  Quantum tunneling is considered from the point of view of local realism. It
is concluded that a quantum object tunneling through a potential barrier cannot
be interpreted as a point-like particle because such an interpretation
generates a contradiction with the impossibility of faster-than-light motion.
Such a contradiction does not arise if a quantum object is considered as a
continuous medium formed by the fields of matter. The dynamics law of the
mechanical motion of these matter fields is derived from the quantum evolution
law in the path integrals form. The analysis of tunneling shows that this
dynamics law has a form of the principle of least action with a complex time
variable. The approach used here is not only a physical interpretation of
quantum tunneling consistent with special relativity but is also applicable to
the description of a wide range of quantum phenomena for which traditional
research methods are impracticable.
