Thanks for taking the time to cover these higher-level topics. I know they don't perform as well as some of your lower-level videos, but this is incredibly helpful to college-level students such as myself whose professors glossed over most of this information.

You deserve a Nobel Prize in Physics for simplifying it! Thanks!

He know a lot about science stuff professor Dave explains!!!

Professor Dave, I can’t thank you enough for all the effort you put into making this content. I can assure you it‘s been very helpful for students all over the world ! I‘ve recently started a quantum chemistry course at university and came to understand it better after watching your series. If you are interested, please make a video on experimental application of quantum mechanics (for example, Hartree-Fock approximation) or elaborate on various interpretations of quantum mechanics (I find the many-world interpretation particularly mind -blowing :). Thank you in advance!

You really do know a lot about science stuff, Professor Dave. There's always a video of yours explaining what I need

''quantum mechanics is a probabilistic way of viewing reality that is difficult for our classically trained brains to comprehend but nevertheless this is how the universe operates on this scale.''Amazing line Sir

This helps me not only get more familiar with quantum stuff, but also integrate what I learned in wavelet transformation. Much thanks to Prof Dave.

The way you explain things is absolutely mindblowing! I have been reading a lot but it was your videos that helped me grasp the concepts clearly. THANK YOU SO MUCH Professor!

All the videos I watched from the channel, from the mundane topics, such as cheese and olive oil, to the complex topics, such as quantum mechanics, provide accurate, explicit, and most importantly, comprehensible description and explanation. Truly one of the highest quality scientific popularization channels ever made. Well done, sir, and thank you.

Thank you! I am a 16 year old student getting into physics, your videos are extremely helpful :)

Professor Dave is one of my favourite channels on KZfaq.Keep going. This channel deserves more like and subscribers..Superb Explanation..

Wow your explanations are awesome! I'm looking forward to the next part :) Thanks for the video. I really learned and understood a few things about wave functions.

Dave is a god, making us smarter everyday.

you are doing a great job. The content of this series is quite good, especially for someone who wants to dive into the matter

Great explanation of the topic! Simple, smooth, inclusive and a lot better than most textbooks. Thanks...

Best explanation of this topic ever ! Thank you eternally! 🙏🏻

You made my studying for Final Bachelor's exam much easier and more entertaining.. Thank you very much!

i didnt get this at all until 23 minutes ago, you are terrific. I have been struggling with this formy quantum module, thank you sooo much

By far the most clear explanation about this subject!

Sir ur doing a fentabulous job by posting the very useful and easily understandable videos of all subjects everyday. Hats off ur awesome.

someone : how can a student learn all subject,if a teacher teacher teaches only one subject me : i know a teacher who can teach all subjects

I didn't really get Hilbert space before, but you explained it quite well. I like the pacing of the video.

The last 6 videos of this series are beautifully mind bending

KZfaq recommended this to me. I saw the intro and was like: "See the previous tutorial? Nonsense! It's just a bit of math, how dense do you think I am?" ... I has been a long time since I last heard so many words, of which I could follow so few, due to my own lack of knowledge. I love it! (And will be back once I've seen the previous installments)

Actually this helps a lot...So beneficial....Thank you very much prof...❤️❤️

THANK YOU SOOOOOOOOOOO MUCH for this info your the best

Thanks for uploading your video. It was an extremely clear exposition. However, I did spot a few small inaccuracies in your video. The wavefunction is related to the vectors of the Hilbert space by ψ(x)= where |x> is a position eigenstate. The vector |ψ> does not vary with position (the information for all x is encoded into the vector, whereas in your explanation the expansion has components which seemed to depend on x, which takes uncountably many values). We can also do quantum mechanics in the momentum representation using ψ(p)= where |ψ> is the same state. Strictly speaking, you made a choice that the normalization constant, a, was real and positive when you normalized your wavefunction. Wavefunctions which differ by a constant phase factor represent the same physical state, so ψ(x) and -ψ(x), for instance, are equally good at representing a quantum state. It is for this reason that your explanation of the double slit experiment is problematic, it is not very natural to add together wavefunctions, since if ψ and φ are two wavefunctions then the wavefunction ψ+φ and ψ-φ do not represent the same physical state. After normalizing and taking the modulus we find that these combinations give entirely different predictions for the probability density for the particle hitting the screen (you slightly misspoke when you included some coefficients in front of the two wavefunctions: you referred to them as probabilities rather than amplitudes). Incidentally, the quick way of working out the expectation of the kinetic energy is to write it is as =|| φ ||²/2m where φ=pψ, this avoids computing a second derivative and is especially labour-saving when working in three dimensions.

This series is excellent.

A wonderful tutorial !!!

Can’t wait for more of this quantum physics stuff

Excellent video for learners of quantum mechanics.

Basically, everybody can skip the first chapter in Griffiths by just watching this, which is a CONSIDERABLY better explanation.

the only teacher that can make me understand quantum particles

Awesome video

Excellent! Thanks

My quantum mechanics savior🎉🎉🎉 I’m taking calculus 3 and differential equations this semester and together with modern physics. The quantum mechanics part frustrates me due to my math level😅But nothing is too difficult to overcome as long as I put enough energy into it!

Wow nice work

love you prof Dave

Thank you very much

Came for the flat earthers, stayed for the quantum mechanics

This is very informative vedio thank you sir

We are excited to host Dave sir on a live show @11.30 AM IST on 15th August. Get ready to ask him anything about physics! Comment your questions on physics .

great content

Thanks!

thanks for making us smarter every day

Have an exam on Quantum Physics in a day and one on Atomic Physics the next day. This is a God save, thank you Dave.

Thanks professor Dave for considering my e-mail...I knew you would

i love the you explain.

Superb

I'm going to sit here and nod my head, like I am following you perfectly. Then quietly make my way out the door and ask myself, "Self, you have any idea what he was talking about?" "Oh, yeah. All expect for one part. The part after 'vector space'."

Love your voice.

For the double split experiment; what is the reasoning behind multiplying the probability (a1) and wavefunction (psi 1) for the individual slit.

Thanks

Dave have you done a video about Fourier transforms/ series? And if so where would I find it?

Professor could you explain for us more about relativity?! Thank you so much

Sir your explanation is excellent but I have a confusion Sir you told that the presence of an electron is diffused. So I have a question that is the diffusion of presence of electron is due to its wave nature ? I hope that you will clear my doubt. Thank you sir

You are literally a bless that god has sent to amaze us every single day by your intelligence. Keep it up dear.

Great video! If the wavefunctions are vectors in a Hilbert space what are the basis vectors? if the wavefunction describes a quantum state, lets say an sp3 orbital then does that mean the basis vectors as the individual s and p orbitals? And is that why these can be made up using basis set? Are basis sets and basis vectors the samething?

to make sure whether the functions are well behaved I need to make sure it is single valued? Continous and find the integration of the square of the function and see whether there’s a finite value after integrating in provided range? Can you kindly correct me if im wrong Your sincerely

Can we say that expectation value are sumation of eigen values times probblity of each vakue ?

Yeah Professor Dave! Yeah psience!

To the point

beginning of the playlist: fun facts and helpful advice on how to understand concepts in the subject end of the playlist: *all I see is suffering*

Concise

P-Chem PTSD flashbacks intensify

Please make a video on what exactly Google has solved using quantum computers with respect to the eigen solver.

Surely when you are multiplying d/dx in the derivation of kinetic energy operator it should not be the second derivative but the first derivative squared? Correct me if I am wrong. Great Video as always!.

Hey Dave, can you do a series on linguistics?

I've never been one for math, but I'm hoping to absorb a greater understanding of quantum physics through your excellent videos. My question is, if a given solitary electron is literally passing through both slits and is literally in both positions at the same time, then why do we speak of probabilities and expectations? Why do we say its position is probabilistic? If it's 'probably' at this or that position, then it's not in both places, right? Otherwise we'd just list all its positions. It wouldn't be probabilistic, we'd know that its positions are at both slits. The example of the heat map used to find the most likely landing zone of a ball thrown out a window requires multiple throws of the ball and a single landing for each throw, but we're talking about a single electron--in one go--being in all those places at once--and even accepting that's the case, then we know each of its positions, and they're all certain. But they are not considered certain? We're using equations that give us an estimate of its actual position as though it only has one true position, and that the other locations are merely possibilities that arise as a consequence of not knowing the one actual position that it really has. So either it's in both places at once, or it's in only one and we're guessing which is the most likely. Which is it? Please don't say both!

Holy fucking shit this just made so much sense out of what ever the hell my textbook is trying to teach me!!!!!

At 20:10, you say that multiplying the two partial derivatives goes as (d/dx)(d/dx) = d^2/dx^2. I'm not gonna pretend that I'm reinventing quantum physics, but shouldn't it be equal to the first derivative squared instead of giving the second derivative? I've looked it up, and I figured that there's a flaw in my reasoning. But why isn't it (d/dx)^2?

hey serious question. Can you explain how water conducts electricity? Or is it the ions in salt water that do the actual conducting and not the water itself? I learned in high school chemistry that water does not conduct electricity and this was demonstrated by trying to send an electric current through water to turn on or light up the light bulb. Water is polar but electrically neutral, and I learned in college physics that if water was positive or negative it would repel itself and cease being water. I understand that charged objects attract with neutral objects. I dont understand how water itself could conduct electricity. Are you trying to say that ions in water, or an aqueous solution, conducts electricity? I would understand that

Can a star be massive enough to fuse iron?

legend. I live in Mount Olympus.

Hi sir big fan give me one reply

👏

2:48 Dave becoming a pirate: "are are" (in the title)

Interesting, but a bit heavy on the HOW stuff to my tastes and weak on the WHY... there were a lot of "so let's just do this" moments in there with quite a few not being explained at all. Why do they work? HOW do they work? It might have been better to split this into four different videos giving each of the parts of the explanation more time to include such points.

are you teaching the phd holders here?

But wait... my book literally says, "In quantum mechanics the average is usually the quantity of interest; in that context it has become to be called the 'expectation value.' It's a misleading term, since it suggests that this is the outcome you would be most likely to get if you made a single measurement (that would be the most probable value, not the average value) - but I'm afraid we're stuck with it." This seems at odds with what you're saying in the video. It seems that you are saying that the expectation value, in fact, is the most probable value, and not the average value. I am confusion.

Now, if only I had this for my QM class...

You are my jesus !

the wave function is not really a function. it is a section in a complex line bundle over the physical space. to really understand it requires deep knowledge in topology.

And also binod

I'm starting prof. Dave syndicate (A team that supports sir's channel to grow by sharing or etc (if we can't support on patron let's support in this way) :) ) let's make a discord channel or insta page to make sir more famous and share knowledge #prof.davesyndicate like this comment if you agree

You describe the expectation value of an operator as the most likely value. I don’t think this is correct - “most likely” suggests a probabilistic “mode”, rather than a probabilistic “mean” which is what the expectation value corresponds to.

How am I so early OwO

Professor Dave do be kinda cute tho

People that watch this in summer are complete nerds😂 yes I came here to comment that🤣

HOW MANY VIEWS?!?! 127K *sticker flutes*

the dislikes are flat earthers

NOT sleep Not job Not Talk

Fir

Speak English please Jk that is what all my friends say when I talk with them about my classes and this will totally put them over the edge! Lol

... (sad confused noises) ...

More flat Earth mocking!!!

you are a genius level thinker.....but even you realize that you cannot throw a quantum particle out the window such that it lands on the ground....you have shown a basketball being thrown out the window......you have purposely used a classical example to illustrate the central thesis of superposition.....much like using elephants to illustrate what a feather is like.....why stray into classical physics at the point of illustrating the heart of quantum theory, that we can never know where the particle lands after it goes out the window

Load of crap

Thanks!!!!

👏