THE SIMPLEST RELATIVISTIC EQUATION FOR WAVE FUNCTIONS

Abstract

The Schrodinger equation for the quantum wave function is based on a non-relativistic expression for the energy of a particle. In this supplement, we consider the simplest relativistic equation for wave functions, called the Klein-Gordon equation.

            The Klein-Gordon equation, a quantum relativistic (i.e. satisfying the requirements of relativity theory) equation for particles with spin zero. Historically, it was the first relativistic equation of quantum mechanics for the wave function of a particle y; it was proposed in 1926. Schrodinger (as a relativistic generalization of the Schrodinger equation) and independently of him by the Swedish physicist O. Klein, the Soviet physicist V. A. Fok, the German physicist W. Gordon, etc.