The Hamiltonian canonical equation of the systems, the definition, criterion, structure equation and conserved quantities of momentum-dependent symmetries for Lagrange-Maxwell mechanico-electrical systems were presented. This work shows that the function ψ in the structure equation is only an invariant on the symmetry group. A new method to deduce conserved quantities of mechanico-electrical systems is obtained. An example is designed to illustrate these results.
The generating functional for truncated Green functions which is lacking in the field theories, is introduced for the spinor electrodynamics. Such generating functional is shown to be excellent in expressing the scattering matrix and used to construct a formula for the latter. The method is also applicable in principle to other field theories.
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