2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/51753Conserved operator quantities in quantum field theory can be defined via the Noether theorem in the Lagrangian formalism and as generators of some transformations. These definitions lead to generally different conserved operators which are suitable for different purposes. Some relations involving conserved operators are analyzed.11 LaTeX pages. The packages AMS-LaTeX and amsfonts are required. The paper generalizes some results from hep-th/0206008 and hep-th/0211153. For related papers, visit the "publication" pages at http://theo.inrne.bas.bg/~bozho/High Energy Physics - TheoryMathematical PhysicsQuantum Physicstext