  We present the formulation of non relativistic quantum mechanics in the
extended space (u,x,t) where x and t are coordinates of particles and time, and
u - an additional real parameter that corresponds to generalized virial - an
integral over path on potential energy of the particle. If the u value is
defined, the state of a particle is described by the partial wave function
F(u,x,t) (PWF). The wave function is obtained from F(u,x,t) by special integral
transform. The "drift" wave equation (DWE) for F(u,x,t) is introduced. The
integral invariants of F(u,x,t) evolution are obtained. The sets of orthonormal
solutions for stationary DWE are obtained; the moments of distribution of are
calculated. The process of "aging" of PWF is described. Effective time interval
necessary for the creation of the state is calculated within the limits of PWF
formalism. The structure of the time interval between the processes of
consequent quantum transition is investigated. The theoretical basis for the
describing counterfactual situations in quantum mechanics is examined.
