Minimal bosonization of double-graded quantum mechanics

The superalgebra of [Formula: see text]-graded supersymmetric quantum mechanics is shown to be realizable in terms a single bosonic degree freedom. Such an approach directly inspired by description the corresponding framework Calogero–Vasiliev algebra or, more generally, generalized deformed oscillator algebra. In case superalgebra, central element text] has property distinguishing between degenerate eigenstates Hamiltonian.