Trapped Quantum Particles

[@linelinelinelinep440]

babe wake up new physics video by eugene

[@orvinal2883]

Khutoryansky

[@thirukumaran747]

😂😂😂😂

[@sorrychangedmyusername3594]

Glad to be alive

[@pedrocruz4409]

@Sessival I’m not sure you can smash n pay attention

[@Ariccio123]

Valentine's day relationship goals

[@antonbooker6507]

Hooray, a new video! I absolutely love these videos. Please don't change the style. I love the pacing, audio, voice, visualizations, everything! I plan on donating soon. ;)

[@EugeneKhutoryansky]

Thanks for the compliments and I very much appreciate your interest in donating. Thank you very much!!!

[@lancelovecraft5913]

I would like to echo ur comment bc these vids are great!

[@Skhillz_FN]

@@EugeneKhutoryansky yeah seriously these videos as they are forever jolt me from the bane of my science-less existence (unable to attend University as of current) I deeply appreciate the autodidactism you provide me with in the meantime and can never you thank enough Please always be maximum in depth and don't be afraid to throw a little math our way from time to time

[@nadiachrtan4418]

Agree, the style of explaining makes a huge different how people should view physics.

[@WilliamDye-willdye]

These videos are so good that when I'm trying to visualize physics equations, I sometimes start to hear Ms. Vincent's voice in my head.

[@EugeneKhutoryansky]

I am glad you like my videos. Thanks.

[@ShredEngineerPhD]

3:40 is the most beautiful illustration of standing waves I have ever seen. It is an optical illusion, seeing forward and backward waves traveling in a flat projection, but at the same time recognizing their static nature within three-dimensional space.

[@EugeneKhutoryansky]

Thanks for the compliment about my animation.

[@jordivilaioliveras]

It's really amazing to be able to visualize things so abstract as a wavelenght. Thank you for this wonderful work!

[@EugeneKhutoryansky]

Thanks for the compliment.

[@justinbrat]

I think it's quite ingenious

[@AK56fire]

Brilliant video as always.. You have raised the bar so high that it's near impossible for other to come at par with your videos and explanation.. Totally loved it.

[@EugeneKhutoryansky]

Thanks for the really great compliments.

[@chan_for]

First few words which came out of mouth when discovering dis channel: F* dis is Gold

[@shutupimlearning]

Your videos are so enlightening, they concisely answer all "basic" questions that when I ask to lecturers, are normally answered mathematically rather then conceptually. I hate when I don't truly understand basic concepts because when I move to "higher order" concepts I'm just monotonously answering the question via formulae - e.g if X is 10 then y is 5 ect,ect... rather then truly gasping and idea of the problem holistically. So the way I learn in University makes me no different to a computer really. Thank you for reminding me why I love physics so much

[@EugeneKhutoryansky]

Thanks. I am glad you like my videos. Yes, this is a problem with the way these and other topics are taught in universities. Students learn how to solve the equations, while having no concept of what the equations are representing. This is because the professors don't understand it themselves either, as they are just teaching the subject the same way it was taught to them.

[@theonlyramankumar8359]

No physics channel can beat this channel... Even an illiterate can understand your explanation properly...

[@EugeneKhutoryansky]

Thanks for the compliment.

[@theonlyramankumar8359]

@@EugeneKhutoryansky you are awesome...

[@feynstein1004]

ScienceClic English would like to know your location

[@theonlyramankumar8359]

@@EugeneKhutoryansky Hey Eugene, can you please explain Tenet movie with your animation stuff... The main logic behind it???

[@antares1694]

I've been with you since before your first thousand subscribes. And I intend to stay an admirer of your content when you've reached a million, which doesn't seem to me too far in the future now. You're doing a great job of educating the masses in the most important field of study there is. I hope you get much farther...

[@EugeneKhutoryansky]

Thanks for the compliments.

[@vague-rant666]

Truly an underrated channel. 100% This page keeps me interested in the MATHEMATICS and purpose of math. Not just running though the steps. Seriously love this channel.

[@EugeneKhutoryansky]

Thanks. I am glad you like my videos.

[@hayder7365]

I think this channel and these videos are better than most of the universities in the worlds. This channel is an entire university

[@EugeneKhutoryansky]

Thanks for the compliment.

[@arindamdutta2941]

Amazingly explained, it is really motivate me to learn more with clear conception. Love from India.

[@EugeneKhutoryansky]

Thanks. I am glad you liked my explanation.

[@sleepful1917]

nobody asked where you live man

[@adayinthelife5496]

I wish I had this visualization 25 years ago. The written math gets so abstract.

[@maxwellsequation4887]

Idk you could've used 🧠

[@somanshbudhwar]

Hated physics in school. Now enjoying it. Thanks.

[@EugeneKhutoryansky]

Thanks.

[@soufyanechouli8524]

Please don't change and make more of these videos, I never understood fully these facts until now :)

[@EugeneKhutoryansky]

More videos are on their way. Thanks.

[@pedrovelazquez138]

I love your videos. The content is so easy to understand. Greetings from Paraguay.

[@EugeneKhutoryansky]

Thanks. I am glad you like my videos. Greetings from Houston.

[@mahinshahrier7022]

@@EugeneKhutoryansky Eugene you gotta be more enthusiastic in the comments, you worked hard in the videos, best physics channel on KZbin, you deserve praise!

[@EugeneKhutoryansky]

Mahin, thanks for the compliment.

[@moorfox61]

Your videos are incredibly enlighting. Every single one of them gives me at least one AHA moment. Thank you so much, this really inspires me!

[@EugeneKhutoryansky]

Thanks. I am glad you like my videos.

[@yaskynemma9220]

I love how you make sense of this solutions with the interpretation and simple logic steps

[@lancelovecraft5913]

Excellent video. Wish I had this when I was studying QM at university. This vid is another demonstration of why you cannot know the particles position and momentum simultaneously. Love it

[@EugeneKhutoryansky]

Thanks. I am glad you liked my video.

[@TheoEvian]

this really makes you see the analogy between harmonics on a string (vibrations trapped on a string, standing waves) and trapped particles.

[@harshshukla9589]

Really enjoyed this explanation... Thanx

[@EugeneKhutoryansky]

I am glad you liked my explanation. Thanks.

[@amandeep336as]

You are doing great work. Helping future engineers,physicists, scientists learn complicated concepts so easily. Ultimately all of them will go on to make this world an even better and technologically advanced place. So you are working for the betterment of this world through your videos..keep em coming.🤗🤗

[@EugeneKhutoryansky]

Thanks for the compliments.

[@kustovas]

Вам спасибо, благодаря таким каналам понимаешь что ютуб это не только помойка, а развлечение не обязательно деградация.

[@robertlin7333]

The relationship between Frequency and Momentum should be clarified to the General Public

[@HolyG-sus]

Exactly as Steve mould said in his explanation of why sugars bend light to the right ❤

[@sagarpuri7838]

Superb explanation

[@EugeneKhutoryansky]

Thanks for the compliment.

[@hrishikasingh1552]

Love your content so much!! Keep up the good work mate!

[@EugeneKhutoryansky]

Thanks.

[@daydreamer05]

Whenever i need to understand a topic in physics i search it on KZbin as "xyz by Eugene khutoryansky" and it feels good when i get video related to that topic.

[@ranjitkalita3734]

Awesome explanation, awesome animation. This channel is the best. Keep it up👍👍👍

[@EugeneKhutoryansky]

Thanks for the compliments.

[@michaelwang1730]

Number 1 the best physics channel.

[@EugeneKhutoryansky]

Thanks for the compliment.

[@ForReadJust]

Thanks for your work Eugene! Science should be explained in layman's term and be sure you are doing a great contribution at it's democratization

[@EugeneKhutoryansky]

Thanks!

[@rakeshadhikar]

Thank you Gene ⚘

[@EugeneKhutoryansky]

You are welcome and thanks.

[@squarerootof2]

We call him little Yansky at home...

[@teemo8247]

4:04 "Which looks like a flat rotating sinewave" Best description ever lol

[@GreekHouseEffect]

What a great channel. Thank you a lot, from Greece

[@EugeneKhutoryansky]

Thanks.

[@ricksanchez9920]

love from india :) , you are true legend

[@EugeneKhutoryansky]

Thanks for the compliment.

[@kagannasuhbeyoglu]

I love this channel, very instructive.

[@EugeneKhutoryansky]

Thanks.

[@Ghhostt89]

First Btw, your animations are literally amazing.👍

[@EugeneKhutoryansky]

Thanks for the compliment about my animations.

[@squarerootof2]

Yep, it took me a while to realize it as just an animation. At first I thought it was a real particle, silly me!

[@ratheeshkumarr5052]

@@EugeneKhutoryansky How do you do this? Any Specific software?

[@EugeneKhutoryansky]

I make my 3D animations with "Poser."

[@DavidVasquez91]

there could be a video showing exactly that but with photons, and the wave function rising from energy level. or not if the photon is not absorbed.

[@satvikvarun6386]

I'm glad you exist

[@EugeneKhutoryansky]

Thanks. I am glad you like my videos.

[@BakedPhoria]

Excellent visualization of something we physically cannot see...at least for now.

[@EugeneKhutoryansky]

Thanks for the compliment about my visualization.

[@gregoryallen0001]

this is a great one thank youuuuuuu

[@EugeneKhutoryansky]

Thanks. I am glad you liked my video.

[@David-bh7hs]

When the blue and orange spirals are placed on top of each other, an optical illusion forms that causes the spirals to sometimes switch rotational direction. This is probably do to the lighting/gray background.

[@prashantlale4976]

@RamanKumar you are absolutely right and this channel's videos are better than professors. recorded long lectures actually he explains it in a nutshell and way to differently

[@EugeneKhutoryansky]

Thanks.

[@ankurkumar9660]

Best explanation, I ever seen ❤️❤️❤️❤️❤️❤️.......pls make videos on statistical physics too🙏

[@EugeneKhutoryansky]

Thanks for the compliment about my explanation. I have a video on statiscal physics at kzbin.info/www/bejne/jmPIoKCsa72ZjdE

[@ankurkumar9660]

Pls Eugene ... statistical physics is very difficult to understand 🥺........Love from india❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️

[@realcygnus]

Superb ! as always

[@EugeneKhutoryansky]

Thanks. I am glad you liked my video.

[@DavidVasquez91]

Your channel is the best. 🤘🤘🤘🤘 share

[@EugeneKhutoryansky]

Thanks for the compliment.

[@TANUJKUMARPandey9999]

Wonderful video 🤩

[@EugeneKhutoryansky]

Thanks. I am glad you liked my video.

[@ankitmishra2723]

Thanks for it

[@EugeneKhutoryansky]

You are welcome and thanks.

[@simplychaotic8619]

Trapped.. a term used in discussions about one self matter controlling another self matter.. (Trapped Matter) Moves left and right due to the conscious need of Motion towards survival.. Left to right Or right to left Fearing it's demise Though conscious awareness offers self the fear and blocks the Understanding of it being a matter of being, just being ..... Generating the elements to magnetically become polarized and showing how energy is harnessed in a cycle.. over cycle.. etc.. seasons...

[@quantummayank6851]

Thank you soo much ....😁😁... please add approximation methods in quantum mechanics.....also in your upcoming video list... please....thank you for this wonderful.. explanation 😁😁

[@EugeneKhutoryansky]

Thanks. I am glad you liked my explanation. I will add approximation methods in quantum mechanics to my list of topics of future videos. Thanks.

[@niteshsingh4177]

Great animation great content

[@EugeneKhutoryansky]

Thanks. I am glad you liked my video.

[@firstcommenter202]

This is a very original way of looking at the Schrodinger equation. Maybe can also do some videos on tunneling and scattering..,.

[@EugeneKhutoryansky]

I have a video on Quantum Tunnerling at kzbin.info/www/bejne/iHealXeqaNmJo6s

[@brandonklein1]

If you made a video on the quantum mechanical depiction of the hydrogen atom, it very well could be the best on KZbin.

[@EugeneKhutoryansky]

That is in my list of topics for future videos. Thanks.

[@brandonklein1]

@@EugeneKhutoryansky I'll gladly donate to support👍. The importance of easily accessible videos such as these cannot be overstated.

[@EugeneKhutoryansky]

I very much appreciate your interest in donating. Thank you very much.

[@ManyHeavens42]

If you put a particle in a Box thats the lattice the Particle will always be in the corners of the Energy Grid, Informational being in the corners

[@mathhelp9440]

Please kindly admin. come from cambodia. I want to know how to got action for math like your vedeo. What can I do that? It is good for math education.

[@ManyHeavens42]

My friend there is no boundaries.*

[@odeia18]

amazing as always. thank you

[@EugeneKhutoryansky]

I am glad you liked my video. Thanks.

[@shunyo7885]

Please make a video on dielectric and its relaxation

[@EugeneKhutoryansky]

I cover dielectrics in my video on Maxwell's laws of electromagnetism at kzbin.info/www/bejne/b4XQY5Zsg697ars

[@SorokinAU]

Thank you, very good work!

[@EugeneKhutoryansky]

Thanks. I am glad you liked my video.

[@AK-tk1qh]

Epic as always

[@kruger5597]

Does the box have a wave function? Would its wavefunction be affected by a particle. If so, could the impact of the particle determine a direction of movement?

[@EugeneKhutoryansky]

The "box" can be an electric field that confines a charged particle. The electric field would actually be the result of many photons interacting. The complete explanation would involve Quantum Electrodynamics, which describes the interaction of our charged particle with all these photons.

[@stathis2037]

This is wicked awesome!🤯

[@EugeneKhutoryansky]

Thanks. I am glad you liked my video.

[@physicslover1950]

My mentor, this video was great and outstanding😱😱😘😘. I didn't know the reason why the wave function of a trapped quantum particle in a box looks like a standing wave. Wow your explanation was great 😍😍 the wave function moving towards right and left interference to produce that beautiful waveform. 💖💖 My mentor, I have recently made some animations regarding this topic. If you permit me, should I send them to you via email?

[@EugeneKhutoryansky]

Thanks. I am glad you liked my video. Feel free to send me an email. Thanks.

[@physicslover1950]

@@EugeneKhutoryansky My mentor in reality the orbits are not circular i.e the orbitals are 3 dimensional. For instance , the S orbital. Lets say that it is a spherical orbit. I saw from your video on waves that how an electron trapped in 2 dimensions look like. In this video you demonstrated the wave function of a particle in a confined length ( 1D) and in you video on "waves and the nature of reality" you demolished the wave function of a particle in a confined area ( 2D) i.e rectangular surface area. The clip that I sent was representing wave function of a particle in a single circular dimension. I was just wondering what will a wave function of an electron look like in a spherical surface area. i.e 3D spherical coordinate system. I would be very thankful to you If you somehow make that animation. My mentor. Please 😌😌 I am very impatient to see how the wave function of a particle would look like if the particle is moving in a spherical surface (area). 🙄🙄

[@EugeneKhutoryansky]

I would have to think about how to do the animations for quantum waves on a 3D spherical area. Though, I think that if we are going to try to simulate a 3D spherical surface area, then we might as well simulate the actual 3D schrodinger equation for the electron orbitals of atoms. Thanks.

[@physicslover1950]

@@EugeneKhutoryansky Yes please 😱😱🙋🙋 My mentor, I really impatiently 😊want to see the simulation of actual 3D schrodinger equation for the electrons orbitals of atoms. I don't even know how the Schrodinger wave functions of two or more interacting particles will look like in 3D 😢😢. Your video on Paul's Exclusion principle shows a rectangular surface area. I wanted to know if that same simulation of quantum waves of Paul's Exclusion Principle can be done on a 3D spherical area 🙄😌. My mentor Your videos are the best on KZbin 💞💞.

[@EugeneKhutoryansky]

Thanks for the compliment about my videos. The issue is that I am not yet sure how to do this animation.

[@tunatutuncu2221]

Thank you for the amazing vids!

[@EugeneKhutoryansky]

Thanks. I am glad you like my videos.

[@prakharsoni6406]

You are brilliant. Its fun to watch your videos. But, how can a wave function be imaginary.

[@EugeneKhutoryansky]

Thanks for the compliment. Wavefunctions are described mathematically using complex numbers, which have a real component and an imaginary component.

[@viniciusfernandes2303]

Thanks for the video!

[@EugeneKhutoryansky]

Thanks.

[@mamtabhardwaj6236]

Tasty animation❤❤

[@gluonic]

Great Work!

[@EugeneKhutoryansky]

Thanks. I am glad you liked my video.

[@gluonic]

@@EugeneKhutoryansky No problem, keep it up!

[@applejack9482]

Great video!!

[@EugeneKhutoryansky]

Thanks. I am glad you liked it.

[@pawelperkowski1971]

Really good job!

[@EugeneKhutoryansky]

Thanks.

[@nikhilsiwach117]

Make a video on QUANTUM ZENO effect please

[@EugeneKhutoryansky]

The Quantum Zeno effect is on my list of topics for future videos. Thanks.

[@stormtrooper9404]

@@EugeneKhutoryansky I would also love to see an explanation of Chirality from you Eugene! There's literaly no one that could pull these explanations clearer and more understandable than you! What a wonderful channel!

[@EugeneKhutoryansky]

I briefly discuss Chirality in my video on the Weak Nuclear Force at kzbin.info/www/bejne/n3q6hYWtf9GlfdE

[@llbaebae147]

Thank youuuuuu for you work

[@EugeneKhutoryansky]

Thanks. I am glad you like my videos.

[@edwardsd6967]

Шикарно и лаконично, Спасибо!

[@EugeneKhutoryansky]

Спасибо.

[@alex-rs6ts]

Great vídeo!

[@EugeneKhutoryansky]

Thanks. I am glad you liked my video.

[@RovingPunster]

This should help my Snooker game immesurably ... heisenberg pun intended. 😂

[@IAmNotARobotPinkySwear]

0:40 - "amplitude is the same everywhere" never have I seen a video that explains what this mean visually until now. Thank you. I'm guessing the amplitude "projects" into the complex plane? And is it amplitude analogous to having the same "radius" or distance from the origin/number line?

[@physicslover1950]

My mentor please make a video on " The mechanics of nuclear Explosions and the science behind the formation of shockwave " . How it can destroy the whole city? How much time it takes the shockwave to reach different places after the bomb exploded (emitting blinding flashes) My mentor It would be great if you compare the asteroid impact with nuclear explosions at the end of the video and visually tell us " Why asteroid strikes are more disastrous than nuclear strikes?" . My mentor will you please send me the list of your future videos. Please please please.

[@caiolopezcomz]

Audio and music in this video are way better

[@mahxylim7983]

Thank you!

[@EugeneKhutoryansky]

You are welcome and thanks.

[@daydreamer05]

Please make a video on "why wave function of high energetic quantum particle is more wavy?" Please

[@EugeneKhutoryansky]

This is covered in the following videos: Quantum Wave Function Visualization -- kzbin.info/www/bejne/gXzVamSsbN5_ma8 Quantum Operators -- kzbin.info/www/bejne/govMlmWHeJp9mMU Schrodinger's Equation -- kzbin.info/www/bejne/oKfZnKKjmNKsq9E

[@aswinibanerjee6261]

Which software you use for these beautiful animations

[@EugeneKhutoryansky]

I make my 3D animations with "Poser." Thanks for the compliment about my animations.

[@aswinibanerjee6261]

@@EugeneKhutoryansky and the graphs ?

[@EugeneKhutoryansky]

I write Python scripts that Poser is able to read and execute. These scripts, for example, arrange all the spheres to show a waveform.

[@kevinlee597]

Is this a valid reasoning? Or is it something like a corollary? I'm currently studying QM, and it's surprising to see that you can define the standing wave this way, instead of mathematical terms.

[@ThomasBomb45]

This is mathematical terms, just visualized

[@EugeneKhutoryansky]

A standing wave can be decomposed into two waves moving in opposite directions. I have another animation showing this in my video "Phase Velocity versus Group Velocity" at kzbin.info/www/bejne/e3rUfHpric6Gj9U

[@squarerootof2]

Maybe you surprise too easily...

[@kevinlee597]

@@EugeneKhutoryanskyOh, it seems quite obvious for real waves. I've never really thought to relate it to the particle itself. But then again, particles are indeed waves. Maybe I was too focused on the math, solving equations and doing calculations. Thank you so much for the video.

[@DrDeuteron]

two plane waves with opposite momentum = exp(i(kx-wt)) + exp(i(-kx-wt)) = [exp(ikx)+exp(-ikx)]exp(-iwt)= cos(ikx) * exp(-iwt) = flat rotating sine wave

[@grevel1376]

Do you create the animations by yourself? I would love to see you collaborating with some blender artist on one new video, such as Curtis Holt, or Daniel Krafft.

[@EugeneKhutoryansky]

Yes, I make all my animations myself. I make my 3D animations with "Poser."

[@sharadkumarsingh4802]

Can you do a special video on how all the math is done for your videos?

[@EugeneKhutoryansky]

I have videos that cover the mathematics. For example, for quantum wavefunctions, the math is covered in the following videos, among others. Thanks. Quantum Wave Function Visualization -- kzbin.info/www/bejne/gXzVamSsbN5_ma8 Quantum Operators -- kzbin.info/www/bejne/govMlmWHeJp9mMU Schrodinger's Equation -- kzbin.info/www/bejne/oKfZnKKjmNKsq9E

[@Nikos10]

Are photons rotating electromagnetic waves? What about polarized photons?

[@bernardolozano7429]

Today is a good day

[@tablamasterravi]

Now I understand quantum foundation

[@hayder7365]

Can you make a video on wavelet transform. Thanks

[@EugeneKhutoryansky]

Wavelet Transform is on my list of topics for future videos. Thanks.

[@foxhound1008]

How would the wave function change when the particle impacts one side of the box, or the other, exchanging momentum, and possibly energy, with the box? If the probability of the “particle” itself being at the boundary is zero, does that mean the momentum exchange is carried out by long range forces? In other words, the term “impact” does not have a physical meaning at the quantum level. At least how people view impacts macroscopic sense.

[@EugeneKhutoryansky]

The "box" can be an electric field that confines a charged particle. The electric field would actually be the result of many photons interacting. The complete explanation would involve Quantum Electrodynamics, which describes the interaction of our charged particle with all these photons.

[@mikkel715]

Small question: When moving direction, do we multiply with "-i" for rotating wave function at right direction momentum, and "i" for left momentum? (-0.xxi / 0.xxi --- Right / Left)

[@EugeneKhutoryansky]

The full equation for the wavefunction, which consists of the sums of the wavefunctions moving to the left and to the right, is the following: Amplitude * [ e^(i k x) + e^(-i k x) ] * e^( -i * Energy * t / ħ)

[@mikkel715]

@@EugeneKhutoryansky Thanks. I look into your video about the equation and calculus. It cannot be so hard :)

[@jacoblund8289]

Excellent video as always Eugene :) does anyone know the name of the song used?

[@EugeneKhutoryansky]

Thanks for the compliment. The music is "Stale_Mate" from the free KZbin audio library.

[@jacoblund8289]

@@EugeneKhutoryansky Thanks!!

[@cerimite7674]

What would the wave function of a particle look like in a time reversal symmetry system?

[@otinflewer539]

Initial Momentum, or motion of every particle in the universe could possibly be linked with the expansion of space. If linear time is the collective direction of the entire universe as the space around every particle expands. In a spontaneous event, it can therefore be assumed that the expansion of space happens around each particle individually, in a helical geometry, creating the momentary uncertainty of particle position. If we study the reference frame we can not determine the particle position and if we focus on the particle, we are unable to estimate the frame the of reference there fore unable to determine change in position with respect to time. Thus the uncertainty. It could be the link between particles in the universe and the expansion of the universe. And would answer the most basic question of where the expansion is happening. It is happening around every particle. Is it possible, that this expansion is actually a property of the particle and not only a primordial bang? That is why when mass changes to energy, the linear direction of time is effected and the space ripples through outwards in all directions adding energy to the system (creating more space time). And the opposite could also be true with certain entropy conditions.

[@FSundquist1]

What is the interpretation of the nodes of the wave function ("flat rotating [green] sine wave", 3:40)? These two positions on the x-axis are always zero... Does this imply there is no chance of ever observing the particle there? If so, does the particle teleport across this distance, or is it perhaps wrong to even ask about the nature of its movement when it is existing as a superposition? Is the only possible way for the particle to visit the 1/3 and 2/3 locations when under the watchful eye of some observer? Thank you thank you thank you for your videos Eugene!

[@EugeneKhutoryansky]

The idea is that the particles doesn't have a position until we observe it. Hence, we don't have to worry about how the particle crossed the point with zero probability, since this question implies that the particle always has a position, even when we are not observing it. Though there is a lot of debate about this. I cover the various philosophical interpretations of quantum mechanics at kzbin.info/www/bejne/joKVZnhvnNpnp6s

[@FSundquist1]

Thank you for your time!

[@bojournersouthern2641]

What particles make up the box that holds the quantum particle?

[@EugeneKhutoryansky]

The "box" can be electric fields holding an electrically charged particle inside.

[@shutupimlearning]

Hello Eugene I'm currently trying to understand the consequences of general relativity and black hole phenomena. I'm trying to gain some intuition on "frame dragging" and its apparent similarity to electromagnetic induction as a "counter-balance" to an objects rotation. Would you be able to do a video on frame dragging and its relation to black holes(or all pairs of objects in close proximity-motion), I would appreciate it very much thank you!

[@EugeneKhutoryansky]

Perhaps you will find my video on Gravito-electromagnetism helpful. It is at kzbin.info/www/bejne/qHypq4luqLt3qaM

[@electronicshaverightstolive]

Cool!

[@carpcarpbread]

Lovely video! One question though, why doesn't the same thing happen to a free particle? Is it not the case that it could also be moving in either direction, leading to superpositions of spirals in opposite directions?

[@EugeneKhutoryansky]

Yes, this could happen to a free particle. I was referring to free particles where we know the direction of the momentum.

[@carpcarpbread]

@@EugeneKhutoryansky Oh. If so, then can the direction of momentum be known for the trapped particle? What does its wave function look like?

[@EugeneKhutoryansky]

I don't believe so, because otherwise the wave function would violate the boundary condition, which says that the amplitude must be near zero at the boundary of the box.

[@carpcarpbread]

@@EugeneKhutoryansky Wow, that is really interesting. I wonder what the wave function would look like once somebody measures the momentum!

[@constpegasus]

Does this show particles are waves?