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I have been dealing with this equation all along my engineer degree. I realize that I have not grasp any of its meaning until I watched this video. Such a perfect way to describe it! thanks for the quality of this video

If you like this video, you can help more people find it in their KZfaq search engine by clicking the like button, and writing a comment. Thanks.

I'm gonna pretend like I understand this.

no words , just speechless anorher great video, thanks a lot.

You have sooooo many videos, thank you for all the hard work. I realized that physics was trying to answer all the good questions in life at a late age so I really appreciate these.

This is the first time that I have a gut feeling, that with your help I might understand Schrödinger`s Equation in 3 to 6 months. Thank you very much!

All of your presentations are elegantly presented. The incredible graphics in combination with such wonderful narration make them both mesmerizing and astonishingly intuitive! Nice work...

these videos are gold. they should be in a museum. this particular one went over my head but i have learned so much from your work. thanks again

I’ve seen this video so many times, what a wonderful work of art

Perhaps the most beautiful intuitive explanation of the Schrödinger's Equation available on the internet!😍

This is an absolutely amazing job. Thanks a lot, and congratulations for the work you've done on this. Please, dont stop never!!

Thank you again for these videos they help me understand simple daily life I have never understood people or their behaviors I apply these concepts to my daily interactions and they helped immensely this makes sense as my thinking has always been the abstract preventing me from normal socializations I use these models to help me understand people and my place within the spirit of interaction

Saw a comment you left on PBS Spacetime, fact-checking his work. Very excited to watch through your content.

Fantastic visuals, made it leaps and bounds easier to understand.

These types of videos are incredibly helpful.

Great Series of videos.The sense of intuition you develop with such high quality is just remarkable. Thanks for uploads.....

keep up the good work eugene.generations math & physics enthusiasts shall owe you.

Thanks for the soothing music, it prevented my brain from exploding.

Great job as always, Eugene. Can't wait for your other videos.

Outstanding. Again, a different visual way of understanding quantum physics, helps to understand the concept for another angle. Thank you for your great work!

A wonderful journey trough education. Thank you, Eugene!

Hey Eugene, can you please make a video on Einstein Field Equations! BTW Keep up the good work!

Very clean as usual ... good job

Love your videos!!! Good to see some people refuse to dilute their teaching for the masses

Freaking awesome video as usual. Hey I'd really like to see one of your videos about a Nuclear Fusion reactor. They seem to be pretty popular in the news and what not and it would be cool to know the science and math behind it

Absolutely superb videos, keep them coming.

I am from India. Seeing your videos in which Hindi language captions are attached, I am filled with heartfelt joy.Best wishes to you from me and India

Awesome! Another great video! Thank you! I will say though, still hoping to see a video on the metric tensors and gravity!

Just learned about this in my modern physics class.

From past two days, I've been struggling about the Schrodinger's equation. This video really helped me. I am a correspondence student and thus, self-study matters. Your channel is superb. I'm speechless. The hard work in these realistic animations and teaching is far more above than a praise. Salute !!

Beethoven's Moonlight Sonata just made me feel more melancholic and depressive while pulling my remaining hair desperately trying to understand Schrodinger's Equation

Truly one of the most beautiful and incredible equations of all time

Awesome work as always Eugene, big fan of yours!!

Honestly, these videos are so far ahead of their time. They are like the perfect learning device. I would love to know more about you! I don't think skills like this can taught so I'm going to guess it is a gift you were born with?! Your videos are genius. You are a genius.

Your videos have helped me get big grades at math and physics, thank you!

Gives me chills down my spine...great visual explanation! thanks!

OMG, this video actually taught me the Del-squared operator!

This is the best explanation of Schrödinger's equation I have seen so far! Very intuitive. Thanks!

Love what you're doing.

Better than Wikipedia for sure. Thanks, a very good detailed and amiably visual explanation, as usual. Keep up the good job.

Great videos and amazing explanations !!Thank you☺

your use of 3d animations is brilliant, I think they're not always the simplest way to understand some things but I really like this approach. Its quite unique too.

This video is an excellent complement to an introduction to Schrodinger's Equation as taught in formal university courses. It makes visualizing wavefunctions in quantum wells or corrals much easier!

Watching your videos I feel intellectually alive again. Thanks for making and sharing these videos

Thanks! The first presentation that doesn't deliberately obscure this Subject. (One never knows if the Teacher is equally confused, in such cases)...I've patiently awaited clarity like this, after much wasted labors. Your videos are conversations with Schrödinger himself. Again, many thanks, and best wishes.

So powerful

First class explanaition and superb graphics. Many thanks.

SUPERB! Thank you for this wonderful video! Instant subscription and big thumbs up!

What a marvelous work. It surely shows how the equation operates. Thousand thanks.

for a person like me who cant understand abstract things ur videos are a lifeline as it tells me what does these things actually mean.......thanks a lot...............:) :)

Finally I understood this. Before this video, I had a hard time even looking at the Schrodinger equation. I didn't know it was so straightforward, thank you, wow!

I never knew wave functions rotate like this Thank you for the intuition

This is just SUPERB.... I've never felt so clear understanding what this equation really means Thanks a lot!!!!

Most complex topics in most lucid way. You guys are doing an incredible job...

Thanks A LOT for this channel :) im loving it!

Thank you for what you did. It's wondeful!!!

Fantastic Videos! Love all these!

fantastic visualisation, this really helps visual learners like me. thanks a lot!

Nothing beats visual aids (esp animated) when tackling the more difficult concepts/information - well done!

That poor cat. lol

thank you so much for the video!

This is a fantastic video. Highly recommended. Excellent explanation of all symbols and schrodingers equation on both side of x axis. Inadvertently explained imaginary number and complex numbers in relation. Also recommend everyone watch your video on complex numbers. These videos are great.

Helping us to imagine! Great animation, great commentary! Thank you.

absolutely superb content !........as always.......Love what you are doing.......its already become a priceless reservoir of quality info......keep them coming.......with quality & quantity, well, you cant ask for more.........I urge anyone who is able to support channels like this........imo this is exactly what the net is(should be) for.......free mind candy for all !........its one way to help out the future for sure.

Eugene Khutoryansky has made a marvelous graphic video visually explaining Schrodinger's equation.

Thank you Eugene, great work. Very clear to understand.

Another great video!!

Brilliant Illustration and understanding of math. Keep it up - from India

Wow. That was soo easy to understand 😅 Thanks alot for the beautiful information!! Time to understand The Klein Gordon and Dirac Equations

Schroedinger's Wave Equation is time-varying. The rate at which clocks tick vary from place to place. For example, a gravitational gradient suffices to alter the rate at which clocks tick. For a photon, this is called the Gravitational Red Shift. This isn't a problem when one is dealing with a single particle or a collection of co-located particles that all age at the same rate. But one runs into difficulties if one tries to come up with a wave function for a distributed system, where the components are widely dispersed in space. Then one cannot have a scalar, t, which has the same value everwhere in space. It occurs to me that any number of confusing and incorrect results arise if one unrealistically tries to impose a single master clock on the cosmos.

You are saving entire semeters! Thank you very much!

Physics Vídeos by Eugene Khutoryansky, no doubts, is the best KZfaq's Channel, my friends!!! Congratulations, Eugene Khutoryansky. I love your job! I'll share on the Facebook. Ok?

If you make a PDF I will buy it, and probably I will not be the only one. This really associates the formal math and the intuition in a striking way. Well designed, brilliant accomplishment.

Really I love your videos....They help me visualize everything ..... You are awesome

I love how you broke down the Laplacian to make it understandable, as that was the part of the equation that I had the most difficult time understanding.

What an excellent presentation. Great!

Amazing depiction, thanks.

Consider the Money Field, as described by the relative ability to supply basic human needs with only money. The height does not represent a spatial dimension, but the price of 1 square foot of rental property, for our human at each location. This field gets extremely high as we enter orbit, and hits a minimum in a ring outside cities.

Very nice -- perhaps the best material one can learn in under nine minutes!

Great visualization of a very complex function...thanks.

A little advanced for my level, but I enjoyed the ease in which she conveyd the idea.Thank you for uploading.

A particle's wave function velocity is equal to a number / mass * acceleration of the particle's wave function + a different number * particle's wave function. Right?

Great explanations and visuals. You're the man!

awesome work..

thank you this video was eye opening finally makes sense!!

thank you soooooo much for an excellent video...

your way is very interesting and simple thank you very much

Thanks with your videos even modern physics seems to be easy :)

Great explanation.

Thank you, thank you!!!

It's so amazing I just read it but I wasn't able to understand it. Thanks

why is the indication of the change in the wave function (∂Ψ/∂X) when X changes not the tangent (a line following Ψ) to the wave function and rather a straight line parallel to ∂Ψ..?

As always million dollar content:)

Does the del function, which i now understand to be the 3D derivative of position, represent the gradient in the field? Some discussion of units or discrete discontinuities would be appreciated, although i also like the jargon-free symbolic approach.

Nice channel man, just found you right now through scishow comments and you've got a new subscriber : D One thing that I wish would change is the pronounciation of symbols, or rather current lack thereof for some more unusual things. Would be nice if it said "this symbol, called psi" and then just referenced psi. Just a little grudge, I really liked the explaining you gave. I had this equasition a year ago in my physics lectures and even memorized it for the exam, it's nice to finally know what it means : ) P.S. wow that's a lot of videos you've got here

Fabulous info....

very very insight vision

Hey Eugene, do you think you can do a video about k-space and the Brillouin zone? It would be a nice "sequel" to your quantum mechanics videos. Plus, with some special additions like periodic potential, you can even discuss the formation of bandgaps!

love your channel!