GENERALIZATION OF SUPERSYMMETRIC QUANTUM-MECHANICS

A generalization of supersymmetric quantum mechanics can be obtained i n two different ways using the theory of the q-deformation of the osci llator algebra, according to whether q is a root of unity or not. In t he first case the fractional supersymmetric quantum mechanic is betwee n bosons and q-bosons. In the second case we obtain the deformed super symmetric quantum mechanics by considering bosons and a deformed trunc ated oscillator algebra.