Phase shift analysis in Nimtz experiments on tunneling and transmission

Abstract

For the wave representing particle traveling through any layer system we calculate appropriate phase shifts comparing two methods. One bases on the standard scattering theory and is well known another uses unimodular but not unitary M-monodromy matrix. Both methods are not equivalent due to different boundary condition - in the one barrier case there exist analytical expressions showing difference. Authors generalize results to many barrier (layer) system. Instead of speaking about superluminarity we introduce into the quantum mechanics so called by us "hurdling problem": can a quantum hurdler in one dimension be faster then a sprinter (without obstacles) at the same distance. Relations between wavefunction arguments and delay or advance are shown for Nimtz systems.