You can learn quantum mechanics with brilliant if you like brilliant.org/upandatom/ 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.

One of the best explanations of the Schrödinger equation I've seen.

Why I fail socially: "Hi, Im Gary, nice to meet you! So the Schrödinger equation..."

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!

7:48 the most beautiful and relatable animation I have ever witnessed.

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!!!

"So here's the derivation if you don't believe me" Oh trust me, I believe you

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

Lost me five minutes in. I am improving.

Me:- Lets understand schrondinger equation Schrondinger:- I didn't get it how will you ?

super cute animations!

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 is how our professors must make subject interesting so that everyone can understand and see the beauty of physics❤

This video was better than my entire semester of quantum physics. Thank you.

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.

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!

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.

Once you showed that Schrödinger Equation is equivalent to E = KE + PE, I suddenly got it all clear... Thank you a lot ☺

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.

Thank you for this! I am curious but these concepts to not come easily. Your enthusiasm and sense of fun help make them clearer.

I believe schrodinger must have understood that better if you were there to help him 😂😂😂😂😂

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.

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 so much for such an engaging explanation of a complicated concept I've been trying to grasp for weeks now

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.

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

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.

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.

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!!!

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)

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!

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 :)

6:18 Thanks for the derivation. I believed you, by inspection, but I like to see where it comes from.

Very well thought out, Jade 😊

Thank you for making these complex things more accessible. It’s a joy to listen to you.

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 🙂

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!

Thank you for adding the derivation! This whole video was immensely helpful and elegant in representing the equation thoroughly yet also fairly simply.

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.

Seems a better analogy than a kid in her room would be a kid let loose in a big apartment store. You get high a high probability that they may be in the toy section or the sports section or in the candy section, etc., but they could also be traveling between those places when you actually look. Even if they were in the toy section, they could be in front of one toy, or another, or playing randomly with a toy along the aisle somewhere. As a parent, I can assure you that raising a child can be very quantum, especially when you’re looking for them.

My electron went missing. I opened the box and found it had tunneled out.

For the derivation, i have been taught that we usually take the general form of waves as A*sin(wt ± kx).

Jade, you’re like the daughter I never had. You help viewers get excited about learning subjects they think they never could! Great work.

Amazingly done. It’s hard work to make simple explanations to difficult topics.

My (grade10) class: *Has a physics test tomorrow* Me: *learning out of syllabus quantum physics*

your speaking style at 7:09 blew my heart of my body!!

This HAS to be the best explanation on KZfaq for this particular topic. This helped me understand the topic in 9 minutes while my professor spent hours on this!

So, basically, the Schrödinger equation is a quantum mechanical wave function which describes how electron orbitals combine to form atoms. These experiments helped explain the structure of atoms and molecules. These experiments showed that quantum mechanics is indeed correct, and the Schrödinger equation will be used to develop new technologies in many different areas. Applications include how atoms form molecules, which are two or more atoms bonded together. Very important for creating drugs and new materials. Also, the Schrödinger equation can be used to describe interactions between electrons and nuclei. In chemistry, quantum mechanics is useful for explaining how electron orbitals are formed in atoms.

that teenage bedroom scene is the best illustration of this concept ever. well done!

Awesome. I’m not a physicist but learning more. Your explanations are thoughtful, interesting, and help to build an intuition for dense topics. Thanks!

Animation is Top notch and explanation is mind blowing

Correction* @04:23 There is a very small probability of electron to be found outside the wall as well. Quantum Tunnel effect.

4:22 Quantum Tunneling: Am I a joke to you?

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

Waaawo.. I have studied this course 20 years ago but amazed to see younger generations has a better understanding of it.. Well done

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!!

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).

4:58 wasn't Einstein who discovered the relation between Energy and frequency but Max Planck in 1900, with the astonishing Planck postulate

Cant be more better , I have happy finally i am grown enough to actually study this in my educational curriculum and come here to understand it fully.

this is what i call creativity studying for a whole semester to simplify it for an audience who is interested in it keep going

Beautiful and Brilliant(not the website).... my goodness some people are just amazing.

Your videos are getting better and better! And the animation is very nice too!

you clarified the quantumness of the quantum states! thank you!

One tricky little part of the "cat in a box" analogy is worth reading about: "Taking a measurement" (opening the box) should be seen as part of the entire time dependent equation for a system. Since the wave function IS the probability density function of the system itself (it's position) - whose behavior is dictated by the Schrodinger equation - the MODEL for it's potential energy should be (must be) part of the equation. (This is the V(x) function). So, when the "probability is set to 1" - which is the act of taking a measurement - this would be an initial condition for the piece-wise time dependent solution of the system. e.g. P[X = x, at t = 0] = 1. Means the probability that the position (random variable) X = x at time t = 0 is "measured". That would be equivalent to a delta spike initial condition at X = x for the next time period of the time dependent solution. It's important to remember the probability theory involved has a meaning in this setting. To add complication to this toy example - the V(x) should also become V(x, t) and take on the full description of the measurement apparatus. These theoretical style models are a bit more complex and would be worth investigating for limits to a "systems theory" of Quantum Mechanics. i.e. proving our intuitions about the core "truths" of the theory. - Would it be possible to truly describe particle behavior as we measure it? How applicable is QM to an actual particle physics experiment? - What would the features of a large QM system be? Would there be group behaviors? Do we actually see any group behaviors that would be indicated by such a theory?

Love the 12-tone shirt! It makes me happy that other physicists and mathematicians appreciate music theory. Thanks for the video!

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.

I am a 12 year old kid after I watched this video i thought that quantum science is not hard if we think it's hard we can't do it. This video is the best explanation about quantum physics now I can do quantum maths equations too thx a lot teacher...

I'll wear a mask and say "I may be handsome, I may be not, here's the equation find it yourself".

CORRECTION: At 1:00, instead of ħ, ħ/2 should come.

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.

thank you. Your 9 minutes made more sense to me than the sum total (hours and hours) of all the other attempts to understand Schrodinger...

The simplicity of your explanasion is highly appreciated. Best one in KZfaq

I suck at math and formulas but you explained it in a way that I could follow very well!

Best video explaination of Schrödinger equation on the internet

Your enthusiasm made quantum easy.Thanks for such simple explanation 💗💗

There is a parallel between the Schrodinger equation and Euler-Bernoulli equation for the elastic deformations of elastic media. The SE could possibly describe the elastic deformations of (say) the fabric of space-time, the fabric of space-time vibrating is what we perceive as a "particle"

Is the presenter wearing a *12 tone* t-shirt??? I'm impressed! One of my favorite channels!

Wait? She is pretty and know physics? 😍

Where were you when I was studying this in uni? Great stuff this makes a whole lot of sense

That kid probability analogy was funny and simple yet very effective as a first approximation to appreciate quantum probability. Then of course you go on to say that it's impossible to get full information about them. Simple, funny analogies. And formality only if actually needed. This is fast becoming my favourite science channel. And I notice two other of my favourite channels have commented on how good the channel is. Genuinely great stuff.

Did the box have air holes??? I'm just sayin'. Why didn't I have teachers like you at school. You are enthusiastic and personable. I might have turned out intelligent! (My whole life has been potential energy)

You are phenomenal, it makes sense to me now. I couldn't ask for for more.

Thank you, now I understand well enough to explain it to my cat who is understandably apprehensive.

Very well done Jade. Without overly extending the explanation as is and thus making it less comprehensible, I'd try to include brief allusions to the following with possibly links to further details:- The wave function itself - how and why it's form was chosen, i.e. why is it complex, what's its relation to Euler's identity, why did it need to be wave-like to begin with etc. A reminder on what k are w are and what they represent in the wave function. A reminder where the de Broglie relation comes from, the matter wavelength relation to momentum and how k fits into that and why. A quick work through the Schrödinger equation derivation you gave the briefest snapshot of - it is very good, clear and concise but may overwhelm those new to it, without an explanation of what is being substituted into where and when. A justification as to why squaring the wave function yields the probability function of finding the electron at each location. EDIT: Just found your What is The Quantum Wave Function, Exactly video, excellent.

2:48 one of those cats looks super guilty of murder

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.

Excellent explanation allowed me to bypass months of math learning to understand Shrodinger Equation.

omg thank you so much, you just helped me a lot with my college's investigation

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.

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!

Correction at 8.03 there is nothing like derivatiom of Schrodinger equation rather it's a postulate , means we can obtain it but cannot derived using first laws and that's the beauty of schrodinger equation.

i cant believe i just understood the whole schrodinger equation.. DAMNN!! superb explanation.

"up an atom!" "Up and at them!" Rainier wolfcastle 🤣

If she will teach me, I am ready to do phd in chemistry. She is soo good. A great teacher

This, this right here, wiped out 92% of my P-Chem class in undergraduate. Only 8 of us struggled through the math to finish the year of study, at the end of which our professor, Dr. Schelly, educated in Germany and living in Texas at the time, gave us all a bumper sticker declaring to the visible universe that we had passed P-Chem! Still, to this day, the most difficult class ever attempted out of Adkin's Text book, including any of my graduate classes in Mathematics or Physics.

According to what you said wave function and probability density are doing the same work that is telling how much likely the electron is to be present at a particular place. But people say that wave function has no meaning 🤔🤔

You are in a superstate of being beautiful and a mathematician at the same time.

My quantum mechanics teacher(steven Weinberg ) didn't wiggled around excitedly like this,that os why I have forgotten Schordinger equation. Prof.Dr.Fazal Cambridge

I am from India and I am studying quantum chemistry, when i found many videos on schrodinger equation, i just randomly clicked yours but trust me when i listened i feel much better about my schrodinger equation. thank you so much.

Jade - That was very helpful to understand a concept shrouded in mystery, which I was exposed to me decades ago in college Chemistry.