The mystery of relationship of mechanics and field in the many-body quantum world

摘要: We have revealed three fatal errors incurred from a blind transferring of quantum field methods into the mechanics. This had tragic consequences because it produced crippled model Hamiltonians, unfortunately considered sufficient for description solids including superconductors. From there, course, Fr\"ohlich derived wrong effective Hamiltonian, which incorrect BCS theory arose. 1) Mechanical and patterns cannot be mixed. Instead applied to mechanical Born-Oppenheimer approximation we entirely avoid construct an independent standalone pattern. leads new form Bohr's complementarity on level composite systems. 2) correctly deal with center gravity, is under pattern "materialized" in quasipartiles - rotons translons. type relativity internal external degrees freedom one-particle way bypassing degeneracies (gap formation). 3) The possible symmetry apriori loaded but has aposteriori obtained as solution equations, formulated general without translational or any other symmetry. utterly revised view breaking non-adiabatic systems, namely Jahn-Teller effect superconductivity. These two phenomena are synonyms share unique breaking.