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20142020
most citedOn rotationally invariant integrable and superintegrable classical systems in magnetic fields with non-subgroup type integrals

12 citations · 47 across the 11 of their papers we have counts for

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Showing 2020Show all

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math-ph2020

Algebraic discretization of time-independent Hamiltonian systems using a Lie-group/algebra approach

Sébastien Bertrand

In this paper, time-independent Hamiltonian systems are investigated via a Lie-group/algebra formalism. The (unknown) solution linked with the Hamiltonian is considered to be a Lie…

math-ph2020★ 12 cited

On superintegrability of 3D axially-symmetric non-subgroup-type systems with magnetic fields

Sébastien Bertrand, Ondřej Kubů, Libor Šnobl

We extend the investigation of three-dimensional (3D) Hamiltonian systems of non-subgroup type admitting non-zero magnetic fields and an axial symmetry, namely the circular parabol…