ua nt - p h / 05 03 14 4 v 1 1 6 M ar 2 00 5 Constraints of the Dynamic Equations and Lagrangian required by Superposition Principle Of Quantum States

A general form of the dynamical equations is obtained on the requirement of the postulation of the superposition principle of quantum states; hence the constraint on the forms of the Lagrangians is acquired. It shows that the superposition principle requires the continuous transformation group of the Lagrangians to be compact, and that the Lagrangians of elementary particles, such as leptons, quarks, photons and gluons, satisfy this requirement, but the existence of Higgs will break the superposition principle.