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I kind of liked that proof of the roots of unity. that x^3=1 bit. You make y=0, the unity thing kicks in anyway.

Check your understanding: . . . . 1: H applies on the right state |ψm>, and return Em|ψm>. Em is just and number and get outside of the braket. So Hnm = Em<ψn|ψm> 2: Hnm is a diagonal matrix with values E1,E2...En on its diagonal line. 3: a+|ψm> and returns 1*|ψm+1>. a+nm = <ψn|ψm+1>. 4: a+nm is a off-diagonal matrix with values 1,1,1,1,1.... on the line just below the diagonal line.

Check Your Understanding at 19:30: . . . Part 1: a. Got (QR+RQ-2(µQ)(µR))/2, So it's not a commutator I guess. b. -(µQ)(µR) is an extra term, what does it mean? Part 2: Because µR is just a number, it could be moved outside of the braket to the front, and the rest part is just expectation of Q.

It is now 2024... I already forgot how much difference you can feel between 480p and 720p. This video is much sharper than the previous one.

Check Your understanding: Part 1: C2=0, C3=1, C4=0 Part 2: -a/pi

How do we know that psi-0 is equal to B? Isn't it that we can not use psi-1 or psi-2 equations to solve for psi-0 because they do not include x=0? Then why are we using them to find psi-0?

ruclips.net/video/Lm9SZf2XFCc/видео.htmlsi=5h5AElm81LIXkFdT took your videos

is this is the part of jee syllabus

Ah yes, my go to data set when I'm trying to understand discrete probability distributions. ~sexual partners of the general public

is this guy a dentist on some naruto shit

Had to set the playback speed to 0.75 that was way too fast man

Thank you for these lectures, these make so much more sense!!

Amazing, just check the comments for certain errors or keep the Griffiths book next to you to verify. Thank you for the video

At time 5:17 is said that the average momentum of an electron is zero because the Hydrogen atom is not moving: this is true only as for as the vecton momentum is conserned not as its value though which is constant.

Thank you Dr. Carlson! Just blazed through your PHY4200 playlist to study for my final. You're an amazing teacher and your explanations really helped build intuition.

When you write p-hat squared psi, does that mean p-hat(p-hat(psi)) or does it mean (p-hat(psi))(p-hat(psi)), i.e. squared in the traditional sense. For that matter, it looks like you're using (x-hat)(p-hat)psi = x-hat(p-hat(psi)), otherwise they would commute. But earlier, you definitely treated (p-hat)(p-hat) as p-hat squared. Can someone clarify please?

why isn't at 22:30 the phi function an arbitrary sum of opposite exponentials as opposed to just one exponential nonetheless m ends up a whole number

so from the wave animation the wavelet flattens out and there is no more wavelet and the probability animation suggest that the particle can be anywhere. Is that right?

at around 6:00 you assume the function only contains sines and cosines instead of letting it be complex exponentials, it ends up the same because once you assume those complex exponentials form an even function, then you arrive at sine anyways

Maaaaaaaaaany thanks

YAYY the static wavey has no momentum YUPPIIEEE

What the fuckkkkkkkkkkkkk 😢

that's what I neeeeeeed!

why can you write a+ in the left side? isn't that implying that the ladder and the hamiltonian commute? (which they seem not to)

you mixed up minus and plus signs in the opperators, but ill let it slide ;)

Thank you about the last part in particular. It does seem quite fishy, but it is very necessary in QFT. That one part caught me by surprize.

5:20 Maybe the correct approach is to say: It's NOT a point particle. If you do a measurement that collapses the wave function, then its position collapses to a point. But the rest of the time, it's a spread out thing. How does quantum field theory describe the electron? NOT as a point particle, right? But as a spread-out disturbance in a field, right? So maybe SPIN is some kind of phenomenon in what the electron field is doing.

Maaaaaaaany thanks

Great lecture. Thank you!

19:00 "It SORT OF goes to zero". I'm thinking it might DEFINITELY GO TO ZERO if we use the Lebesgue Integral.

You saved me man, thank you so much

3:00 Eigenvectors means "characteristic vectors" in this context.

3:44 am and 6 hours till ny final

Just pointing out since youtube has auto-generated video chapters. The sigma are called the "Pauli matrices", NOT the "polymatrices" as the caption algorithm has referred to them as. Just to clear up any potential confusion for newcomers.

Dr. Carlson - you refer to "the text book" in your videos. Who is the author and what is the edition? Thank you!

still the BEST video

41:13 The subscript for the associated Laguerre polynomial is q+p NOT q-p. Common rookie mistake!

3:25 Kittenic energy? I prefer the Pupperic energy, myself 🙂 (But only if it's a Smol amount of Pupperic energy).

Interesting, personal i like the U shape wave point before the transition to the next energy levels. I seen where using F transformer using all wave frequencies you can make U shape waves. 31:20

Attached is my video that made be a useful model of your lecture. ruclips.net/video/wrBsqiE0vG4/видео.htmlsi=3RF3qV49JIG_gtNN

25:30 I can see how the TOTAL "area under the curve" adds up to zero. Because you've got as much area above the x axis as you have below it. But TECHNICALLY, I can see how... you've got the Riemann integral. Then you've got Riemann integrals with the limit as the upper and lower limits of the integral tend to infinity - and THAT DOESN'T CONVERGE in this case. BUT.... I imagine that the LEBESGUE integral can come to the rescue here and fix things nicely! 🙂

17:25 Instead of putting e to the -x and e to the x, it should say e to the -1 and e to the 1, i.e. 1/e and e.

This model might make some aspirin students a nice science fair project. ruclips.net/video/wrBsqiE0vG4/видео.htmlsi=3RF3qV49JIG_gtNN

thank you thank you thank you thank you thank you!!!!!!!!!!!!!!!!!!

Well done. Check out my model and test video. For best results sample the multiverse with care.

5:20 Shouldn't there be a square root on that 1/2pi?

30:20 Looks like it's on fire!

Found this channel from a rhcp guitar cover, interesting

2:50 When you drew that tent... MASSIVE FLASHBACK. Scout camp. Putting up tents. 34 years ago!

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