What is The Schrödinger Equation, Exactly?
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- Опубліковано 5 лип 2018
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My Quantum Physics Essay
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Also, when I was 10 I asked my older brother to teach me to skateboard. The first thing he tried to teach me was to start moving from a stationary position. He had me stand on the back of the board with one foot so it tilted upwards, and then slam my other foot down at the front of the board and apparently that was meant to make it move forward. So on my first try I slammed my foot down too hard, the board slid out from under me as I was propelled forward and my face hit the hard pavement. I never skated again.
Up and Atom awwww
#Feels.Bad.Man
F
Interesting... sorry to hear about the face plant! But somehow I'm connecting it to the final bit of this blog post I just read yesterday: blog.interviewing.io/we-built-voice-modulation-to-mask-gender-in-technical-interviews-heres-what-happened/ ... relevant???
Also, I just want to let you know that I find the brilliant.org plugs jarring, and wish they either weren't there, or were more subtle, or something. I don't expect a change necessarily, just... thought I'd share one viewer's take. I pay for the ad-free version of UA-cam, and the brilliant stuff feels like advertising... which I presume it is? :) ... and perhaps you genuinely want to support what they're doing, and that's fine, just... I dunno, letting you know. :)
Thank you for letting me know about how the brilliant ad sounded. It's my very first sponsored video so I'm still getting the hang of it. I do like brilliant a lot, but I'm disappointed to hear it stunned you. I'll work on making the ad reads more subtle or giving more warning or something. I want your viewer experience to be as pleasant as possible, so thank you again for letting me know!
One of the best explanations of the Schrödinger equation I've seen.
n_n
MajorPrep AGREED!!!!!!!!!
But how is the general form of the wave equation derived?
The energy is only “quantized” because we are trying to measure it in a particular point in time.
“Superposition” is also meaningless theory. In no way does observing anything force it into one state or another
True
Why I fail socially: "Hi, Im Gary, nice to meet you! So the Schrödinger equation..."
Ha ha lol
Just take a page out of Feynman’s book and be calm and handsome
well, no wonder. Everybody must be thinking: "where did that ö go?"
Lol
@@MS-il3ht fixed it
Having just finished my degree in Mathematics just under a year ago, I'm finding it really therapeutic to come back and learn about topics (I struggled with) without the pressure of having to learn them for my exams/dissertations etc. It means I can enjoy the basic ideas and theories without getting to bogged down in the really hard maths.
Great video, thank you!
This describes me so well omfg. I never thought about this until now
Same for me, even if I have gotten my physics degree many years ago. Now I'm reading in a very relaxed mood mathematical papers and physics books. When I don't understand them I come back later, without pressure. Particle physics or General Relativity are indeed somewhat hard like pure mathematics.
I'm bad at math. I disagree that the Shrodinger Equation describes real meaning. It can't be performed. Everyone I don't see is really somewhere, and accidents aren't happening. In the same way a "quantum particle" must really have a position and a velocity, even if you can't see it. Perhaps every "quantum particle" has a corresponding "Satan square" which must have a position and velocity because it is a real object. It collapses into a Satan square only in your imagination.
Lost me five minutes in. I am improving.
"So here's the derivation if you don't believe me"
Oh trust me, I believe you
That's what I said too 😂
@L. Kärkkäinen Well, that honestly is not a proper derivation of the Schrödinger equation. It assumes the time dependent wave function has a form as \Psi(x,t)=e^{i(kx-\omega t)} (This is latex code, plug it into an interpreter to more clearly see what I mean).
This is called an ansatz and it works in order to derive an equation. However, there is no proper, real and strict mathematical proof of the Schrödinger Equation.
Schrödinger simply postulated the equation. And so far it works, me as a third year nuclear physics student use it every other week to compute wave functions in the shell model of a nucleus. And it works and can be experimentally shown to work. But there is no proof. Pure mathematicians despise us physicists for using it since they always require proofs haha
(6:00)
\Psi = \text{e} ^{ \text{i}(kx- \omega t)}~~~(= \cos(kx- \omega t)+ \text{i} \sin(kx- \omega t)~) \\
\dfrac{ \text{d} \Psi }{ \text{d} x}= \text{i}k \, \text{e} ^{ \text{i}(kx- \omega t)}= \text{i}k \Psi \\
\dfrac{ \text{d}^2 \Psi}{ \text{d}x^2}= \text{i}k \, \text{i}k \Psi= -k^2 \Psi \\
k= \dfrac{p}{ \hbar}~~~~~ \left ( [k]=~ \frac{kg \cdot \frac{m}{s}}{J \cdot s}= \frac{kg \cdot m}{Nm \cdot s^2}= \frac{kg }{kg \cdot \frac{m}{s^2} \cdot s^2}= \frac{1}{m}~
ight ) \\
\dfrac{ \text{d}^2 \Psi}{ \text{d}x^2}= -\dfrac{p^2}{ \hbar^2} \Psi \\
- \hbar^2 \, \dfrac{ \text{d}^2 \Psi}{ \text{d}x^2}= p^2 \, \Psi \\
E= E_k+E_p= \frac{p^2}{2m}+E_p \\
E \Psi= \frac{p^2}{2m} \Psi+E_p \Psi=\frac{p^2 \Psi}{2m}+E_p \Psi=\dfrac{- \hbar^2}{2m} \, \dfrac{ \text{d}^2 \Psi}{ \text{d}x^2}+E_p \Psi \\
ua-cam.com/video/HBmMOp5bqhA/v-deo.html Derivation of Time independent Schrodinger equation
ua-cam.com/video/G1z2XdMbFso/v-deo.html Derivation of Time Dependent Schrodinger equation
This girl is stupid beyond belief. Put a stand alone recorder or heart sensor monitor in the box with the cat. Play it back after you have opened it to do a retroactive observation. You will witness the exact moment the cat did or didn’t die before you opened the box. Your consciousness has nothing to do with it, it’s simply the observational tool interacting with the observed scene. Pretty dumb to think human consciousness has anything to do with it. What idiots.
Been teaching advanced high school Chemistry & Physics for 20+ years - the BEST 10-minute explanation I have found! My students absolutely love this explanation. THANKS for posting! Fantastic work here!!!
ok im really confused, since when did high school physics have quantum physics in it
wow
@Memes shorts you know i literally just figured out that high school is like a levels sorta
@Memes shorts oh its a british thing i live in the uk
7:48 the most beautiful and relatable animation I have ever witnessed.
This is how our professors must make subject interesting so that everyone can understand and see the beauty of physics❤
Me:- Lets understand schrondinger equation
Schrondinger:- I didn't get it how will you ?
schrondinger after watching this video: ohh now i get it !!!
That's not true
Schrondinger after reading this comment: my name is schroedinger not schrondinger
@@ador4047 !q0
@j schroedonger
This video was better than my entire semester of quantum physics. Thank you.
Don't loose your time with very bad ''quantum'' physic theories... ''Small things make's bigger things'' Nassim Harramein. (there's only one unified field and Unified Physic now, tks to him).
yeah right :) entire semester compacted into 10 minutes video of course the teacher is very beautiful too
You must have had a VERY bad course. If you think this video is better than an actual course.
@@anders5611 not all teachers should be teaching. That's all I'm sayin.
This is in our high school physics book
I was living peacefully, then I decided to do bachelors in physics, now I live in a constant state of mental suffering whilst also increasing my knowledge of physics and further destroying my mental health
I believe schrodinger must have understood that better if you were there to help him 😂😂😂😂😂
HAHAHAA
super cute animations!
Hello u r also physics youtuber right?
Tibees cool
Tibees you are gorgeous.😍😍😍 Cute
@abc bca Until there comes a boy who both like.
You both are so good!!
Can't say I'm not ashamed of the fact that I learned more from this 10min video than an entire semester. You are awesome.
Maybe because you can take a whole semester and explain it in 10 min. Easy to understand, very difficult to prove. As Einstein said if we understand something then we can explain it to others.
Same here bro
Yes, I understand I "better" now. BUT, I really wish you had been teaching when I was in university ... about 50 years ago! I didn't _really_ learn a lot until I was well immersed into my eventual career in electronics - when I had to do quick mind-refreshes in order to do the work.
Thank you for this series!
This was the greatest explanation of the wave function ever, I knew what is was before but this completely advanced it so much. Also I have been trying to find a video or an article explaining the Schrodinger equation for a week or 2 now, so thank you so much for not only explaining it, but explaining it perfectly so that everyone can understand it.
6:17 "Here's the derivation..." Thank you for posting that. I could have paused, and looked it up, but you showed your work, so we didn't have to. That's a helpful touch.
Once you showed that Schrödinger Equation is equivalent to E = KE + PE, I suddenly got it all clear... Thank you a lot ☺
Dasyam Figari totally agreed!
Easy to remember
Same, like it's there from the bohr's model, but we were just blind lol UwU
Thank you so much for including the "here's the calculation if you don't believe me" part! It's something my solid state physics' teacher didn't tell us and it was never pointed out that clearly. Now it's crystal clear!
Thank you for this! I am curious but these concepts to not come easily. Your enthusiasm and sense of fun help make them clearer.
My electron went missing. I opened the box and found it had tunneled out.
On a more serious note: Wouldn't that mean that the Wave function does not have to be zero at the edge of the box?
Yes. That's exactly what it means. In the real world, there is no way to create an infinite potential capable of forcing the wave function to 0 at the boundaries of the box (much less the entire universe outside the box, which is what the problem sets up). What's amazing is that despite the fact that this example is non-physical, it can be used to produce excellent approximations of real experiments.
A physicist at Cal poly San Luis Obispo once told me that the particle in an infinite energy well is a toy problem, your comment has finally help me understand what he meant.
Yeah well ! according to Shroedinger your electron could be located ANYWHERE in the universe - and it would still belong to the atom to which it is said to belong.
It gives a new meaning to belonging, hey ?
When you hold an object in your hand - do not think that all of this object is in your hand - it is scattered all over the universe and can still be IN YOUR HAND.
How's that for a mystic ? but do not accuse scientists to be mystics - they wrongly believe they have ended mysticism, when in fact they have merely hijacked it.
Hi Peter, you would know either where it went approximately or where it is now, not both 😉. You choose.
Thank you so much for such an engaging explanation of a complicated concept I've been trying to grasp for weeks now
Thank you for making these complex things more accessible. It’s a joy to listen to you.
I love how excited you get about all this. It's wonderful to see people who get so excited about what they know. We need teachers with this level of excitement.
I wish my prof were 0.1 % as excited as her about teaching quantum mechanics.
It's refreshing for sure! Don't ever let anyone/ anything dim that shine!
Finally graduating with my physics degree and I love how for the first time ever I can watch a youtube physics video and actually know everything, even the derivations and solutions. Fellsgoodman
I am a chem eng and even I get it. Great
Which feels great😌
I like this explanation a lot! I only had to take a year of physics for my biology degree and I was terrified I would fail the entire degree because of physics at first but then I started to like it and it also made the math I had to take easier to understand.
Something I did wonder about this but was too intimidated to ask my professor about was whether the weirdness of quantum mechanics was why people started considering whether other dimensions and parallel universes exist. For the sake of the poor cat, I sure hope they do.
As a mathematician i will be certain that my 9 years old child will get what is all about with your presentation. Love your energy :)
Man your explaination is just sooo convenient to get an intuition about a topic and make it click in my head. Sure it doesn't have the technical nitty-gritty but getting a gut feeling and a logical comprehension of a subject is the best gateway to wanting to check out the details. Thank you so much for all the info, you are doing such a wonderful service to so many people
Thank you for adding the derivation! This whole video was immensely helpful and elegant in representing the equation thoroughly yet also fairly simply.
7:07 "But what about the wave function? Where,...[pause]...is the electron?" - This really got me!! Awesome video...super simplified explanation of such tricky concept. Loved your energy!
Great video and, I must say, you are a great explainer. You provide information in an easy way to understand and, most important, in a fun and compelling manner. Well done.
You seem to have a nearly perfect balance of things that make learning and watching you pleasing. You have clear explanations that are easy to take in, or at least enough to whet a curiosity in the subject matter. Also, your motions are very fluid and playful. I think that gives your videos an inviting feel. Great job!!!
Aww thank you so much this comment made me smile :)
My (grade10) class: *Has a physics test tomorrow*
Me: *learning out of syllabus quantum physics*
Same here bro
my grade (10) is learning chemistry, while i’m learning quantum physics lmao. (grade 11 is physics for me)
R/iamverysmart
r/ihavereddit
@@finnwilliams830 So what if you do?
I think this is the most intuitive lesson i have had on Quantum mechanics. I passed the subject with a distinction purely because i could solve the maths but i never really understood the meaning of it all. Thank you for this, it was brilliant.
Your explanations are so clear and concise, and your presentation style makes the experience of learning incredibly enjoyable. Thank you very much for for all the time and effort you put into making these videos.
When I was an undergraduate at Bristol in the early 1970s they thought it would be a good idea for physics and chemistry students to take all the first year courses from both departments. As a consequence we got quantum mechanics from the physicists at 9am and quantum mechanics from the chemists at 10am. Unfortunately the departments clearly never talked to one another and the physicists taught the time-dependent form while the chemists taught the time-independent form with neither of them acknowledging the existence of the other form!. Neither side thought it was a good idea to show that Newtonian mechanics can also be written in the Hamiltonian formalism (which I think should be obligatory to save the inevitable confusion of presenting a new physical concept in a new mathematical wrapper at the same time).
Anyway, I guess it did me an indirect favour - on graduation I decided to do research in an area where quantum mechanics wasn't involved and I chose cloud microphysics - perhaps belatedly one of the hottest topics of our time (a back-water, however, in the 1970s)
When the Schrödinger equation is presented in just the right way (the Wigner transform), you can see clearly how it moves from describing QM states in very small isolated systems to describing Newtonian mechanics in large systems immersed in an environment with influences such as temperature and viscosity. This transition to classical mechanics can also be seen by the density matrix transitioning from having off-diagonal elements (the pure quantum states) to being a diagonal matrix (in the classical case).
6:18 Thanks for the derivation. I believed you, by inspection, but I like to see where it comes from.
There's no derivations for this eq
@@brb4903 your voice is low
@@paulineoyweri1035 wtf
I wish I could’ve shown this to my physics professor years ago 😂
This is excellent work, I’m beyond impressed at the amount of information you packed into this segment. I’m subbed & will be binge watching your channel during down time until Im caught up, so I guess I’m a rl stan now 🙂
The simplicity of your explanasion is highly appreciated. Best one in UA-cam
Very well thought out, Jade 😊
hey,I don't know you also comment on other youtube channels
Duuuuuude, you're here too? Awesome
pranjal verma, I do occasionally when I really like a video.
Feynstein 100, I'm everywhere! (Also, Jade and I are friends.)
The Science Asylum Until we observe you?
that teenage bedroom scene is the best illustration of this concept ever. well done!
Well, except I would guess that Jade's wave function would collapse to a higher probability of studying than the 1% character in her animation.
I understood it I'm 16 and do 1h work a day
That was awesome! I was confused with all these videoes before but your video just makes me clean my mind from confusion
Amazingly done. It’s hard work to make simple explanations to difficult topics.
Your videos are getting better and better! And the animation is very nice too!
thank you :)
Awesome. I’m not a physicist but learning more. Your explanations are thoughtful, interesting, and help to build an intuition for dense topics. Thanks!
Thank you for this video! It was SUPER helpful in grasping some of these concepts!!!
You do a great job explaining such complex topics :)
I wish that the physics and physical chemistry lecturers at the technical university could make this so interesting when I was studying!
(graduated chemistry, then went on doing IT and electronics engineering)
I definitely feel like I enjoy it more-- especially because you actually went through the elements of the equation. I know that a 10 minute video can only give a cursory look, but most people just do a little hand-waving and say "this equation says ALL you need to know" without explaining even the basics of HOW the equation does it. So this was awesome!
Is it so? At least here in Spain all equations and formulas are thoroughly explained and derived.
Best video explaination of Schrödinger equation on the internet
your quantum physics essay a real piece of art. loved it!!
Jade, you’re like the daughter I never had. You help viewers get excited about learning subjects they think they never could! Great work.
4:22 Quantum Tunneling: Am I a joke to you?
I think the box is meant to represent an infinite square well.
Lol
lmao
Good recovery!
Adrian Sheard yes it is
Thanks for adding the proof!!!! It's so beautiful to see how from one simple concept like energy conservation one can get such interesting equations!
Nice intuitive description. Good job 👍!
YOU ARE AMAZING, you made it easy, not just clear!♥️
Cool explanation, it's very clear. I think that the point of promoting classical observables to operators could be stated directly (especially since there is no a priori reason for doing so).
Beautiful and Brilliant(not the website).... my goodness some people are just amazing.
Amazing! A stunningly clear explanation of a fundamentally complex subject. You should be required watching for all science teachers.
Your degree of happiness while explaining the concept is marvelous. You enjoy the teaching and transfer the same to the viewers.
I love videos on quantum mechanics and this is probably one of the easiest to understand. Your delivery and explanation was clear and pretty easy to follow 👍🏽 good stuff! Also that was the first time (in years of watching videos on the topic) that the reasoning/correlation behind the discrete energy levels and wavelength was made clear
She was awesomee ..Professor dave explains this very easily too
I suck at math and formulas but you explained it in a way that I could follow very well!
Beautiful explaination! Just subscribed
I just found this channel (July 5th, 2020) and I absolutely love it. I’ve just watched one fascinating video after another.
your speaking style at 7:09 blew my heart of my body!!
what the hell was that, i almost expected her to take out a whip
😂😂😂😂
You should get out more, mommy's boy
This was the best explanation I’ve ever seen. You make it so understandable. Most videos of the schrödigner equation doesn’t really talk about what each individual symbol means. But yours did.
amazing explaination , clearly and intuitive , nice work !
Your enthusiasm made quantum easy.Thanks for such simple explanation 💗💗
You are phenomenal, it makes sense to me now. I couldn't ask for for more.
n_n
You are doing a tremendous good job explaining it so it's more understandable 👍😁
Very clear explanation! Thanks!
As a junior in highschool I love watching your videos, they're so cool!!! I checked out your paper in the description and I was trying to make sense of it but I got completely lost toward the end with all the advanced mathmetical equations. Is there a way to dumb it down a bit? I'm currently taking algebra two so that might have something to do with it.😅
For the derivation, i have been taught that we usually take the general form of waves as
A*sin(wt ± kx).
look into euler's identity
Ok thanks,
you're such a good teacher, thank you! 😄
Your Quantum physics essay is the best thing I've read in a while!!
Brilliant presentation! I love the illustration graphics! 🎉😊
4:58 wasn't Einstein who discovered the relation between Energy and frequency but Max Planck in 1900, with the astonishing Planck postulate
en.m.wikipedia.org/wiki/Planck%E2%80%93Einstein_relation
Planck originally thought that h was a placeholder. Einstein solidified it. You can call _E=hf_ by any of its popular names without robbing Planck of any credit.
Remember,
E=pc
E=hc/λ
E=hf
The point isn't the connection between energy and frequency - it's the connection of momentum to a massless object based on its wavelength and the quantum scale. Frequency is just good bookkeeping and very handy.
@@Ni999 thanks. I'd add that what matters isn't simply a relation between E and f but the fact that h is a constant, so that energy get quantized and has only discrete values; but that aspect is very well explained in the video
It's like becoming the, "Jesus of physics," Then suddenly, Peter Griffin can top that weekend. 😎
@@Ni999 To quote my late high school physics teacher, Rory Dickens, delta E to delta f = h slope.
E = h × (1/T) [1/T = Frequency]
h = Planck's constant
enjoyed this video :)
suggestion:
if it's a topic of interest, i'd love to see a video about the physics of fluids please!
awesome video,you explained it in prettt fun and engaging way with kind of great explainatory method,Thankyou!
I've had coursework in quantum particle physics and struggled to get the gist of it (basically, it's not possible to fully understand how these little fellas can do all this "weird" stuff...ya just gotta accept particle-wave, uncertainty, tunneling, superposition, and entanglement...until further notice.)
You have an amazing ability to get it across to others who don't understand it!! (I am a college tutor and am always amazed at your ability to "break it down and explain it".)
Thank you, Jade!!
Is the presenter wearing a *12 tone* t-shirt???
I'm impressed!
One of my favorite channels!
yes 12tone is great!
Hecatonicosachoron Her shirt brought me here...
The Wave function doesnt tell you where the electron is likely yo be. It is the square of the wave function. The Wave function itself has no physical interpretación, and it's not just a detail. It's fundamental.
Or, the wave function really is an electron and when measured the law of conservation of energy limits that measurement to one place. Otherwise, it would be infinite energy.
You really gave a clear and a lovely anime of a complicated concept!!!
Extremely good! great explanation and engaging style we need more people like you!!
Really interested in reading your essay, it's a very interesting topic. Thank you for sharing! :)
What's the benefit of having such a badass name as "Nate" if your surname is "Whitehat"? Lmao XD
Joking.
2:48 one of those cats looks super guilty of murder
You made it seem so simple...very well explained!👍👍👍
best video for this topic ! loved it ! understood much better here thank you
Love the 12-tone shirt! It makes me happy that other physicists and mathematicians appreciate music theory. Thanks for the video!
Maybe you could make an item about a music subject.
Believe it or not, fourier analysis is actually a link between the two subjects (music theory and quantum mechanics).
@@DinoDudeDillon I do believe it. I'm pretty obsessed with frequency modulation synthesis and the harmonic series as well as quantum mechanics. There are some astounding parallels in our universe
@@SamChaneyProductions sound engineer, musician, synth enthusiast here. Awesome how we all end up studying this stuff as it is incredibly relative.
Music theory involves waves due to sound waves so it can be surprisingly helpful when I was learning spectroscopy 😂
Thank you, now I understand well enough to explain it to my cat who is understandably apprehensive.
This HAS to be the best explanation on UA-cam for this particular topic. This helped me understand the topic in 9 minutes while my professor spent hours on this!
these videos are actually amazing.
CORRECTION: At 1:00, instead of ħ, ħ/2 should come.
Right, or h/4pi
Indian
Well, that's the first time I actually feel I understand a tiny bit about quantum physics - ie, what wave function actually means and it's connection with discrete energy levels. Super video.
Just loved the way u mesmerised me and beautifully taught me.
Kudos to you
This is a really good explanation! thank you so much :)
6:18 Gave me the shock of my life😅
Thank you for explaining this to people like me, who are very interested in physics but have not have the chance to actually study physics in college.
Actually its chemistry sis😂
@@paritoshattri672 it's quantum mechanics. Attribute it to any subject, physics or chemistry. But there's something you must know; it's more physics than chemistry.
Guess you are in class XI right now.
@@paritoshattri672 you do realise chemistry is basically applied physics which is essentially applied maths. At higher levels all 3 subjects merge and there is no longer really much separation between them.
Thank you, Madam, 🙏for the wonderful videos on science and mathematics. I am from India and studied for a few semesters of physics before switching to medicine. I am still interested in physics(especially quantum mechanics, cosmology and the theory of relativity), philosophy ( I happened to visit the Bertrand Russel Archives in Canada in August) and mathematics. You make my life easier by presenting certain aspects of modern science ( physics/mathematics etc. that interest me most. As a physician, I do have not enough time to read the original papers etc on physics. When I was a student at the University of Vienna, I was supposed to stay in a hostel next to the house where Erwin schrädinger was supposed to have lived. I remember having read a book titled " In Search of Schrodinger's Cat " which gave me a brief introduction to quantum mechanics. I have already subscribed to your channel and whenever I have time I would watch your UA-cam videos.
Great explanation! Great work!