A quantum theory model is suggested in which non-Markovian processes p
lay an important part. It is assumed that any quantum abject is formed
of local nuclei, or carriers of particle properties, and a nonlocal w
ave field-the memory carrier. Within the framework of this model, the
solution of the problem of quantum measurements is presented. The Eins
tein-Podolsky-Rosen paradox and the Bell inequality are also considere
d.