Patrick VAUDON
University of Limoges, Limoges
Title: An analysis of new exact solutions of Dirac equation in terms of standing waves mode
Biography
Biography: Patrick VAUDON
Abstract
Dirac equation is one of the fundamental equation of quantum mechanics. Classical solutions in terms of spinors are well known, but these spinors are never completely developped on a base of standing wave modes. Using methods issued from electromagnetism, a complete research of solutions of Dirac equation in terms of standing waves mode is presented. It is shown that the whole solution needs the resolution of an homogeneous system of sixty four equations and then sixty four unknows. Explicit solutions will be presented. The verification of their exactitude will be demonstrate in a convincing and straightforward manner. It will be shown that these exact solutions can have an energy interpretation and that such an interpretation highlight in a new manner the concept of wave-particle and the principle of indeterminacy.