a consequential result we point out that $osp(2|2)$ superalgebra is realizable as an operator algebra for a quantum mechanical 2-body (nonsupersymmetric) Calogero model.

In this work, we consider two related applications of the deformed Heisenberg algebra, which was introduced by Vasiliev in the context of higher spin algebras [@vas]. Subsequently, the generalized and modified (extended) version of this algebra was used in refs. [@bri1]–[@bri2] under investigation of the quantum mechanical N-body Calogero model [@caloj], related to the (1+1)-dimensional anyons [@lm1; @hlm]. Moreover, the extended version turned out to be useful in establishing the links between Knizhnik-Zamolodchikov equations and Calogero model [@bv] (see the paper [@oper] for further references on this model being an interesting example of one-dimensional quantum integrable systems). The applications of the deformed Heisenberg algebra to be considered here are the construction of the minimal set of linear differential equations for (2+1)-dimensional fractional spin fields (anyons) and the bosonization of supersymmetric quantum mechanics. We also present some speculation on the possibility to ‘superimpose’ these two applications for constructing a supersymmetric (2+1)-dimensional anyon system.

The considerable interest to the (2+1)-dimensional anyons, i.e. particles with fractional spin and statistics [@any1], is conditioned nowadays by their applications to the theory of 