TITLE:
Phase Velocity and Rest Energy of Schrödinger Equation Seen from Neutrino Oscillations
AUTHORS:
Shan Zhou
KEYWORDS:
De Broglie Relation, Phase Velocity, Neutrino Oscillation
JOURNAL NAME:
Journal of Modern Physics,
Vol.7 No.6,
March
21,
2016
ABSTRACT: The phase velocity is discussed using de Broglie relations and Schrödinger equation. We argue that in non-relativistic quantum mechanics the Hamiltonian should be added by a rest-energy term when Schrödinger equation is used to study the interference between particles of different masses. From neutrino oscillation experiments, we find that the phase velocity can be related to a measurable quantity (the flavor transition probability), therefore, the phase factor originated from the rest energy can’t be omitted. Correspondingly, the energy in de Broglie relations should always be total energy rather than kinetic energy, contrary to some textbooks of quantum mechanics.