An electromagnetic wave (like a propagating photon) is known to carry it's electric and magnetic field-vectors perpendicular and each depending on the differential change of the other thus "creating" each other and therefore appearing in-phase and reaching their minima/maxima together. I'm interested to know whether there was any uncertainty as a principle discussed in the underlying principles of the Maxwell equations, like $\Delta E \Delta B \geq \hbar$. I appreciate links, hints and answers.
[Physics] Uncertainty-principle and the Maxwell formalism of electromagnetic waves
electromagnetic-radiationelectromagnetismheisenberg-uncertainty-principlemaxwell-equations
Best Answer
One can see the consistency with the Heisenberg Uncertainty Principle by the definition of wavelength and frequency of the electromagnetic wave:
lamda*nu/c=1 where c is the velocity of light
Multiplying both sides by h and considering lamda as delta(x) and p=h*nu/c for a photon,
lamda*h*nu/c~h
delta(x)*delta(p)~h