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.)
@HankGussman4 жыл бұрын
At 9:10, there is an error in expression. It sdgould be cos(phi) j-hat & not cos(theta) j-hat
@nunoteixeira21296 жыл бұрын
Congratulations this channel is very good
@nunoteixeira21298 жыл бұрын
Just wondering, are you following Gasiorowicz?
@AdamKlingenberger8 жыл бұрын
+Nuno Teixeira He is following Introduction to Quantum Mechanics by David Griffiths
@fornasm5 күн бұрын
"L as E is a conserved quantity in quantum and classical mechanics so it is interesting..." wow, conserved quantity are key to solve the dynamics of physics ... they are not just interesting they play major meaning in physics ... we use them to "label/identify" physical systems ...
@saidteacher33314 жыл бұрын
Great video Doc. Thanks
@bradwang36484 жыл бұрын
thank you!!! finally understand it!
@seemachahal53755 жыл бұрын
Can we use Lz given in spherical coordinates formula to find eigen value of Lz ..please reply
@astrologysign14093 жыл бұрын
Did u find it plzzz help
@astrologysign14093 жыл бұрын
Did u find it plzzz help
@ifrazali30524 ай бұрын
I don't see a reason why not
@fornasm5 күн бұрын
Prof Carlson always good in concerning about maths, but I would have preferred more attention to Physics and avoid sentences as: " it would be nice to know how our L acts on this general psy(r, theta...) ..." Nice!? ... It seems we are doing all these calculations because it is "nice" ... isn't this Physics?! I thought we do all this to gain better understanding of Physics (geometry, what we experience physically ...). One of the major physical problem is considered here is atomic physics that has spherical symmetry ... this is major reason we are considering L and spherical coordinates etc
@chiranjali88506 жыл бұрын
sir how can we calculate eigen values lx^2 + ly^2 operator