/sci/ - Science & Math

You are still banned, faggot.

What is the operator L_z in cartesian coordinates?

>>4380261
Can you please tell me how I can man the fuck up?

>>4380266
>>4380266
I know what it is I just need it in spherical polar please

>>4380298
I wish I knew. I posted with your trip last week and got banned instantly.

;_;

>>4380304
I don't know what it is, so post the shit and let me see if I can help you.

>>4380317
How do you know my trip

>>4380322
Everyone knows your trip, Robert.

Dumb

>>4380330
I know who you are too please don't come after me

>>4380334
Who am I?

>>4380339
Your that guy in my college who was in fluid dynamics last semester that said he came on here

>>4380352
lol I'm not even amerifat.

>>4380352
OP LOVES DICK

you want the general expression for <span class="math">L_{z}[/spoiler]? alright...

spherical polar coordinates: <span class="math">x = r \sin \theta \cos \phi[/spoiler], <span class="math">y = r \sin \theta \sin \phi[/spoiler], <span class="math">z = r \cos \theta[/spoiler], <span class="math">r^{2}=x^{2}+y^{2}+z^{2}[/spoiler], <span class="math">\theta = \tan^{-1} \frac{(x^{2}+y^{2})^{1/2}}{z}[/spoiler], <span class="math">\phi = tan^{-1} \frac{y}{x}[/spoiler]

then we find
<div class="math">\frac{\partial}{\partial y}</div>
<div class="math">\frac{\partial}{partial x}</div>

thus

<div class="math">x \frac{\partial}{\partial y} - y \frac{\partial}{\partial x} = \frac{xy-yx}{r} \frac{\partial}{\partial r} + \frac{z(xy-yx)}{r^{2} (x^{2} + y^{2})^{1/2}} \frac{\partial}{\partial \theta} + \frac{x^{2} + y^{2}}{x^{2} + y^{2}} \frac{\partial}{\partial \phi} = \frac{\partial}{\partial \phi}</div>

so in polar coordinates we have <span class="math">L_{z} = -i \hbar \partial / \partial \phi[/spoiler]

you can figure it out from here. (hint: think of the commutator of <span class="math">L_{z}[/spoiler] and <span class="math">\phi[/spoiler])

you want the general expression for <span class="math">L_{z}[/spoiler]? alright...

spherical polar coordinates: <span class="math">x = r \sin \theta \cos \phi[/spoiler],
<span class="math">y = r \sin \theta \sin \phi[/spoiler], <span class="math">z = r \cos \theta[/spoiler],
<span class="math">r^{2}=x^{2}+y^{2}+z^{2}[/spoiler], <span class="math">\theta = \tan^{-1} \frac{(x^{2}+y^{2})^{1/2}}{z}[/spoiler],
<span class="math">\phi = tan^{-1} \frac{y}{x}[/spoiler]

then we find
<div class="math">\frac{\partial}{\partial y}</div>
<div class="math">\frac{\partial}{\partial x}</div>

thus

<div class="math">x \frac{\partial}{\partial y} - y \frac{\partial}{\partial x} = \frac{xy-yx}{r} \frac{\partial}{\partial r} + \frac{z(xy-yx)}{r^{2} (x^{2} + y^{2})^{1/2}} \frac{\partial}{\partial \theta} + \frac{x^{2} + y^{2}}{x^{2} + y^{2}} \frac{\partial}{\partial \phi} = \frac{\partial}{\partial \phi}</div>

so in polar coordinates we have <span class="math">L_{z} = -i \hbar \partial / \partial \phi[/spoiler]

you can figure it out from here. (hint: think of the commutator of <span class="math">L_{z}[/spoiler] and <span class="math">\phi[/spoiler])

>>4380257
>>4380298
reported for ban evasion

>>4380810
>http://archive.installgentoo.net/sci/thread/S4380257#p4380802
reported for pony

>>4382328
reported for shitbumping

>>4382331
reported for filing false reports

>>4382335
reported for reporting legit reports

>>4382336
reported for reporting reports

>>4382337
reported for inane, asinine and repeated trolling garbage

>>4382340
reported for disagreeing with moderator policy

why can't go back to 2010 /sci/, it was good back then...

Please Inurades and Josef come back

>>4382344
reported for wanting an underage b& and an autist back

i'm trying to get the ponyfag autist and OP !UofeyHYdiM out of here and so far its working

>>4382344
>Inurdaes
An underageb& with no science education who came here solely for off-topic threads.
>Josef
An arrogant douchbag who posted math to brag about his skills without being helpful.

>>4382344
/sci/ is much better now. You can enjoy the presence of a genius.

>>4382353
Reported.

>>4382356
Well my dear friend, show me the rule that doesn't allow being a genius on /sci/.

>>4382351

typical guy buttdevastated for not reaching that level of math skill so they consider that whoever has that level is posting just to brag

>>4382361
http://archive.installgentoo.net/sci/thread/S4358805#p4358875

>>4382363
reported for wanting an autist back

>>4382364
I telepathically contacted the mod and he admitted being wrong.

>>4382363
No matter how much I lack of math skills compared to him, Josef was an arrogant douche.

>>4382376
this

>>4382348
>>4382328
>reported for pony
I still do not understand what is wrong with posting some random image if the content of the post is entirely on topic. The moderator's reasoning is flawed, considering there's at least a pony in every thread on /g/ and not a single person is ever banned.

>>4382408
Complaining about 4chan or its staff on the imageboards is a bannable offense.

>>4382412
Really, faggot?

>>4382415

Rule 8

http://www.4chan.org/rules

>>4382408
+1

>>4382423
reported for inane pony trolling

>>4382428

this is a serious board guys, stop posting pictures of cartoons aimed at children. We gotta give a good image.

>>4382436
A genius is never upset. I am untrollable.

Cartoon horses are an offense against SCIENCE.

>>4382442
Have some math

>>4382451
>>4382443
samefag reported for tiresome and hackneyed trolling garbage

>>4382453
>>4382436
>>4382423
reported for pony

>>4382466
Samefag? Comparing a SCIENTIST with a troll? Are you insanely retarded, you enemy of SCIENCE?

>>4382467
reported

>>4382451
your namesake likes colored horse.

>>4382478
What blasphemy, to defile the holy prophet of SCIENCE.

>>4382482
reported

>>4382478
reported for pony

>>4382485
Reporting for SCIENCE? You anti-SCIENTIST deserve a deep and cold enema.

>>4382486
>deserve a deep and cold enema.
reported for inane garbage

>>4382488
Reported not understanding SCIENCE.

>>4382488
Do you report people IRL? lol

>>4382496
Reporting people IRL would mean calling the police. 4chan is not real life.

>>4382498
Then why u mad bro?

>>4382485
reported for filing false reports

>>4382496
>>4382498
>>4382504
reported enjoy your bans

>>4382505
reported for pony

>>4382505
>inane pony garbage

>>4382514
Reported for improper saging.

>>4382522
reported for filing false reports

>>4382518
reported for spam

>>4382530
Reported for overuse of reporting function.

>>4382530
SCIENCE is not spam, you fucking retard.

>>4382532
reported for filing false reports

>>4380810
Hey thanks for the help I think I got it