Andrea Lavagno (Torino):

Generalized noncommutative quantum dynamics

Abstract:

Starting on the basis of the noncommutative q-differential calculus, we study a generalized q-deformed Schroedinger equation. Such an equation of motion can be viewed as the quantum stochastic counterpart of a generalized classical kinetic equation, reproducing the q-deformed exponential stationary distribution. In this framework, q-deformed adjoint of an operator and q-hermitian operator properties occur in a natural way in order to satisfy the basic quantum mechanics assumptions.