0:24: 📚 The Schrodinger equation is solved using separation of variables, a technique for solving partial differential equations. 12:59: 🔑 The relationship between F(T) and G(X) in the partial differential equation requires both F(T) and G(X) to be constant. 27:40: 📚 The Schrodinger equation in quantum mechanics is a simple time evolution equation with a more complicated space part. 40:19: 💡 The time independent Schrodinger equation relates the Hamiltonian operator to the spatial part of the wave function multiplied by a separation constant. 52:41: ⚛ The Schrodinger equation is linear, meaning that if two functions solve the equation, their sum also solves the equation. 1:08:13: 📝 The integral of X1 star X2 is zero, while the integrals of X1 star X1 and X2 star X2 are both one. 1:20:07: 📚 The X function describes a particle attached to a spring, with potential energy increasing as the particle moves away from the origin. 1:33:18: 📈 The potential function tells us about the behavior of the wave function in terms of direction, curvature, and speed. 1:46:53: 📚 The system has a discrete set of allowed energies. 2:01:19: ✅ Orthogonality of vectors can be defined as two vectors being at 90 degrees to each other. 2:15:06: ✨ The time independent Schrodinger equation allows us to express any function as a sum of stationary states, providing a complete basis set. 2:28:24: 📚 The given function is split into two parts for better expression, and the integral is evaluated using the initial conditions. 2:42:29: 📊 The plot shows the time dependence of the probability density calculated with the first 20 stationary state wave functions. Recap by Tammy AI
I tried listening to audiobooks to fall asleep to but had to rewind in the morning coz I hadn't a clue what happened while I was asleep, maybe listening when awake will be more beneficial?
If you wanna understand quantum mechanics you should understand the order of the number not alfabet. Make linear algebra first and you going to understand mechanics
So you're providing these videos for study while they sleep .....and they would be able to read all the mathematical explanations becaaaaaause......... 🤦♂️
Till now you haven't mentioned about eugen value and eugen vectors. Lots of complications in your lectures can be eliminated by use of those terminologies
‼Subscribe: bit.ly/SleepAndStudy
Trerzzute zer
@@carlossebastianmirandagarc6134 to Vav of bezz zand z And
5:52 funniest part
"Hopefully you're familiar with some of the terms I'm using here." 😂😂😂😂
I have a request: lectures on high level nuclear physics. You know, for a friend.
yea, can we have a lecture about how to create a nuclear reactor? just because, don't worry about it!
@@sierra121cyan can I copy your notes later?
@@sierra121cyan can i borrow your nuclear reactor
Oh God, you have a friend who wants to know about nuclear physics? How embarrassing
@@AvalanchePerformance try irrigation
0:24: 📚 The Schrodinger equation is solved using separation of variables, a technique for solving partial differential equations.
12:59: 🔑 The relationship between F(T) and G(X) in the partial differential equation requires both F(T) and G(X) to be constant.
27:40: 📚 The Schrodinger equation in quantum mechanics is a simple time evolution equation with a more complicated space part.
40:19: 💡 The time independent Schrodinger equation relates the Hamiltonian operator to the spatial part of the wave function multiplied by a separation constant.
52:41: ⚛ The Schrodinger equation is linear, meaning that if two functions solve the equation, their sum also solves the equation.
1:08:13: 📝 The integral of X1 star X2 is zero, while the integrals of X1 star X1 and X2 star X2 are both one.
1:20:07: 📚 The X function describes a particle attached to a spring, with potential energy increasing as the particle moves away from the origin.
1:33:18: 📈 The potential function tells us about the behavior of the wave function in terms of direction, curvature, and speed.
1:46:53: 📚 The system has a discrete set of allowed energies.
2:01:19: ✅ Orthogonality of vectors can be defined as two vectors being at 90 degrees to each other.
2:15:06: ✨ The time independent Schrodinger equation allows us to express any function as a sum of stationary states, providing a complete basis set.
2:28:24: 📚 The given function is split into two parts for better expression, and the integral is evaluated using the initial conditions.
2:42:29: 📊 The plot shows the time dependence of the probability density calculated with the first 20 stationary state wave functions.
Recap by Tammy AI
I've never heard someone speak chinese with such a good American accent. I wish i paid more attention at school, this is most interesting!
Exquisite comment
I have a request: a lecture on how to manipulate matter and spacetime. Asking for a friend
I left youtube on over night and now I know the secrets to quantum physics
went to sleep watching ways the world has almost ended and woke up to being an hour into a quantum physics lecture
Legit going to use this video to study.
After I sleep to it.
Am I the only one who woke up to this video?
@@samiminer9338 lol I literally did rn
@@langerhainzkl9560 me three 😏
@@samiminer9338 lol same I just woke up
i did
I'm so glad to be taught quantum physics by Eric Foreman
dog i woke up from sleeping and i was 2 hours deep into this and theyre talking about functions
And?
Did you know our moon is the only Moon that doesn't have a name.
Weird
Yeah it’s the moon “The” singular moon that defines all other moons
I was literally thinking about that the other week 🤔
it does. Luna.
@@dmign ...that's the name to refer to the moons in Spanish
@@daliblue_ in italian
Physics is amazing subject
I need more of these videos!! Amazing!! Thank you so much!
More videos needed plz upload , waiting man come on!!
"Lectures for Sleep"
PULLS OUT GRIFFITHS
Thank you for this video.
Has anyone ever said you sound like Topher Grace?
I tried listening to audiobooks to fall asleep to but had to rewind in the morning coz I hadn't a clue what happened while I was asleep, maybe listening when awake will be more beneficial?
I genuinely love you channel so much!!
Keep doing what you’re doing, I appreciate it a lot
I woke up and this was playing help
It's too late. The ads have us entangled now.
Sane
Do one with chemestry
Cn u do for mathematics???
Thanks! Amazing! What’s the textbook title?
"don't forget to subscribe" as if I'm not about to fall asleep in 5 minutes
I don't understand what he's talking about I thought it was about the sun rays and moon's
Shoutout Carthage! I'm from Racine and I had to Google the logo. lol it felt soooo familiar
Please do some medical studies uploads.
quantum leap reference
I can understand every single word he is saying, but his sentences make no sense to my monke brain
too many ads couldn't fall asleep
If you wanna understand quantum mechanics you should understand the order of the number not alfabet. Make linear algebra first and you going to understand mechanics
So you're providing these videos for study while they sleep
.....and they would be able to read all the mathematical explanations becaaaaaause......... 🤦♂️
Did you say “um”? First minute.
Umx?
Audiobook
I have a new theory about human DNA
What about souls? & Spirit? 🎉😮
@@200fpsASHsoul is immortal
Anyone else wake up surprised Topher Grace became a physics lecturer?
Classic autoplay material
I don't understand it and I don't like it!!! 😢
If you don't understand it after this video, then you never will
@@FlaystrayIt must be hard for you to walk amongst the unwashed masses.
@@scott6129 when they have to edit their clapbacks to something they only assumed was denigrating, yes
@@Flaystray Wow! You get everything right the first time too!
Till now you haven't mentioned about eugen value and eugen vectors. Lots of complications in your lectures can be eliminated by use of those terminologies