Angular momentum eigenvalues

📚 Angular momentum is a familiar quantity from classical mechanics. In quantum mechanics, angular momentum has some distinctive features that make it even more interesting than its classical counterpart. In this video, we derive the possible angular momentum eigenvalues and learn that they cannot take an arbitrary value, but instead are quantized.

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Director and writer: BM
Producer and designer: MC

[henryhop]

I cant believe how clear this explanation was. I have worked through the entire section of the angular momentum topic up until this video so far. Im completely mindblown. I have struggled through so many theoretical physics lecturers with arrogant Professors and, from an teaching point of view, incompetent phd students in my bachelors degree.... Im close to tears right now. This reignites my believe in Physics education. Keep up the great work Professor M does Science team! :.)

[stranger]

The books had me confused with all those legendre equations..thanks for saving me...very lucid explanation.. truly marvellous work

[guoxinxin]

This is a truely beautiful show of quantum mechanics!

[joaovictormacedosales]

This channel is incredible! You are doing some great work by building the theory from scratch. With these lectures and Cohen-Tannoudji's book under the belt, I feel tremendously motivated to study. Lots of gratitude from Brazil!

[richardthomas]

I think this is your best angular momentum video, and that is truly saying something. I am working through old QM textbooks by Gasiorowiscz and Merxbacher, and honestly (although I love those texts) your videos are basically a beacon of clarity. I find I can work problems much much better after watching your videos, because you extract the key concepts in a clear, concise fashion (which cannot always be said of the texts). Again, Thank You for all the hard work you obviously put into these videos.

[jayminshah]

You guys are probably going to save my life....Thanks

[kunalshukla]

That sound in the beginning when science comes down frightens me everytime.

[amirrezaadham]

this is the best video that I have watched until now about quantum. thank you so much. :)

[shashankarunkumar]

I wonder why Griffiths made things more complicated by covering Hydrogen atom before angular momentum. I really liked your approach, and it has made spherical harmonics much clearer to me. Thanks for the amazing videos, I appreciate all the work put into this!

[gabriellarata]

Hi, I've just found your videos last night and they are brilliant! It has been very helpful for me because I'm having only online classes right now and sometimes I just get lost in the middle of the class. Your videos about the angular momentum are helping me get through this.
Thank you very much for your work!! Sorry for my bad english!

[armalify]

This channel must have more subscribers !

[noelwass]

Excellent exposition and thoroughly enjoyable!

[bhoopendragupta]

Thanks for this beautiful explanation. You made this so easy. 👍

[shayanmoosavi]

Wow, now I completely understand why angular momentum is quantized. Griffith made it look like it completely came out of the blue and his arguments usually won't satisfy me, I'll have to go to shankar for a more rigorous explanation. Thank you so much for the very clear explanation, you've gained a new subscriber :)

Do you have any recommendations for an undergraduate QM textbook other than shankar that also has a clear explanation?

[universum-theuniverseexpla]

these are high quality physics videos, great job!

[crimemastergogo]

You are doing great job.Please also upload lectures on perturbation theory

[MrZzzjjj]

Wow I wish I discovered this channel sooner.

[mdsspace-time]

Please make videos on Spin, thanks for your awesome classes

[dutonic]

21:22 Writing this because it took me a while to figure out why μ, max = (n/2)ħ. The leap in logic was not obvious to me at all. The reason why this is, is because n is a sum of both p and q, which are representative of single intervals of ħ. Without diving n by 2, n would be representative of intervals across this number line of 2ħ instead of ħ, which is what we want.

[andreapaolino]

Awesome content! Is there any chance you will ever upload some videos on the addition of angular momentum?