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 the equations of nonrelativistic quantum mechanics 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. The calculus of variations is used to prove that the wave function equals twice the allowable action minimum. Einstein’s version of quantum mechanical foundations is thereby determined to be correct one.