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great explanation. thank you for a high-quality tutorial.

Incomprehensible

At 1:48 spin can be "positive 1 and a half or negative one and a half", uh shouldn't it be positive half or negative half?

Can the quantum number n assume zero as value or only any integer > 0. What’s the meaning of n = 0?

5:53 missing brackets

How can i calculate that psi function? It has r1, r2 two variables. I can feel by integrating spherically with Energy operator and be able to get only one energy value. But i can't imagine what psi square(possibility) would be

I would like it if at 5:13 you expanded on the fact that what's sorta hapening is we are taking the exponential funciton of an operator! This is a powerful concept! And 3B1B did already a pretty cool video about exp() of a matrix. So you could dig a little deeper into that idea! After all, it IS an aproachable concept!

Wow, what an eye-opening video! I've always been fascinated by Spinoza and this lecture provided such great insight into his life and thinking. It's amazing how political turmoil can shape a philosopher's ideas. Thank you for shedding light on this topic and making it so accessible for everyone to understand. Can't wait to delve deeper into Spinoza's work now!

n can't be zero

Quantum do occupy the same time however the same space is allocated in peramiters of different A Alfas

I'm not trying to be pedantic here but why do we accept indirect proofs in a system which allows superposition of a matter of fact about the physical world and its logical negation? Asking for a friend.

it's not just antisymmetric though it's also noncommutative. Pascual Jordan was very happy when his noncommutativity was proven by 1/2 spin.

Have you studied Herbert J. Bernstein? He was my quantum physics professor. hahahaha. thanks

Have you studied the weak measurements?

Have you studied Basil J. Hiley

Isn't that variations on a theme of Paganini? OH yeah it's the Rach concerto - nbr 3 maybe though and not nbr 2. I used to listen to that piece ALL the time on my Walkman in the 1980s.

I feel like this is an oversimplification tho. If I measure the spin of an electron vertically, then I know what it is. If I measure it horizontally then I know the horizontal spin but I no longer know the vertical spin. It is the potential for something to be in either state that is weird, especially since we can add or remove information from the system, changing those potentials over time. It's weird because that is impossible to have an intuition about and it doesn't act like anything we observe on the macro level. It does kinda look like magic.

Absolutely magnificent work! On a side note Edwin, I would advise you to look into Margaret Cavendish's work "Observations Upon Experimental Philosophy". I reckoned her views would conflict with yours and the reflections which will come out of that clash may be of interest to you.

Based

Fermions satisfy the Pauli Exclusion Principle because fermion identical particle wave functions combine antisymmetrically. And they are antisymmetric because they satisfy the Pauli Exclusion Principle. (ie - a tautology). Bosons do not satisfy the Pauli Exclusion Principle and they have symmetric wave functions. And um... we don't know WHY -- that is just the way the universe works. It is an assumption (sort of like an axiom in mathematics) and no proof is needed because -- it works and is consistent with what we observe in nature. It is turtles all the way down.

That’s so cool Eddie, I didn’t know you were smart like that😭

Wow, I noticed a couple parallels with Spinoza's notion of "God/nature" and the ancient Daoist version of the "Dao" (there were many interpretations in Chinese philosophy). Furthermore, Spinoza's idea of "Natura Naturans" (active, creative, generative) and "Natura Naturata" (passive, realized, manifested) sounds a lot like the abstract concepts of Yang and Yin respectively.

I think we can consider him as the camu of the past with the difference of being in the riches afterwards

At 3:32 the RHS should only contain single integrals.

t_0 looks like a move to the right. hbar puts a 2pi into the numerator. Suggesting this whole thing has a period. The negative puts e into the denominator. Is h-hat spitting out its own imaginary value? If it does, the negative cancels and this whole thing turns into a tangent half angle function. Not sure what it does if it's a complex number with real and imaginary parts though. Or what happens if this h-hat thing is a polynomial. This Hamiltonion guy must be a "🎶🎷🎵smooth operator🎶🎷🎵"

Western philosophy is actually what destroyed the empire by subverting the core principals it was found upon. Such as inter-racial brotherhood based on union in faith, allowing rule only to those strong enough to obtain it, and accumulating wealth and territory against rivals. These were replaced by nationalism, linear succession, and the sacrifice of territory in favor of shorter Frontlines . Rendering the empire vulnerable and leading to its eventual demise.

this video is the best.

So basically no two electrons can be at same place or elese they are just 1 electeon.if all quantam numbers are same then they are same place whivh is not possible is what i get

Is it not worth the effort to try and satisfy the breakthrough singularity (the big bang) with the breakdown singularity (a black hole) by combining the two singularities? Is this something someone has tried, and is it even a logical assumption to make?

Is it true that the physical act of observation doesn't hold or have a unit of measurement in the quantum wave theory? Is observation coming from another dimension, or am I not making any sense? Haha

Hi semispecula, my question s are 1) @3.52 you said the spatial becomes antisymetric after filiping ab to ba, my question is why is this so??? 2) if instead two electron if we take one positron and one electron then also total wave function become zero when they are in same position. So why positron electron wave function is allowed and while electron electron wave function is not???

Good explanation

Decent explanation I think you could've spared a minute to explain why the conclusion that Psi=0 is absurd.

I was wondering why on the first energy level there can be max 2 electrons, why not 1 electron? Thanks!

Dat Le Great Vid BUD!! maybe for this part: 2:07 you can make a vid about the superposition:)

A well done video, like most of your collection, thanks for the great content. I do want to point out that essentially you have promoted the quantum bayesianism interpretation (which is quite good, but still weird) to be epistemically equal to the experimental data. The Stern-Gerlach experiment is not the weirdest result of quantum mechanics by far, and I do not see how quantum bayesianism makes the Elizur-Vaidman Bomb experiment more intuitive.

This a Big Brain Channel:)

THIS IS LE NOICE VID BOI

Finally found how😢that integral come

Simply perfect. Thank you. Thanks also for the PDF-file. P.S. composition is icing on the cake

*PDF of this video in terms of an article can be found in the description.* This video might be technical in contrast to a broader RUclips audience. However I want to both upload videos which is meant for a broader audience and also technical ones which is meant to reach a certain audience. Many 'popular science' videos in terms of maths and physics can be found on the platform. So I will aim for a little more technical audience in some of my videos, including this one. Another addition: I have stopped adding music to the video background due to previous criticism. I used to put the music which I have made in the background, now I have only put a composition in the beginning and while the transitions are taking place.

Damn puberty hit hard

Most underrated chanel. Amazing content

Great explanation ✨✨

And to think the guy who discovered it run a windmill and was living the rural life lmao. What a genius.

Thank you sir for this video

Based and Mathpilled

comment for algorithm

At 1:55 while computing curlF where F=<-y, x>, in the video it is ∂/∂x(x) + ∂/∂y(-y) but it has to be corrected to ∂/∂x(x) - ∂/∂y(-y). I have made an animation mistake, I apologise for it.

why fermions are antisymmetric in nature????