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Maximal superintegrability of Benenti systems
For a class of Hamiltonian systems, naturally arising in the modern theory of separation of variables, we establish their maximal superintegrability by explicitly constructing the additional integrals of motion....
BA - Obecná matematika
- 2005 •
- Jx
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Superintegrability and time-dependent integrals
of the parameters of the considered systems, thus implying maximal superintegrability. Even for values of the parameters for which the systems don't exhibit maximal superintegrability in the usual sense they allow...
Applied mathematics
- 2019 •
- JSC •
- Link
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JSC - Článek v periodiku v databázi SCOPUS
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Linearity of minimally superintegrable systems in a static electromagnetic field
Fifteen three-dimensional classical minimally superintegrable systems in a static electromagnetic field are shown to possess hidden symmetries leading to their linearization, and consequently the corresponding subsets of maximally <...
Mathematics
- 2023 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Classical Superintegrable Systems in a Magnetic Field that Separate in Cartesian Coordinates
coordinates. We construct all possible minimally and maximally superintegrable systems the classification of three-dimensional quadratically minimally and maximally superintegrableWe consider superintegrabilit...
Applied mathematics
- 2020 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Exact solvability of superintegrable Benenti systems
We establish quantum and classical exact solvability for two large classes of maximally superintegrable Benenti systems in n dimensions with arbitrarily large n. Namely, we solve the Hamilton-Jacobi and Schrödinger equations for the...
BE - Teoretická fyzika
- 2007 •
- Jx
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
An Infinite Family of Maximally Superintegrable Systems in a Magnetic Field with Higher Order Integrals
that it is maximally superintegrable. Depending on the values of the parameters of the systemWe construct an additional independent integral of motion for a class of three dimensional minimally superintegrable systems with...
Mathematics
- 2018 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Three-dimensional superintegrable systems in a static electromagnetic field
superintegrable(minimally or maximally). We study their quantum spectra and classical maximal superintegrability.
BE - Teoretická fyzika
- 2015 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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On superintegrability of 3D axially-symmetric non-subgroup-type systems with magnetic fields
minimally superintegrable system a new infinite family of higher-order maximally superintegrable systems. These two systems are linked respectively with the caged and harmonic superintegrability. In the linear cas...
Applied mathematics
- 2021 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Superintegrability of separable systems with magnetic field: the cylindrical case
known systems, several new minimally superintegrable systems are found and we show that no quadratically maximally superintegrable ones can exist. We also construct some examples to classify all superintegrable sy...
Applied mathematics
- 2021 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Superintegrable 3D systems in a magnetic field corresponding to Cartesian separation of variables
in momenta which make these systems minimally or maximally superintegrable and constructWe consider three dimensional superintegrable systems in a magnetic field. We study the class of such systems which separate in Cartes...
Applied mathematics
- 2017 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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