Maxwell's equations are fundamentally valid across a wide range of frequencies, but their applicability diminishes at quantum scales, where Quantum Electrodynamics (QED) becomes necessary. The discussion highlights that while Maxwell's equations are robust for classical electromagnetism, they do not account for quantum effects, which may be relevant in advanced optics contexts. Participants in the forum suggest that the question may be a trick, as frequency limitations are not typically emphasized in basic electromagnetic theory.
PREREQUISITESStudents studying advanced electromagnetism, particularly those preparing for undergraduate optics exams, as well as educators and researchers interested in the intersection of classical and quantum physics.
Do you see any frequency dependent terms in Maxwell's Equations? Are you familiar with how to work with differential equations like the linked system of Maxwell's Equations?MathPi said:
MathPi said:
Yes I am familiar with solving DEs (I have a math degree). I am also familiar with Maxwells equations (I also have a physics degree). The question is literally as I have posted it - my best guess is that the these laws are not good at the quantum level and QED must be used (I am not too good at QED, I only took one course in subatomic physics).berkeman said:Do you see any frequency dependent terms in Maxwell's Equations? Are you familiar with how to work with differential equations like the linked system of Maxwell's Equations?
https://upload.wikimedia.org/wikipe...quations.svg/500px-Maxwell'sEquations.svg.png
MathPi said:
How are these two statements related? Your OP said nothing about QM, only about frequency limitations...MathPi said:
It's just a guess - trying to come to an answer through discussion. Any constructive input is appreciated :)berkeman said:
What level is this question anyway. From your OP it sounded like it was at a pretty basic level:berkeman said:
Opticians don't do much with QM.MathPi said:
Ah I should have specified the level. The exam is for an undergraduate optics at an advanced EM level (maybe 4th year physics).berkeman said:
MathPi said:
I doubt QED is involved - that's too advanced for this course. Like I said it was just a guess - maybe not a good one! I cannot think of anything else besides that (trying to remember my subatomic physics course).berkeman said:
Yes you might be right. Perhaps I was hoping there was more to it. I'll take it as it is for now unless someone else has any thoughts. Thanks for your input!berkeman said: