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On two superintegrable nonlinear oscillators in N dimensions
Mathematical Physics (math-ph) Exactly Solvable and Integrable Systems (nlin.SI)
2010/11/10
We consider the classical superintegrable Hamiltonian system given by $H=T+U={p^2}/{2(1+\lambda q^2)}+{{\omega}^2 q^2}/{2(1+\lambda q^2)}$, where U is known to be the "intrinsic" oscillator potential ...