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:
Maxwell's equations are a set of four fundamental equations that describe the behavior of electric and magnetic fields, and their interactions with matter. They were developed by James Clerk Maxwell in the 19th century and form the basis of classical electromagnetism.
Maxwell's equations are important because they provide a complete and accurate description of the behavior of electric and magnetic fields. They have been extensively tested and are considered one of the most successful theories in physics. They also paved the way for the development of modern technologies such as radio, television, and the internet.
Maxwell's equations are valid over a wide range of frequencies, from extremely low frequencies (such as those used in power transmission) to very high frequencies (such as those used in wireless communication). In general, they are valid for frequencies up to the infrared range, which is about 300 GHz.
Yes, there are some limitations to Maxwell's equations. They do not take into account quantum effects, and therefore are not applicable at very small scales (such as at the atomic level). They also do not account for the effects of relativity, and thus are not accurate in situations where objects are moving at very high speeds.
Maxwell's equations are closely related to other branches of physics, such as optics, thermodynamics, and quantum mechanics. They are also a key component of the theory of electromagnetism, which is one of the four fundamental forces in the universe. Additionally, they have played a crucial role in the development of technologies that have shaped our modern world.