Witt-like Operators For Deriving Virasoro Algebra with Central Charge

Operators in the form of integrals containing the Dirac-delta function and the first derivative with respect to coordinate have been constructed on the grounds of quantum mechanics formalism have demonstrated to fulfill Witt algebra. Such operators appear to be connected to total angular momentum and momentum operators, and to some extent to well-known free particle Hamiltonian. Such operators have allowed to develop a noteworthy semi-classical formalism that involve classical definitions. These objects called Witt-like operators when are expressed as polynomials have exhibited to be dependent on quantum mechanics 1-dimension momentum operator. In this manner, Witt-operators have been redefined to explore their involvement in the derivation of Virasoro algebra. After of working out in the closed-form derivation, it was found that these Witt-like operators have reproduced a kind of deformed Virasoro algebra with an interesting connection between the central charge a Grassmann operators that have inherently emerged from the redefinition of Wiit-like operators. The results of this paper are clearly demonstrating that would exist a direct link between theoretical methodologies that extraordinarily describe string theories and non relativistic quantum mechanics, dictated by scalar-based constructions and Schrödinger equation