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 nonrelativistic theories the equations are found to violate 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. The calculus of variations is used to show that the wave function equals twice the allowable action minimum. Einstein’s interpretation of quantum mechanical foundations is thereby determined to be the correct one.