What causes the Pauli Exclusion Principle?

Explains exchange forces between identical particles and the origin of the Pauli Exclusion Principle. My Patreon page is at / eugenek

[@Raptor302]

Insurance Company: This is all very fascinating, but why didn't you hit your brakes sooner?

[@SuperMaDBrothers]

underrated

[@Life_42]

Lmao!

[@u.v.s.5583]

I had the hypothesis that braking the standard way was indistinguishable from reducing the speed to zero by crash. After all, the final velocity is zero in both cases. Alas, it turned out that the two states actually were distinguishable, e.g. by the amounts on medical bills.

[@liamfeatherly458]

Who are you guys lmao

[@lexnicolai1442]

@@u.v.s.5583 add energy lost in the breaking scenario (heat due to friction between disk and pads, and you’re there, same thing, same total energy, just differently distributed over place and time…

[@hetdave8679]

You deserve more recognition and views for this high quality content , These videos can make anyone understand and love Science ,I request you to keep making more videos, Sir

[@EugeneKhutoryansky]

Thanks for the compliments. More videos are on their way.

[@Amethyst_Friend]

You mean Ma'am of course.

[@TheRolemodel1337]

@@Amethyst_Friend no

[@valentinebaby2258]

Excuse me... its Ma'Am!

[@vedantsridhar8378]

@@TheRolemodel1337 the ma'am narrates but both the sir (Eugene Khutoryansky) and the ma'am produce the videos

[@volfan911]

"When dealing with quantum systems involving multiple particles, each particle does not have its own wavefunction, rather there is a single wavefunction representing all the particles." -- This was such a helpful thing to explain for a layperson like myself. I don't think I've seen this clarified in other videos, though perhaps I had missed it. Either way, thank you for clarifying that point.

[@EugeneKhutoryansky]

I am glad this clarification was helpful. Thanks.

[@QASIMARA]

@@EugeneKhutoryansky @NC absolutely brilliant!

[@arnoldduran4953]

Dude when it was put in those words - i was like ohhhh now i think im getting it😶

[@ryanlangman4266]

@pyropulse Isn’t the Copenhagen interpretation technically still viable? It interprets the waves as collapsing into a single discrete state which is said to be a particle. Even if it isn’t a very ‘good’ interpretation in my opinion, I think it’s still viable one.

[@tanakitkaewprasit3656]

What the condition that makes two different wavefunction interact to become one new wavefunction that can represent two particles? Is it distance?

[@DeAngeloYouKnow]

This is so beautiful, brought a tear to my eye.

[@EugeneKhutoryansky]

I am glad you liked my video.

[@chimetimepaprika]

I am glad I'm not the only one to get emotional about this.

[@stevenutter3614]

Yeah LSD sometimes makes me cry too. 😆

[@Ghost-vg6iq]

@ebulating Even if it is not beautiful, atleast it is the most truthful subject while every subject may fade away over time but physics remains same

[@AS-ug2vq]

It's good description of the principal but principle itself is a fabrication with little to do with the reality.

[@Milan-db3uy]

I think you are really underrated for how well these videos are made and explain some complicated topics in a relatively simple way.

[@EugeneKhutoryansky]

Thanks for the compliment.

[@akshatmandloi3278]

@@EugeneKhutoryansky sir please make video on elasticity stress and strain ... These topic are little bit contradictory and create confusion .. please sir it is request .. please explain it with strain vs stress graph 🙏🏻🙏🏻🙏🏻

[@ClarkPotter]

Where have you seen them rated poorly? Their comments section is overwhelmingly positive? I think you mean they deserve more subscribers.

[@akshatmandloi3278]

@@ClarkPotter don't fight uncle

[@sinister2423]

@@akshatmandloi3278 what part of it do you find confusing or contradictory if I may ask?

[@primeobjective5469]

The best thing to come out of 2020.

[@emiliorodriguez8104]

AoT season 4

[@godfreecharlie]

To keep watching these videos the christyun war on science education has to be won. Removing science from the classroom and replacing it with bible study is part of the christyun right's plan to put woo back in the curriculum, crosses on walls and prayer as an instructional tool. When I was beginning my education in the late 50's America led the world in most fields of science and technology, and students from around the world were desperately trying to get an American education. Trumpists have put an end to that.

[@hans_____]

@@godfreecharlie Science is the discovery of everything God has created.

[@godfreecharlie]

@@hans_____ Yeah, Im really impressed with the way he dealt with the millions upon millions of tons of excrement produced daily by the life forms on Noah's boat. That's why he's God, right? Dare you to watch another video on KZbin: kzbin.info/www/bejne/fGOnpmlsial2sNU You and every believer has been scammed.

[@mkmgcok]

@@godfreecharlie why trampists?

[@peterg76yt]

You deserve a lot of credit for producing this. The Pauli exclusion principle is hardly an easy concept (and I'm not pretending I really understand it), but I've never seen a genuine attempt at explaning it before.

[@EugeneKhutoryansky]

Thanks.

[@williamolenchenko5772]

You deserve a Nobel Prize for best physics videos.

[@EugeneKhutoryansky]

Thanks for that really great compliment.

[@DadicekCz]

The most beautiful and intuitive explanation of Pauli exclusion principle i've EVER seen! It's awesome!

[@EugeneKhutoryansky]

Thanks for the compliment.

[@huseyinnuriz]

This channel is answer to "How should people use the internet?" question. Thank you a lot!

[@quill444]

Yes, retired electrical engineer here studying quantum physics via channels such as this because it's interesting and fun. Still 2:00 sometimes I just see boobs. - j q t -

[@robertbanfic8700]

Your content is the culmination of generations upon generations of brilliant minds and educators standing on each others shoulders. You are a major contributor to human advancement, and a symbol of what it means to be human.

[@EugeneKhutoryansky]

Thanks for the really great compliment.

[@maxwellsequation4887]

This channel is great and the animation is beautiful.

[@EugeneKhutoryansky]

Thanks for the compliments.

[@theunknown4834]

@@EugeneKhutoryansky Why does the wave function rotates?

[@Shenron557]

@@theunknown4834 The wave function does not actually rotate. The rotation is shown to represent the real and imaginary parts of the wave function. Look at the axes' labels in the animations. Its kind of like this: To represent a real sine wave, you need two dimensions (lets say X and Y). If an imaginary component is also added, you will need an extra dimension to show the imaginary part. In the simple cases shown in the video, the real and imaginary components combine together which seems like a rotation. For example, if you plot the function exp(i*t) on a complex plane where t goes from 0 to 2*pi, you will see a vector rotating in the counter-clockwise direction.

[@michaelanderson4849]

You are doing an excellent job explaining fundamental physics using these visual tools in combination with the math. Far too many people are unable to understand the information using math alone and are therefore excluded from the wonderful world of natural science. And I think giving as many people as possible a chance to appreciate nature of these fundamental levels is a beautiful gift.

[@EugeneKhutoryansky]

Thanks for the compliment.

[@stevenschilizzi4104]

As usual, these animations are splendid to help with an intuitive visualisation, even if visualisation doesn’t necessarily equate with understanding. But it helps helps gain a foothold before launchng oneself into deeper waters.

[@mountainhobo]

1:44 "When dealing with quantum systems involving multiple particles, each particle does not have its own wave function, but rather there is a single wave function representing all the particles." - That's profound on so many levels.

[@ozzymandius666]

Yep. That is the root explanation of entanglement.

[@Guido_XL]

And yet, it makes so much sense, even if you have no educational background in this science whatsoever. Of course, waves will interfere with one another. That's what waves do, be they of an elastic, electromagnetic, or probability nature. The scholars of ancient times were not foolish at all when they intuitively proposed the universal music of nature. They had not yet the capacity to begin to grasp quantum-mechanics, but they already sensed that waves were vital to the total concept of it all.

[@UzairKhan-qd3xu]

i am just in 12 standard but i have read in my curriculum about atomic orbitals hybridising and making molecular orbitals! is it similar?

[@ll-oh2gz]

@@UzairKhan-qd3xu Yes very similar since the atomic orbitals can be described using wavefunctions. They can be combined symmetrically and antisymmetrically as well. These wavefunctions can be found using Schrodinger's equation and by making a few assumptions to simplify these complicated calculations to give answers (which will be approximate but still quite accurate).

[@vinitagupta4760]

Best channel for understanding physics. Love that it contains so beautiful explanations in yet simple way. THANK YOU!!

[@EugeneKhutoryansky]

Thanks for the compliments.

[@rulersonicboom4737]

One of the best Physics channels on KZbin! Great Job at animation and explaining the concept.

[@EugeneKhutoryansky]

Thanks for the compliments.

[@eddiebrown192]

The animation is the best on KZbin . Incredibly helpful . A gem of a science channel 👍

[@rulersonicboom4737]

@MichaelKingsfordGray Meaning?

[@justinwinter4908]

Thank you. I love your videos. I know it takes alot of time and energy to make these videos and it is greatly appreciated!

[@EugeneKhutoryansky]

Thanks. I appreciate your comment.

[@lawrencedoliveiro9104]

14:56 At low enough temperatures (to minimize thermal agitation), you can think of each electron pair as effectively becoming a boson. These are called Cooper pairs, and they are a key part of the mechanism of superconductivity.

[@HiQuantumSKY]

Wow man... I never thought in that way...cool

[@user-YuHaoHuang]

WUT! REALLY??!

[@HiQuantumSKY]

@@user-YuHaoHuang ya man... I was always tried to find out. How Cooper pairs works... But never understood ever... This guy just gave me insight.

[@mappingtheshit]

Wrong. Get the fuck out of here. You don’t have notion of temperature with 2 or 3 electrons.

[@huepjr5606]

@@mappingtheshit Well actually you do once you consider the fundamental definition of temperature.

[@hegel5816]

This channel is a boon for physics lovers.....♥️...

[@EugeneKhutoryansky]

Thanks.

[@michaelwang1730]

@@EugeneKhutoryansky And for physicists too

[@aleksanderboci9059]

Its a good day when you upload, thank you and we appreciate it greatly!

[@EugeneKhutoryansky]

Thanks.

[@robertovalenzuela8860]

Love this channel, thank you for tour existence

[@EugeneKhutoryansky]

Thanks. I am glad you like my videos.

[@robertovalenzuela8860]

@@EugeneKhutoryansky I dont like your videos, I love It, keep doing this amazing job

[@EugeneKhutoryansky]

Thanks.

[@Bizarro_na_chapa]

@@EugeneKhutoryansky amazing.... lost 30 years to understand such things.....🙏🏼

[@craigwall9536]

The presentation was _exquisite_ and an order of magnitude more effective than ANY other I have ever seen. Thank you from the bottom of my heart. I will now watch ALL your videos.

[@EugeneKhutoryansky]

Thanks for the compliment about my video. I hope you enjoy all my other videos too. Thanks.

[@briannahoff8589]

These videos are great! I love how you relate the math visually and give clear concept ties and explanations! Also, you do a masterful job of revisiting ideas from different angles without being redundant to give a good understanding.

[@EugeneKhutoryansky]

Thanks for the compliments about my explanations.

[@SundaralingamS]

The answer which I was searching for past 10 years. !

[@EugeneKhutoryansky]

I am glad my video was able to provide you the answer. Thanks.

[@MrGustavier]

thank you again eugene. incredible work !

[@EugeneKhutoryansky]

Thanks for the compliment.

[@FeanorPhys]

I absolutely love your content, since the beginning. Your way to understand and explain the concepts is incredible. I always share your videos with my physicist colleagues. Good job! Cheers from Brazil!

[@EugeneKhutoryansky]

Thanks for the compliments. I am glad you like my explanations. And thanks for sharing the links to my videos.

[@shaileshrana7165]

Really well made video. The way it slowly builds up concepts to explain a complicated concept is amazing.

[@EugeneKhutoryansky]

Thanks for the compliment about my video.

[@sashalachance2561]

Thank you Eugene, I appreciate your work

[@EugeneKhutoryansky]

Thanks.

[@granttaylor3697]

You have also describe perfectly an I & Q modulator, that is used in electronics, this is one of my current research projects, in the area analog signal processing and amplification. I found it very interesting as I am not into physics but understood it all, maybe this could be another approach I could take with my devopment work.

[@randommcranderson5155]

This is bar none the best explanation of the Pauli Exclusion Principle I've seen or heard. Good use of graphics to explain everything. It's an amazing achievement on its own.

[@EugeneKhutoryansky]

Thanks for the compliments about my explanation and my animations.

[@WilliamDye-willdye]

I had trouble following this video -- which is great! I love this channel because it's above my head, but within reach. With some work and no doubt several more viewings, I hope to fully understand this in the near future. Thanks!

[@finnfreas8524]

This makes me love science!

[@EugeneKhutoryansky]

Glad to hear that.

[@ivandagiant]

Thank you for uploading I love your videos

[@EugeneKhutoryansky]

Thanks. I am glad to hear that.

[@aryanshetty4567]

Thank you for making such concepts digestive. Mad props to the creater of the channel this is good food for thought

[@EugeneKhutoryansky]

Thanks. I am glad you liked my video.

[@mhd112211]

Hands down the BEST explanation possible. Visualizations are absolutely fantastic. well done.

[@EugeneKhutoryansky]

Thanks for the compliments. I am glad you like my visualizations and my explanation.

[@viktorols340]

Thanks so much for these videos, currently studying Quantum Physics and this is very enlightening

[@EugeneKhutoryansky]

Thanks. I am glad that my videos are helpful.

[@iswarp.borgohain1277]

Amazing as always ❤️

[@EugeneKhutoryansky]

Thanks.

[@swastikkalsi9586]

This is so beautifully made i literally got goosebumps

[@EugeneKhutoryansky]

Thanks for the compliment. I am glad you liked my video.

[@vladimirviktorovichivanov7577]

Отличный подход. Честное объяснение квантов на мой взгляд, гораздо лучше попыток популярного объяснения на пальцах.

[@artificialfake8308]

Бро, я понимаю лишь малую часть, но твои работы просто потрясающие, спасибо огромное за эти видео и за то, что делаешь субтитры на русском языке. Благодаря твоему каналу даже обычные люди могут прикоснуться к пониманию Вселенной.

[@frankdaze2353]

It’s true. Your visualisations are some of the most helpful videos I’ve ever seen. You do amazing work. One thing tho.. there is plenty more in the public domain than just Mozart y’know. Just sayin’ Jokes aside, I’m full of praise for you and your work 🙌🙌🙌

[@EugeneKhutoryansky]

Thanks for the compliments. I am glad you like my videos.

Your videos are a piece of art. Topics like electromagnetism or quantum mechanics are still taught in the same non-visual, non intuitive, text-equation based methods. This slow-paced 3D animations have changed the way I see electricity and given me a sense of real deep insight on what is acctually happening... Thanks a lot!

[@EugeneKhutoryansky]

Thanks for the compliments about my videos. I am glad they have helped change the way you see these topics.

[@semmering1]

We love your channel all over the globe.. Greetings from Vienna, thanks so much for this excellent content...

[@EugeneKhutoryansky]

Thanks for the compliment. I am glad you like my videos.

[@jamesbentonticer4706]

When the wave forms merge, I feel my heart race.

[@floyddog2283]

1:09 me waiting for the 2 particles to hit the wall at the same time

[@Superpellexl]

1:31 😍😍😍

[@borisdorofeev5602]

Lmao, I was doing the same exact thing every single time the particles were moving.

[@SJ-ry6br]

Your graphic explanation of physics and mathematics always makes my mind blown. Thanks a lot.

[@EugeneKhutoryansky]

Thanks.

[@tseckwr3783]

Thanks again for all your hard work in producing these videos....

[@EugeneKhutoryansky]

Thanks.

[@aidanclarke6106]

"Without Pauli, there would be no chemistry and no life" Now we know that the real name of God is Wolfgang Pauli. QED

[@firstnamesurname6550]

@MrComrade well, before manifesting himself in Earth, Pauli was applying His principle to himself ... ROFL... and now, that He was/is/will be gone forever and ever ... He is already excluded from chemistry and life ... The Infallible, dude ...

[@hipphipphurra77]

Physics comes first. No physics -> no chemistry -> no life

[@Zeegoku1007]

@@hipphipphurra77 Exactly !

[@jamesbentonticer4706]

@@hipphipphurra77 physics comes first AND last.

[@Zeegoku1007]

@MichaelKingsfordGray Indeed. God is MAN made delusion , period.

[@yamansanghavi]

We love your channel, the music, the animation, the voice, and the pace. Everything is so perfect. 😀

[@EugeneKhutoryansky]

Thanks for the compliment. I am glad you like my videos.

[@tubemaxie]

Bravo! What clarity and simplicity in explaining a highly complex subject!

[@EugeneKhutoryansky]

Thanks. I am glad you liked my explanation.

[@AndrewPrice2704]

By far, the best explanation of this I have seen :)

[@EugeneKhutoryansky]

Thanks for the compliment about my explanation.

[@tahmidt]

A one dimensional box? Now isn’t that a paradox.

[@PotionsMaster666]

Ancient Alien Scientist: *Quantum Mechanics*

[@alejandrostudiolive]

Así da gusto aprender y comprender 😃👍🏻

[@boianpeev1820]

You work is truly underrated! People like you will lift off boundaries of humanity!!

[@EugeneKhutoryansky]

Thanks for the compliment.

[@PotionsMaster666]

Your videos will be referred to in the future my m8. Excellent job 👍

[@EugeneKhutoryansky]

Thanks for the compliment.

[@ud3011]

School physics and 'PVEK' are two electrons of same orbital; they have an opposite spin....

[@rogerscottcathey]

A vortex structure of subatomic particles alone makes spin characteristics rational.

[@johnm.v709]

@@rogerscottcathey Spin of Indivisible Particle : Watch... kzbin.info/www/bejne/pJ_Op6J_fd-nhtk

[@jamesbentonticer4706]

Unless your lucky enough to have really good professors.

[@rogerscottcathey]

@@johnm.v709 : Tx. Very interesting. web.archive.org/web/20051027154116/www.navi.net/~rsc/krafft.html

[@paulokrg1]

This feels like 90s web design : )

[@bodylesspajamas]

I feel obligated to say that your videos are hands down the best physics resources I have ever seen.

[@EugeneKhutoryansky]

Thanks for the compliment.

[@prozmystery]

You deserve 100 million Subs. Best Quantum Mechanics and Theory of Relativity, in general, Best Physics Channel.

[@EugeneKhutoryansky]

Thanks for the compliments. I appreciate that.

[@garima4113]

Without watching.. i can say fantastic

[@robbietea]

I get lost when they start talking about spin, at 13:20 I can't tell how the spin affects the waveform all four animations look the same to me?

[@nisargbhavsar25]

Because the position waveform and the spin are different things.

[@ozzymandius666]

Your pedagogical technique is without peer. This particular video could segway nicely into either entanglement, the shape of orbitals in atoms, or the breakdown of quantum mechanics at general relativity singularities. Great work.

[@EugeneKhutoryansky]

Thanks for the compliments.

[@rayzorrayzor9000]

Wow, thanks for the explanation and visuals , once again with your vids I feel instead of just knowing I now understand . Eugene I am adding you to my bucket list . I would love to spend an afternoon with you in a Tea House/Coffee House/Pub/Bar just chatting about any topic that pops up , it would definitely be the most learned experience of my life. Take Care . R .

[@EugeneKhutoryansky]

I am glad you liked my video. After this pandemic is over, I would be happy to meet with you if you are in town. Thanks.

[@xanamata5386]

i was wondering exactly the same , when this video appeared. who is pauli ,to say again ?

[@ChiDraconis]

Wolfgang Pauli *g.co/kgs/TqnbJa*

[@jamesbentonticer4706]

He was a physicist active in the early construction of quantum mechanics. He helped define the structure of matter and complete the periodic table of elements.

[@kierandonovan8413]

An associate of tony soprano

[@vex_ahlia7]

YES!!!!! Finally MOZART...!!!!

[@dag97mtz]

Wonderful! Thank you for your videos! I never miss one. :)

[@EugeneKhutoryansky]

Thanks. I am glad you like my videos.

[@arnoldduran4953]

Its explained so well that I think that even I was able to grasp some idea of the implications and importance of the discovery of the principle. Subbed immediatly

[@EugeneKhutoryansky]

Thanks and I am glad to have you as a subscriber.

[@esu7116]

it should be *hue = arg(Ψ)* or am I wrong?

[@tehdusto]

I think you're right but non-physicists might be like "u wot m8" if they wrote that.

[@scepticalchymist]

I can't help but I find the background music distracting.

[@musiclife015]

Yes! This is what we’ve been waiting for!!

[@znotft]

You are simply amazing! These videos are really inspiring.

[@EugeneKhutoryansky]

Thanks.

[@atil4]

Thank you for making many of us understand finally this principle. I wonder if you had in mind any video about quantum field theory, is also a subject that has been always complicated to imagine. Thank you for the quality of your videos.

[@EugeneKhutoryansky]

Thanks for the compliment. Quantum Field Theory is on my list of topics for future videos.

[@slehar]

Wow! I always wondered about this! GREAT explanation.

[@EugeneKhutoryansky]

Thanks. I am glad you liked my explanation.

[@Andris88q]

Thank you very much for these high quality videos! I didn't find such an explanation for these concepts of QFT, but these videos helps a lot to understand, what are those bra-ket notations and complex-valued "psi functions" are about!

[@EugeneKhutoryansky]

Thanks for the compliment about my videos. I am glad my videos are helpful.

[@stevewhitt9109]

I finally get it. After viewing this video many MANY times, I get it. This is so clever. Too many identical electrons in the same bowl spoils the soup :) Your animations are amazing and make the concepts intuitive.

[@EugeneKhutoryansky]

Thanks for the compliments about my animations.

[@vinm300]

Great video : very instructive, and explanatory.

[@EugeneKhutoryansky]

Thanks for the compliment about my video.

[@purvajoshi8947]

I am very very glad you exist. This is AWESOME content 👏👏💜🖤

[@EugeneKhutoryansky]

Thanks. I am glad you like my videos.

[@gunaysoni6792]

How have I never found this channel before. This is amazing stuff

[@EugeneKhutoryansky]

Thanks.

[@heffsf]

OK, this video on the Pauli exclusion prinicple is the best and clearest example i've ever seen, Way to go! Even my husband was able to follow it. :-)

[@EugeneKhutoryansky]

Thanks for the compliment about my video.

[@clearz3600]

I can't thank you enough for these videos. There is nothing comparable where in 20 minutes I can gain such a deep understanding of electron orbitals and lasers. It really is amazing that by just following the logic of matter being wave-like that so much of reality just inevitability pops out.,

[@EugeneKhutoryansky]

Thanks. I am glad you like my videos.

[@FirstLast-oe2jm]

your "rotating wavefunction to 2D plane" graphic is phenomenal!

[@EugeneKhutoryansky]

Thanks for the compliment.

[@Rationalific]

Great! What an excellent description! I never knew why this was the case before!

[@EugeneKhutoryansky]

Thanks.

[@nadiachrtan4418]

Nicely explained, understandable for everyone.

[@EugeneKhutoryansky]

Thanks.

[@moonblade6230]

*The more you learn the more you earn* Great work sir...keep going... *You deserve 10M subs..*

[@EugeneKhutoryansky]

Thanks.

[@nikitavasilev7829]

Thanks a lot for this high brilliant explanation! It really blew my mind how you show wave functions as curves rotating with time around the real axes, its a beutifull intuition!

[@nikitavasilev7829]

u desreve mor views! I really hope it is paying well what you are doing

[@EugeneKhutoryansky]

Thanks for the compliments. I show this in many of my videos.

[@judo-rob5197]

Thanks for making and posting these animated videos.

[@EugeneKhutoryansky]

Thanks. I am glad you like my videos.

[@ConVivo]

Fantastic and easily-followed explanation!

[@EugeneKhutoryansky]

Thanks for the compliment.

[@kagannasuhbeyoglu]

Very instructive for amateurs like me. Thanks a lot Eugene Khutoryansky👍

[@EugeneKhutoryansky]

Thanks.

[@rajsub3884]

What a beautiful explanation of such difficult topic with graphics Just amazing science is .no words to express

[@EugeneKhutoryansky]

Thanks for the compliments about my video.

[@krishkumar9224]

How this is possible only 700000 subscribers in this channel .

[@miladjl5790]

great as ever. Thanks, dear Eugene.

[@EugeneKhutoryansky]

Thanks.

[@enotdetcelfer]

Honestly, wish they would just teach this first. I feel like it demystifies everything else. Wonderfully clear explanation and I love the pauses so we have a moment with the animation.

[@EugeneKhutoryansky]

Thanks. Glad you liked my explanation.

[@olbluelips]

It's amazing how something like waves describes features of our reality at both the fundamental and macroscopic levels

[@DJ_Force]

This is one of the best science channels on KZbin!

[@EugeneKhutoryansky]

Thanks.

[@konradswart4069]

Great video, Eugene Khutoryansky!

[@EugeneKhutoryansky]

Glad you liked my video. Thanks.

[@noobdriver2639]

Absolutely love your content

[@EugeneKhutoryansky]

Thanks. I am glad you like my videos.

[@mrx42]

Most Professors are not even aware of this... I am sure Pauli himself was not. Thanks a lot for this clear explanation! If you came up with this explanation by yourself, publish it!

[@EugeneKhutoryansky]

This explanation is available in text books. Though, I came up with the idea of how to show it in my animations. Thanks for the compliment.

[@johnnycash4034]

Thank you. This explains things clearly. Thank you.

[@EugeneKhutoryansky]

Thanks.

[@seb612schuth]

This is absurdly good! 😱😱❤❤❤