The Conservation Laws in Quantum Mechanics

Abstract

When the theoretical foundations of Einstein’s quantum theory of radiation are compared with Heisenberg’s and Feynman’s theories of nonrelativistic quantum mechanics they are found to violate the conservation laws. The deficiencies are corrected by introducing Hamilton’s principle S = ∫ Ldt and applying the methods of quantum field theory to derive relativistic equations of motion. Based on the calculus of variations proof is given that the wave function equals twice the allowable action minimum.