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math-ph2024★ 5 cited
A reappraisal of Lagrangians with non-quadratic velocity dependence and branched Hamiltonians
Bijan Bagchi, Aritra Ghosh, Miloslav Znojil
Time and again, non-conventional forms of Lagrangians with non-quadratic velocity dependence have found attention in the literature. For one thing, such Lagrangians have deep conne…
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…