = {10.1088/1751-8113/48/40/405201},
       URL = {https://doi.org/10.1088/1751-8113/48/40/405201},
    EPRINT = {1501.00471},
}

@article {Ranada,
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}

@article {Rodriguez,
    AUTHOR = {Rodriguez, Miguel A. and Winternitz, Pavel},
     TITLE = {Quantum superintegrability and exact solvability in {$n$}
              dimensions},
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       URL = {https://doi.org/10.1063/1.1435077},
    EPRINT = {math-ph/0110018},
}

@book {Runge,
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      YEAR = {1919},
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@article {TTWquantum,
    AUTHOR = {Tremblay, Fr\'ed\'erick and Turbiner, Alexander V. and Winternitz,
              Pavel},
     TITLE = {An infinite family of solvable and integrable quantum systems
              on a plane},
   JOURNAL = {J.~Phys.~A: Math. Theor.},
  FJOURNAL = {Journal of Physics. A. Mathematical and Theoretical},
    VOLUME = {42},
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       DOI = {10.1088/1751-8113/42/24/242001},
       URL = {https://doi.org/10.1088/1751-8113/42/24/242001},
    EPRINT = {0904.0738},
}

@article {TTWclassical,
    AUTHOR = {Tremblay, Fr\'ed\'erick and Turbiner, Alexander V. and Winternitz,
              Pavel},
     TITLE = {Periodic orbits for an infinite family of classical
              superintegrable systems},
   JOURNAL = {J.~Phys.~A: Math. Theor.},
  FJOURNAL = {Journal of Physics. A. Mathematical and Theoretical},
    VOLUME = {43},
      YEAR = {2010},
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       DOI = {10.1088/1751-8113/43/1/015202},
       URL = {https://doi.org/10.1088/1751-8113/43/1/015202},
    EPRINT = {0910.0299},
}

@article {TPW2010,
    AUTHOR = {Tremblay, Fr\'ed\'erick and Winternitz, Pavel},
     TITLE = {Third-order superintegrable systems separating in polar
              coordinates},
   JOURNAL = {J.~Phys.~A: Math. Theor.},
  FJOURNAL = {Journal of Physics. A. Mathematical and Theoretical},
    VOLUME = {43},
      YEAR = {2010},
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       DOI = {10.1088/1751-8113/43/17/175206},
       URL = {https://doi.org/10.1088/1751-8113/43/17/175206},
    EPRINT = {1002.1989},
}

@article {Tsiganov:2000,
    AUTHOR = {Tsiganov, A. V.},
     TITLE = {The {D}rach superintegrable systems},
   JOURNAL = {J.~Phys.~A: Math. Gen.},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {33},
      YEAR = {2000},
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       DOI = {10.1088/0305-4470/33/41/310},
       URL = {https://doi.org/10.1088/0305-4470/33/41/310},
    EPRINT = {nlin.SI/0001053},
}

@article {Tsiganov:2008,
    AUTHOR = {Tsiganov, A. V.},
     TITLE = {On maximally superintegrable systems},
   JOURNAL = {Regul. Chaotic Dyn.},
  FJOURNAL = {Regular and Chaotic Dynamics. International Scientific
              Journal},
    VOLUME = {13},
      YEAR = {2008},
    NUMBER = {3},
     PAGES = {178--190},
       DOI = {10.1134/S1560354708030040},
       URL = {https://doi.org/10.1134/S1560354708030040},
    EPRINT = {0711.2225},
}

@article {Tsiganov:2008B,
    AUTHOR = {Tsiganov, A. V.},
     TITLE = {Addition theorems and the {D}rach superintegrable systems},
   JOURNAL = {J.~Phys.~A: Math. Theor.},
  FJOURNAL = {Journal of Physics. A. Mathematical and Theoretical},
    VOLUME = {41},
      YEAR = {2008},
    NUMBER = {33},
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       DOI = {10.1088/1751-8113/41/33/335204},
       URL = {https://doi.org/10.1088/1751-8113/41/33/335204},
    EPRINT = {0805.3443},
}

@article {wy1,
    AUTHOR = {Winternitz, Pavel and Yurdu\c{s}en, \.Ismet},
     TITLE = {Integrable and superintegrable systems with spin},
   JOURNAL = {J.~Math. Phys.},
  FJOURNAL = {Journal of Mathematical Physics},
    VOLUME = {47},
      YEAR = {2006},
    NUMBER = {10},
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       DOI = {10.1063/1.2360042},
       URL = {https://doi.org/10.1063/1.2360042},
    EPRINT = {math-ph/0604050},
}

@article {wy2,
    AUTHOR = {Winternitz, Pavel and Yurdu\c{s}en, \.Ismet},
     TITLE = {Integrable and superintegrable systems with spin in
              three-dimensional {E}uclidean space},
   JOURNAL = {J.~Phys.~A: Math. Theor.},
  FJOURNAL = {Journal of Physics. A. Mathematical and Theoretical},
    VOLUME = {42},
      YEAR = {2009},
    NUMBER = {38},
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       DOI = {10.1088/1751-8113/42/38/385203},
       URL = {https://doi.org/10.1088/1751-8113/42/38/385203},
    EPRINT = {0906.1021},
}

@article {YTW,
    AUTHOR = {Yurdu\c{s}en, \.Ismet and Tuncer, O. O\u{g}ulcan and Winternitz, Pavel},
     TITLE = {Superintegrable systems with spin and second-order tensor and
              pseudo-tensor integrals of motion},
   JOURNAL = {J.~Phys.~A: Math. Theor.},
  FJOURNAL = {Journal of Physics. A. Mathematical and Theoretical},
    VOLUME = {54},
      YEAR = {2021},
    NUMBER = {30},
     PAGES = {305201, 32~pages},
       DOI = {10.1088/1751-8121/ac0a9e},
       URL = {https://doi.org/10.1088/1751-8121/ac0a9e},
    EPRINT = {2104.07436},
}
