Quantum theory of the optical, atomic and nuclear Goos-Hanchen shift

摘要

The aim of this work is to show tunneling and transmission influence on the photon as well as nuclear scattering theory basic concepts and quantities. To reach this goal we discuss the fundamental tunneling theory from the monodromy point of view, as outlined in [3] (abbr.(J-K)), not yet applied in calculations and not even used in academic courses. Usually it is possible to obtain tunneling time if the tunneling particle distance and speed are known. However, the distance as seen by the particle can be different from that seen by the external observer. This unsolved problem, and how to find that distance on the basis of the wave-function or its phase, occurs at all calculation steps during scattering theory modification. Our monodromy theory is applied to optical tunneling to get general Goos-Hanchen (abbr. G-H) shift formula for a three-layer system with refraction indexes n_0, n_1, n_2.