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math-ph2023
Dynamical symmetries of the anisotropic oscillator
Akash Sinha, Aritra Ghosh, Bijan Bagchi
It is well known that the Hamiltonian of an -dimensional isotropic oscillator admits an symmetry, making the system maximally superintegrable. However, the dynamical sym…
math-ph2023
Dynamical symmetries of supersymmetric oscillators
Akash Sinha, Aritra Ghosh, Bijan Bagchi
In this paper, we describe the dynamical symmetries of classical supersymmetric oscillators in one and two spatial (bosonic) dimensions. Our main ingredient is a generalized Poisso…