Yo bless this prof he's singlehandedly saving my grades
@doit98544 жыл бұрын
I couldn't help but believe that I was learning math with Topher Grace.
@doit98544 жыл бұрын
I was just watching this video (again) and realized I've already watched it... because my dude here sounds like Topher Grace.
@someone20ify10 жыл бұрын
if this is intro then what is inside? O.o
@muddassirghoorun43224 жыл бұрын
Please confirm if answers for "Check your understanding" are 50 and 66
@the-fantabulous-g4 жыл бұрын
Yes
@rajupdl64 жыл бұрын
yes you are correct
@oraange4 жыл бұрын
you are right
@FlintPet4 ай бұрын
How did you get 66?
@the-fantabulous-g4 жыл бұрын
For Check Your Understanding, did anyone else get 26 and 66? Edit: Muddassir has it correct, it is 50 and 66. Work listed in comment below.
@muddassirghoorun43224 жыл бұрын
50 and 66
@anasfarid24923 жыл бұрын
26 and 66
@jacobmoriarty23752 жыл бұрын
@@muddassirghoorun4322 40 and 66
@akashagnihotri24693 жыл бұрын
I don't quite understand what's happening at 16:45, what exactly does delta-ij mean? If it's an orthonormal basis, isn't every vector orthogonal to each other, so every inner product = 0 (ie: = 0)?
@edubski36083 жыл бұрын
I think it's the fact that he's writing x,y,z as unit vectors that gives way for an orthonormal basis. Not every vector is orthogonal to each other, that's why we use the Kronecker delta to represent. Assuming the vectors are normalized, this function will "filter" xj's that are orthonormal to xi's, from my understanding at least. It's very reminiscent of Fourier transforms, however we just started learning that in class so not sure how much help I can provide there. I'm pretty new to this subject so please correct me if I've made any errors! Cheers.
@akashagnihotri24693 жыл бұрын
@@edubski3608 I'll be honest, I understood very little of what you said but that's because I am pretty new to this myself. And I don't know what's a "Kronecker delta." I guess I have a long way to go but I did understand most of the video, so I think he's a really good teacher lol. But thanks for your help!
@edubski36083 жыл бұрын
@@akashagnihotri2469 If you're trying to learn this subject, this series in particular follows the first three chapters from Griffiths' Intro To Quantum Mechanics, I would highly recommend you pick up a copy (2nd or 3rd edition, whichever is cheaper) used. As far as learning more about vector orthogonality, doing more research on inner products in particular along with fourier transforms, should provide you with some more background. Keep at it!
@turboleggy3 жыл бұрын
What if both the vectors are x1? A vector is not orthogonal to itself. We are othronomal basis so =1.
@edubski36083 жыл бұрын
@@turboleggy I don't think I'm 100% sure on what you're asking, however it is correct to assume the inner product of x1 and x1 would be 1. You're basically asking how much of x1's state coincides with x1's state, which as we know, should be all of it.