Twisted Hopf algebras and second quantization
We discuss the role of the Wigner's formulation of the oscillators in the context of second quantization of a quantum mechanical system. We show that Wigner's oscillators naturally induce a Hopf algebra structure on second-quantized operators. Non-commutative quantum mechanics can be reformulated as a Drinfeld twist of the associated Hopf algebra. A few examples will be explicitly discussed.