Angular momentum eigenfunctions

The angular momentum eigenfunctions can be derived by some complicated change of variables and messing about with angular momentum operators. Skipping most of the details and jumping to the punchline, the eigenfunctions are spherical harmonics. The eigenvalues from this approach are a little different than the results of the algebraic approach, a premonition of spin, the subject of the next lecture. (This lecture is part of a series for a course based on Griffiths' Introduction to Quantum Mechanics. The Full playlist is at th-cam.com/users/playlist?list=...)

[@HankGussman]

At 9:10, there is an error in expression. It sdgould be cos(phi) j-hat & not cos(theta) j-hat

[@nUrnxvmhTEuU]

To make notation in this derivation less confusing, one can write unit vectors as e⃗ᵣ , e⃗ᵩ , e⃗_θ. It is quite standard to use the notation e⃗ⱼ for basis vectors, so it will save a lot of cognitive work. (Sorry for the ugly subscript in “e⃗_θ” but sadly there is no subscript theta in unicode.)

[@saidteacher3331]

Great video Doc. Thanks

[@nunoteixeira2129]

Congratulations this channel is very good

[@bradwang3648]

thank you!!! finally understand it!

[@chiranjali8850]

sir how can we calculate eigen values lx^2 + ly^2 operator

[@nunoteixeira2129]

Just wondering, are you following Gasiorowicz?

[@AdamKlingenberger]

+Nuno Teixeira He is following Introduction to Quantum Mechanics by David Griffiths

[@seemachahal5375]

Can we use Lz given in spherical coordinates formula to find eigen value of Lz ..please reply

[@astrologysign1409]

Did u find it plzzz help

[@astrologysign1409]

Did u find it plzzz help

[@ramansb1008]

thank you

[@safaa0thman134]

Thanks

[@physicschemistry6806]

wow!!!

[@basomahassoun8191]

Maaaaaaaany thanks

[@willsmith4454]

quantum physicist*** Nice video though :)

[@aaqidmasoodi]

are you left handed?