Jacobi last multiplier and two-dimensional superintegrable oscillators
In this paper, we examine the role of the Jacobi last multiplier in the context of two-
dimensional oscillators. We first consider two-dimensional unit-mass oscillators admitting a …
dimensional oscillators. We first consider two-dimensional unit-mass oscillators admitting a …
Dynamical symmetries of supersymmetric oscillators
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 Poisson …
in one and two spatial (bosonic) dimensions. Our main ingredient is a generalized Poisson …
First integrals of some two-dimensional integrable Hamiltonian systems
In this paper, we discuss some results on integrable Hamiltonian systems with two degrees
of freedom. We revisit the much-studied problem of the two-dimensional harmonic oscillator …
of freedom. We revisit the much-studied problem of the two-dimensional harmonic oscillator …