  A general quantum-mechanical setting is proposed for the field-antifield
formalism as a unique hyper-gauge theory in the field-antifield space. We
formulate a Schr\"odinger-type equation to describe the quantum evolution in a
"current time" purely formal in its nature. The corresponding Hamiltonian is
defined in the form of a supercommutator of the delta-operator with a
hyper-gauge Fermion. The initial wave function is restricted to be annihilated
with the delta-operator. The Schr\"odinger's equation is resolved in a closed
form of the path integral, whose action contains the symmetric Weyl's symbol of
the Hamiltonian. We take the path integral explicitly in the case of being a
hyper-gauge Fermion an arbitrary function rather than an operator.
