  Within a superfield approach, we formulate a simple quantum generating
equation of the field - antifield formalism. Then, we derive the Schroedinger
equation with the Hamiltonian whose $\Delta$ - exact part serves as a generator
to the quantum master-transformations. We show that these generators do satisfy
a nice composition law in terms of the quantum antibrackets. We also present an
$Sp(2)$ symmetric extension as to the main construction, with specific features
caused with the principal fact that all basic equations become $Sp(2)$ vector
valued ones.
