  A unifying perspective on the Moyal and Voros products and their physical
meanings has been recently presented in the literature, where the Voros
formulation admits a consistent physical interpretation. We define a star
product $\star$, in terms of an antisymmetric fixed matrix $\Theta$, and an
arbitrary symmetric matrix $\Phi$, that is a generalization of the Moyal and
the Voros products. We discuss the quantum mechanics and the physical meaning
of the generalized star product.
