The method of partial wave functions and the structure of time interval between the subsequent quantum transitions

Abstract

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.