Advanced Studies in Theoretical Physics
Vol. 8, 2014, no. 22, 983 - 989
HIKARI Ltd, www.m-hikari.com
http://dx.doi.org/10.12988/astp.2014.48104
The Dirac Equation According to the Virial
Theorem for a Poential
n
kr V
Hasan Arslan
Department of Physics, Bingol University, Bingol, Turkey
Copyright © 2014 Hasan Arslan. This is an open access article distributed under the Creative
Commons Attribution License, which permits unrestricted use, distribution, and reproduction in
any medium, provided the original work is properly cited.
Abstract
The Dirac equation is written for a chosen potential by using the virial theorem.
The derived new form of the Dirac equation does not include a potential term.
Keywords: Virial Theorem, Dirac Equation, Schrodinger Equation
1. Introduction
The application of the virial theorem is done in different fields of science. In this
study we apply it to the Dirac equation. The application of the virial theorem to
the Dirac equation is done for different purposes as can be search in the references
given in this article and in the literature. Previous works are searched. As a result,
the virial theorem is applied in a different way to the Dirac equation.The design of
the paper is as follows: in section 2, the virial theorem used in quantum mechanics
is written; in section 3, the aplication of the virial theorem to the Dirac equation is
done; in section 4, the conclusion due the study is given.
2. The Virial Theorem in Quantum Mechanics
The time dependent Schrodinger Equation is given by
.
H
dt
d
i (1)