Recent content by Chronum

Maybe this is also complicated by the fact that I'm trying to do this in spherical coordinates, when I can potentially do it in cartesian. I'm uploading a snippet of the notes I'm looking at, just making sure I'm not misinterpreting anything. The given relation holds true without the extra term...

Thank you so much. I've never really been introduced the inner nitty gritties of the vector calculus identites/their sources, so this tells me I should probably acquaint myself better with them.

In my EM class, this vector identity for the angular momentum operator (without the ##i##) was stated without proof. Is there anywhere I can look to to actually find a good example/proof on how this works? This is in spherical coordinates, and I can't seem to find this vector identity anywhere...

This is in fact the same rule that the paper author mentioned (I emailed the first author). And then told me to look at Wirtinger derivatives. There are a few assumptions here, but those hold true in this case, and this step has since proceeded to make sense. Many thanks!

https://arxiv.org/pdf/1705.07188.pdf Equation 5 in this paper states that $$\frac{\partial F}{\partial p_i} = 2Re\left\lbrace\frac{\partial F}{\partial x}\frac{\partial x}{\partial p_i}\right\rbrace$$ Here, p_i stands for the i'th element of a vector of 'design parameters' \mathbf{p}. These...

That is correct. I apologize. It was a mistake of plain anticlimactic proportions. And yes, I did end up using Eq(2), and we got the answer after some rather petty algebra and a step of differential equations. Problem solved.

Homework Statement The energy and pressure of black body radiation depend on T and V as Eq(1) & Eq(2). Suppose that the temperature and volume of a box of radiation change adiabatically. Find the relation between dE and dT in this process. Next, using Eq(1), show that T ∝V^-1/3 Homework...

It'll come down to a strange dynamic skill-hunting technocracy. Only the repressive governments, though. No one cares if either party does not fight the other. Trying to unreasonably silence people is a very bad idea with technology, simply because humans become very good at using the...

Well, there is obviously the part about skill, since we humans have this bad habit of working around every failsafe that we have. If a person in the common public could somehow control anything better than the government, that's something to create a massive avalanche of power against any...

Okay, so I got a few things figured out. About 7:30 of sleep a day, plus getting up/falling asleep = 8. Also, I'm still a bit new to this. Suppose there's a particular course, let's say X. Will the course have different lecture segments altogether? Like MWF @11:15 AM lecs for an hour each...

Any specific time I need to sleep? Common consensus on the Internet seems to be 8 hours. Is 16-18 creds possible with 8 hours of sleep?

I won't 'disagree' with you there, but I do have a grudge against philosophy in that I believe that it tries to 'justify itself, more than justify thoughts and knowledge'. Just an opinion I found somewhere on the Internet that I liked. Scientific writing and public speaking would be good...

I've always made it a point to get all problems solved either right after class, or at the most, by the end of the day. Never been a big fan of leaving work undone. How much should I sleep? I read somewhere that sleep is best done is 90-minute increments(something about sleep cycles), and...

Many thanks for everyone's inputs till now. They've been helpful. I managed to find the gen eds, and look into psychology as an option. And also found the physics book in reference. Keep the inputs coming. Much appreciated.

I'm 19, aspiring to go into professional physics, most probably in the astrophysics branch. I'm mostly attracted to gravity (please do not mind the pun), quantum mechanics, string theory, the remote possibility of FTL travel using Alcubierre Drives (or better technology, someday), fusion, et al...