Second order superintegrable systems in three dimensions.
Singular Bohr–Sommerfeld rules for 2D integrable systems
Singular eigenfunctions of Calogero-Sutherland type systems and how to transform them into regular ones.
Spectrum generating functions for oscillators in Wigner's quantization
The n-dimensional (isotropic and non-isotropic) harmonic oscillator is studied as a Wigner quantum system. In particular, we focus on the energy spectrum of such systems. We show how to solve the compatibility conditions in terms of 𝔬𝔰𝔭(1|2n) generators, and also recall the solution in terms of 𝔤𝔩(1|n) generators. A method is described for determining a spectrum generating function for an element of the Cartan subalgebra when working with a representation of any Lie (super)algebra. Here, the...
Structure theory for second order 2D superintegrable systems with 1-parameter potentials.
Superintegrable oscillator and Kepler systems on spaces of nonconstant curvature via the Stäckel transform.
Supersymmetric representations and integrable fermionic extensions of the Burgers and Boussinesq equations.
Symmetries of spin Calogero models.