  We show the natural relation between the Wigner Hamiltonian and the conformal
Hamiltonian. It is presented a model in (super)conformal quantum mechanics with
(super)conformal symmetry in the Wigner-Heisenberg algebra picture $ [x,p_{x}]=
i(1+c{\bf P})$ (${\bf P}$ being the parity operator). In this context, the
energy spectrum, the Casimir operator, creation and annihilation operators are
defined. This superconformal Hamiltonian is similar to the super-Hamiltonian of
the Calogero model and it is also an extension of the super-Hamiltonian for the
Dirac Oscillator.
