## Deformed quantum mechanics and q-Hermitian operators

Lavagno, A.
##### Description
Starting on the basis of the non-commutative q-differential calculus, we introduce a generalized q-deformed Schr\"odinger equation. It can be viewed as the quantum stochastic counterpart of a generalized classical kinetic equation, which reproduces at the equilibrium the well-known 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.
Comment: 10 pages
##### Keywords
Mathematical Physics, Condensed Matter - Statistical Mechanics, Nuclear Theory, Quantum Physics