SUPERSYMMETRY AND SUPERCOHERENT STATES OF A NONRELATIVISTIC FREE PARTICLE

Coordinate atypical representation of the orthosymplectic superalgebra osp (2/2) in a Hilbert superspace of square integrable functions cons tructed in a special way is given, The quantum nonrelativistic free pa rticle Hamiltonian is an element of this superalgebra which turns out to be a dynamical superalgebra for this system. The supercoherent stat es, defined by means of a supergroup displacement operator, are explic itly constructed. These are the coordinate representation of the known atypical abstract super group OSp (2/2) coherent states. We interpret obtained results from the classical mechanics viewpoint as a model of classical particle which is immovable in the even sector of the phase superspace and is in rectilinear movement (in the appropriate coordin ate system) in its odd sector. (C) 1997 American Institute of Physics.