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Factorization approach to superintegrable systems: Formalism and applications

  • Elementary Particles and Fields
  • Theory
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Abstract

The factorization technique for superintegrable Hamiltonian systems is revisited and applied in order to obtain additional (higher-order) constants of the motion. In particular, the factorization approach to the classical anisotropic oscillator on the Euclidean plane is reviewed, and new classical (super) integrable anisotropic oscillators on the sphere are constructed. The Tremblay–Turbiner–Winternitz system on the Euclidean plane is also studied from this viewpoint.

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Authors and Affiliations

  1. Departamento de Física, Universidad de Burgos, Burgos, Spain

    Á. Ballesteros & F. J. Herranz

  2. Department of Physics, Faculty of Science, Ankara University, Ankara, Turkey

    Ş. Kuru

  3. Departamento de Física Teórica, Atómica y Óptica, Universidad de Valladolid, Valladolid, Spain

    J. Negro

Authors
  1. Á. Ballesteros
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  2. F. J. Herranz
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  3. Ş. Kuru
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  4. J. Negro
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Correspondence to Á. Ballesteros.

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The text was submitted by the authors in English.

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Ballesteros, Á., Herranz, F.J., Kuru, Ş. et al. Factorization approach to superintegrable systems: Formalism and applications. Phys. Atom. Nuclei 80, 389–396 (2017). https://doi.org/10.1134/S1063778817020053

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