Validity of Ehrenfest's theorem for generalizedfields of dyons

Authors

GAURAV KARNATAK
PRAVEEN SINGH BISHT
OM PRAKASH SINGH NEGI

DOI

10.3906/fiz-1512-11

Abstract

The validity of Ehrenfest's theorem with its classical correspondence has been justified for the manifestly covariant equations of dyons. We have also developed accordingly the Lagrangian formulation for electromagnetic fields in a minimum coupled source giving rise to conserved current of dyons. Applying the Gupta subsidiary condition we have extended the validity of the Ehrenfest's theorem for $U\left(1\right)\times U\left(1\right)$ Abelian gauge theory of dyons. It is shown that the expectation value of the quantum equation of motion reproduces the classical equation of motion, which is the generalized form of Ehrenfest's theorem in quantum field theory.

Keywords

Dyons, Ehrenfest's theorem, Lagrangian, quantum field theory, electromagnetic fields

First Page

244

Last Page

255

Recommended Citation

KARNATAK, GAURAV; BISHT, PRAVEEN SINGH; and NEGI, OM PRAKASH SINGH (2016) "Validity of Ehrenfest's theorem for generalizedfields of dyons," Turkish Journal of Physics: Vol. 40: No. 3, Article 6. https://doi.org/10.3906/fiz-1512-11
Available at: https://journals.tubitak.gov.tr/physics/vol40/iss3/6