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.
📌 3 Key Takeaways
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Objective & Hypothesis:The validity of Ehrenfest's theorem with its classical correspondence has been justified for the manifestly covariant equations of dyons.
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Key Findings & Data: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.
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Conclusion & Impact: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.
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.
KARNATAK, G., BISHT, P. S., NEGI, O. P. S. (2016). Validity of Ehrenfest's theorem for generalized fields of dyons. Turkish Journal of Physics, Cilt: 40 - Sayı: 3, 244–255. https://ajindex.com/articles/723949