J. Jayaraman et al., A SUSY formulation a la Witten for the SUSY isotonic oscillator canonical supercoherent states, J PHYS A, 32(38), 1999, pp. 6643-6652
We extend Witten's supersymmetry (SUSY) formulation for Hamiltonian systems
to a system of annihilation operator eigenvalue equations associated with
the SUSY isotonic oscillator, which, as we show, define SUSY canonical supe
rcoherent states containing mixtures of both pure bosonic and pure fermioni
c counterparts. Specifically, a graded Lie algebra structure analogous to W
itten's SUSY quantum mechanical algebra is realized in which only annihilat
ion operators participate, all expressed in terms of the Wigner annihilatio
n operator of a related super-Wigner oscillator system.