Lecture 3: The Wave Function

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MIT OpenCourseWare

MIT OpenCourseWare

10 років тому

MIT 8.04 Quantum Physics I, Spring 2013
View the complete course: ocw.mit.edu/8-04S13
Instructor: Allan Adams
In this lecture, Prof. Adams introduces wave functions as the fundamental quantity in describing quantum systems. Basic properties of wavefunctions are covered. Uncertainty and superposition are reiterated in the language of wavefunctions.
License: Creative Commons BY-NC-SA
More information at ocw.mit.edu/terms
More courses at ocw.mit.edu

КОМЕНТАРІ: 756
@anthonybrakus5280
@anthonybrakus5280 2 місяці тому
Big up to MIT for offering these OCW lectures. I have learned Calculus, Classic Physics, Linear and Abstract Algebra, and Quantum Physics and I didn't even have to pay late library book fees. 👍🏾 Thanks MIT, for being conscientious and gracious! 🎉💥🪅🎇🤸🏽‍♂️🕺🏿💃🏼🎆🎊🙏🏾
@priscillacharlot8188
@priscillacharlot8188 2 місяці тому
Amazing !
@AlexTrusk91
@AlexTrusk91 8 років тому
i think this kind of high quality content makes the world a better place for seekers.
@stauffap
@stauffap 6 років тому
First you need to find it though. If you haven't figured out the value of science and scientific institutions yet you might end up "learning" "quantum mechanics" from "what the bleep" or Deepak Chopra, instead of learning it from MIT. The truth seems to be, that for many people it's hard to get on the right track without some type of guidance. They'll get sidetracked by conspiracy theories, fraudulent claims and various pseudo-sciences. And that may be understandable, since we haven't evolved to perceive or understand reality accurately. Furthermore our success (as a species) seems to be largely based on an accumulation of knowledge i.e. learning from other people and building upon that. So it's understandable that people can not see the value of the scientific method or scientific institutions. Scientific thinking isn't something, that has come naturally to us. It's not something that people just come up with themselves. So for most people it requires a person, who introduces them to science, leads them into the right direction, makes them ask the right questions etc. If you lack that you might not be very likely to end up here.
@jacobvandijk6525
@jacobvandijk6525 4 роки тому
You obviously missed this: 53:13. Think about it.
@AlexTrusk91
@AlexTrusk91 3 роки тому
@@stauffap 4 years after my comment I'm not really any further with this lecture series. But started multiple other lectures on different topics like Human Behavioural Biology from Stanford. I'm also thinking of finally trythe problem sets, but I guess I maybe would be hit by a wall then. So I probably gonna try it anyways.
@stauffap
@stauffap 3 роки тому
@@AlexTrusk91 You should definately try problem sets. You never fully understand physics if you can't do the math (you might just have the illusion that you understand it). I meet people all the time, who think that they understand a certain topic in physics, because they have developped a more or less accurate intuition, but they fail when confronted with having to calculate something and often fail as well with their intution. The ultimate test to whether or not you understand a certain topic in physics is always doing problem sets that involve math (and preferably understanding the derivations).
@Abhi-mt4dn
@Abhi-mt4dn 3 роки тому
@@stauffap And can you help me abt problem sets like from where and how i should start to solve them like pre requisites and everything , i would really appreciate it
@willcatch
@willcatch 3 роки тому
Whoever filmed this did a great job. Panning and framing. Spot on.
@scowell
@scowell 2 роки тому
Would have been nice to see his laptop screen as direct instead of through the projector... still, a wonderful job as you said.
@Darthvanger
@Darthvanger 2 роки тому
@@scowell wow wow, we're not talking about THAT much advanced technology here.
@ashlynparrott7130
@ashlynparrott7130 Рік тому
Fell asleep watching a ghost hunting video, woke up and this was on my TV thanks to autoplay. I didn't even feel groggy waking up because I was so alarmed by how good of a teacher this guy is. I'm more of a molecular biology person but I think I'll continue watching these!
@whelan4545
@whelan4545 8 років тому
love this guys passion
@r58302
@r58302 2 місяці тому
An absolutely perfect lecturer
@lukelively4732
@lukelively4732 6 років тому
I wish I took school more seriously as a kid so I could go to this school. This professor is amazing and I love his passion.
@bogdantokarski2798
@bogdantokarski2798 2 роки тому
So do I.
@softwareminimalist
@softwareminimalist 2 роки тому
Yeah, you can learn now.
@Darthvanger
@Darthvanger 2 роки тому
I've seen a few other lectures from the other teachers and I didn't like them as much as these ones. I think this is a gem, and we should appreciate we can watch the best of the best for free. It's not limited to the 100 of the smartest hardworking kids anymore and it's awesome!
@mississippijohnfahey7175
@mississippijohnfahey7175 Рік тому
This is better though. All the learning with none of the crippling loans, egotistical teachers, or crushing deadlines! Einstein figured out SR while working as a patent clerk (though he did have a decent undergrad education)
@RaidenShogun1145
@RaidenShogun1145 Рік тому
You can always work harder now.
@weechinghwa8440
@weechinghwa8440 3 роки тому
Teaching in MIT is like a superstar singing on stage. Everyone claps for the good performance.. Holy moly
@Tikorous
@Tikorous 3 роки тому
People get excited when I stop speaking too, probably for a different reason
@mahinvasavada2992
@mahinvasavada2992 29 днів тому
A class that ends with an applause. That is how all classes should be.
@annehinrichs22
@annehinrichs22 3 роки тому
Oh my goood, how can this be so much better than at my university?? The whole structure and order in which this is taught are just so clear!!
@Ne012
@Ne012 3 роки тому
MIT is a very prestigious university. Very low acceptance rate because they take the cream of the crop in student's. If they do that for their students you can only imagine how they select their professors.
@patinho5589
@patinho5589 3 роки тому
@@Ne012 yeah but : I went to Cambridge.. very selective on students.. terrible lecturing and teaching in general in the subject I studied which was economics.
@justindamirgian5977
@justindamirgian5977 Рік тому
They put him in camera for a reason. I imagine they have good and bad professors also
@aussiedog5221
@aussiedog5221 Рік тому
Six years ago, after I retired, I went through these lectures and the second semester with Dr. Zwiebach. Simply outstanding. I am back for a bit of review. Thanks Dr. Adams and Dr. Zwiebach.
@josephhall5681
@josephhall5681 9 місяців тому
;Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.😢hh O❤ ❤❤❤
@poopoostinky1064
@poopoostinky1064 3 роки тому
I wish I could get into MIT. These lectures have me hooked in a way I’ve never been hooked before. I’m trying my hardest to understand and I think I’m getting there
@michellewest6929
@michellewest6929 3 роки тому
You’ll make it there! I wish you all the best! You deserve to be there.
@olekbeluga314
@olekbeluga314 2 роки тому
I don't think that matters here. What he's saying doesn't apply to MIT.
@josephflynn9560
@josephflynn9560 6 років тому
I love this so much. Trying to decide on Electrical Engineering or Physics. Did a long stint with the Marines and now using G.I. bill at a wonderful community college for freshman year. I have not been in school for a long time lol. MIT is still a dream and it feels SO good to be able to just listen. Watching these videos let's me know that I AM smart enough to sit here, even if life may not allow it right now. To be able to touch my mind to something I have wanted since I was a child is a gift and I wanted to say thank you to MIT and Prof Adams for doing this. One day, even if I am retired, I will take a degree at MIT , so stay awesome!!!!
@yorichixX
@yorichixX 2 роки тому
i did bachelors in electrical engineering now i am going to switch to masters in physics!
@maxwellpineiro
@maxwellpineiro 9 місяців тому
How is it all going ?
@2Worlds_and_InBetween
@2Worlds_and_InBetween 3 місяці тому
I was the kid at school who said I wanted to be a Physicist when I grow up... (... grow up.... something I might get round to one day ;-) and got told, "there's no point we already know everything" by the _teacher_ I went on to do mechanical and computer engineering with Physics /QM as the stuff I do for fun. but its more just a love of learning stuff do what you enjoy
@ams1749
@ams1749 2 роки тому
I have my class 11 English language exam tomorrow, and here I am at 10 pm learning about wave functions,(this lecture is amazing and addictive though).
@jorgecastro5834
@jorgecastro5834 2 роки тому
I love the way the teacher brings those abstract postulates to live. In so doing he makes quantum mechanics crystal clear. He does it so well that one can not help feeling that there can't be a better way to put it (and I have thought about it several times). This work is invaluable! Just brilliant.
@nc-broadcast
@nc-broadcast 5 років тому
Absolutely in awe at what Dr. Adams can do with just whiteboard and chalk. In another life perhaps I'd be in that classroom, or better yet in another world, following the Many Worlds interpretation of this beautiful subject.
@FreshBeatles
@FreshBeatles 5 років тому
Great lecture. Can't wait for the free pizza at 5!
@Andrewtmcb
@Andrewtmcb 5 років тому
LMAO!!! xD
@NovaWarrior77
@NovaWarrior77 4 роки тому
Dang. I missed it by 3 years...
@putzak
@putzak 3 роки тому
The pizza is an imaginary component probably
@josef596
@josef596 2 роки тому
@@NovaWarrior77 - I missed it by 4.
@BenTzionZuckier
@BenTzionZuckier 2 роки тому
Wait it said free pizza at 5, not at 120…?
@paulboro5278
@paulboro5278 3 роки тому
You are my favorite teacher. I watched these lectures for the first time about four years ago. Because of these lectures, I have a very good understanding of basic quantum mechanics. I just completed my post-graduation from IIT Guwahati recently. These lectures were very helpful during the last four years.
@IndrajitSen_TxState
@IndrajitSen_TxState 2 роки тому
Truth be told, your IIT professors must learn pedagogy from these professors.
@paulboro5278
@paulboro5278 2 роки тому
@itchy armpits I majored in physics.
@theawantikamishra
@theawantikamishra Рік тому
Engineering Physics?
@MadScientist267
@MadScientist267 3 місяці тому
I'm never going to directly use any of this but that hasn't kept me from trying to just understand it for my own curiosity. Never know when something will appear at the edges of something else and come in handy. This dude has come the closest so far to getting me there 🤣
@santiagoarce5672
@santiagoarce5672 3 роки тому
Man, I love this lecturer! He's so enthusiastic!
@jesse2450
@jesse2450 Рік тому
I wish there was a UKposts channel with instructors who are obviously super interested in the topic they are teaching regardless of the subject
@olekbeluga314
@olekbeluga314 2 роки тому
These lectures were very helpful in turning my room into a physics laboratory as I attempt to re-create the Hitachi experiment using homebrewed CRTs. It was not, however, all that helpful in subsiding my extreme existential terror. I'm going to be seeing things that go through neither both holes, nor one of the holes, nor none of the holes in my nightmares now. Thanks a lot, guys.
@schmetterling4477
@schmetterling4477 2 роки тому
Here, kid, have a cookie. :-)
@marcostala
@marcostala 8 років тому
I studied Telecommunications engineering. And now I realized that I was not that far to be studying formulas to be applied to Quantum mechanics. I mean, all these mathematical functions of waves are almost the same. Of course it helps that I was reading and watching lots of videos about the "double slit experiment" and such, to know what are you talking about. But I never expected I would understand so much about Mathematics of the Quantum Mechanics. It is all about Waves.... This concept of uncertainty (given by waves) is driving me crazy (in a good way) This is the first Quantum Mechanics Lesson that I can "somehow" follow! Thank You!! Amazing Professor!!!
@victorfergn
@victorfergn 6 років тому
Physicists always try to use the same math, it was the kind of math especially designed for them.
@ginnyjollykidd
@ginnyjollykidd 5 років тому
The concepts are easier to understand when you know the language, like psi and B*B
@dooterino
@dooterino 8 років тому
9:32 When he realizes how long we've been working on quantum theory he looks like a father proud of his son's progress. If I weren't dedicated to applying physics in the more esoteric corners of computer engineering that moment alone would have pushed me into pure physics.
@brandonklein1
@brandonklein1 6 років тому
High school senior here, I'm actually fascinated with that EXACT field!
@nickb4302
@nickb4302 7 років тому
It's amazing how accurate certain aspects of quantum mechanics can be calculated. They're basically just determining odds and they still get the right answer based on experiment. Weird.
@dadestor
@dadestor 2 роки тому
Let me sound smart and say that is empirical knowledge 😌
@sandipchakraborty184
@sandipchakraborty184 4 роки тому
MIT is the only great source of quality education which is accessible to all.Thanks really i am greatly thankful to mit for giving the world a opportunity to become capable.
@Ne012
@Ne012 3 роки тому
So thankful now of all the hard work I put into Fourier series and transforms and convolution that I can do these problem sets.
@mohammadkhalili3247
@mohammadkhalili3247 9 місяців тому
your lecture is captivating, dear Allan! especially about superposition concept, i always just notice to math rule, but it has interesting physical meaning.
@MrMachi95
@MrMachi95 8 років тому
play ride of the Valkyrie when he asks for it, fits beautifully.
@isaacmchugh6384
@isaacmchugh6384 5 років тому
This is the best TV show I've ever watched
@nkeny1307
@nkeny1307 7 років тому
Watching these for fun. What a great professor!
@alexbillingham9593
@alexbillingham9593 7 років тому
same. its completely irrelevant to my school work but its just so damn interesting
@financewithsom485
@financewithsom485 6 років тому
Watching before 1 day of exams
@ismaelmelendez2710
@ismaelmelendez2710 4 роки тому
SOMMAN EDU did you pass? Are you now a quantum theorist
@roku6194
@roku6194 2 роки тому
@@financewithsom485 how did they go
@financewithsom485
@financewithsom485 2 роки тому
@@roku6194i am a software engineer now studied mechanical engineering that time this comment is 4 years back 😂
@tanvec
@tanvec 2 роки тому
11:54 "Happy electrons" this guy is the Bob Ross of Quantum
@Ztingjammer
@Ztingjammer 4 роки тому
Came to his first lecture thanks to 3B1B, and here I am intending to go through as much as I can from Allan Adams ❣
@learning4951
@learning4951 2 роки тому
In which video did he refer to allan?
@Mohamedkassr
@Mohamedkassr 9 років тому
Prof.John Admis, I couldn't express my thanks for your awesome lecture. Wave fns / Fourier series and transform notes. Also you're ready to any questions. Thanks :) for all things
@IliaToli
@IliaToli 7 років тому
You guys are too awesome. I finally start understanding quantum mechanics. I am a mathematician, chemist and aerospace engineer, but not a physicist. It is particularly hard to explain quantum mechanics to me, but you are outstanding. Will write my PhD thesis in quantum chemistry, which means that I can't have enough of quantum mechanics.
@JimBob1937
@JimBob1937 5 років тому
Ken, that's an odd statement. Obviously, in context, he is stating that a level of comprehension has personally been reached by him with enough confidence to state he is 'understanding' the current level of knowledge we hold. Obviously he isn't stating he's reached a mastery level of understanding that entirely exceeds that of all humankind to date... that would be a large assertion indeed.
@ginnyjollykidd
@ginnyjollykidd 5 років тому
Quantum chemistry sounds awesome!
@NazriB
@NazriB 2 роки тому
Lies again? WTF WOF
@jaje69
@jaje69 2 роки тому
I paused the video and started Ride of the Valkyries for the III postulate. Definitely added something to it.
@zevikan8638
@zevikan8638 8 років тому
proved to be a major help in understanding the uncertainty principle : )
@kehaarable
@kehaarable 2 роки тому
but how can you be sure?
@occhams1
@occhams1 7 років тому
I liked the StrongBad reference at 40:02 :) very subtle.
@drzecelectric4302
@drzecelectric4302 4 роки тому
Just what I need right now. Thank you!!
@user-vv9yd1jp6q
@user-vv9yd1jp6q 8 місяців тому
This is the one subject that still holds my attention.
@shijiechai9780
@shijiechai9780 8 років тому
Thank you very much for such excellent demonstration!!
@edwardhayes1314
@edwardhayes1314 7 місяців тому
The teacher and course lecture is awesome, very professional. excellent job
@sameertomar5099
@sameertomar5099 3 роки тому
One of the best Professors
@JohnVKaravitis
@JohnVKaravitis 5 років тому
58:54 VERY slick teachable moment here. THIS shows that this guy knows his shit and gives a damn that the students can see how things connect.
@jwomqha
@jwomqha 7 років тому
What a great teacher
@timothylovecock4332
@timothylovecock4332 8 років тому
The lecturer is fantastic.
@christofchaos
@christofchaos 5 років тому
@1:00:12 Localized particles have less localized momentum because the momenta of the composite waves are cancelling and interfering with each other. Likewise, applying energy to the particles packet of waves causes the particle to move, albeit with some uncertain probability as to the direction/speed of movement. This movement reduces the coherence of the particle, and we become less certain as to where it is located. What is being described is the movement of a particle through space, but only if the particle is a secondary reaction created by the interfering waves. Try to imagine the amount of waves (EM or otherwise) passing through us at any second. Now imagine these waves all form the standing particles that make us up. They are highly localized, and their individual momenta are uncertain. But when we apply a macro-force to the system, the momenta of all these particles becomes more certain, and they become less coherent in the static, localized positions they were in before. As the waves re-settle, they regroup, becoming coherent again with all the particles being reformed in a different place and once again, localized.
@back81192
@back81192 4 роки тому
This course is just fantastic!!!
@nemethma
@nemethma 9 місяців тому
20 years ago I had these same types of classes. No clue what was going on at the time. Now I get it. Maybe can go get that A I was looking for!
@xazau-
@xazau- 11 днів тому
This guy is good! A lot better than any of the physics classes I took!
@deveshverma9125
@deveshverma9125 4 роки тому
The professor is amazing
@tanyadeeedmondson-wl7vi
@tanyadeeedmondson-wl7vi 2 місяці тому
Thank you all so very much.
@daveconerly1450
@daveconerly1450 3 роки тому
This was one of my professors at MIT a while back. The class was exremely hard. He was a genius of course. . He talked pretty fast when teaching. . If for any reason you got behind , it was almost impossible to catch up.
@karabomothupi9759
@karabomothupi9759 3 роки тому
Did you graduate?
@MrsBreeFree
@MrsBreeFree 7 років тому
Really cool lecture! I am from germany and go to University here, but your Profs seems really excited to teach and he makes fun jokes, its so easy to listen to him :)
@AJ5
@AJ5 2 роки тому
I study at a Fachhochschule and yet I'm here watching these videos instead
@artistpw
@artistpw 7 місяців тому
Really love the content available on youtube.
@cbk41
@cbk41 8 років тому
Dr. Benedict Gross from Harvard stated in his Abstract Algebra lectures that you could never know enough linear algebra. Seems like the big point of the decomposition of wave functions into their linear combinations and superposition helps to illustrate both of their points.
@xrisku
@xrisku 6 років тому
great lecture series. thanks!
@tempestvideos9834
@tempestvideos9834 6 місяців тому
In his mind the epic depth of what he is teaching is the objective gospel. Flight of the Valkyries... Passionate dude.
@WowUrFcknHxC
@WowUrFcknHxC 4 місяці тому
I've never had a college professor that is so good at teaching they get applause at the end of a lecture...
@nanoprehistoric
@nanoprehistoric 5 років тому
17:30 the moment i realized that he wrote his own name as a wave function! Hahaha
@ogradus
@ogradus 3 роки тому
1:17:00 I think the Geiger counter messed with the camera and microphone for a second based off the angle of that plate while you were reading it. Cool!
@arrabalimaz622
@arrabalimaz622 4 роки тому
I understand here in sir here till the 2019 and I had seen there 1 million subscription now it's 2.5 approx I'm quite happy
@Baked_Noodle
@Baked_Noodle Рік тому
This lecture is love.
@maurocruz1824
@maurocruz1824 7 років тому
{X,P}= complete knowledge. Postulate 1: Wave function. Postulate 2: The wave function is a kind of 'generator function' of the probability that the particle actually be in certain x position. 26:30 Postulate 3: The states of the system are closed under linear combinations. Mathematica package. Fourier transform.
@WonderersWondering
@WonderersWondering Рік тому
amazing lecture
@user-km2tp5lo7e
@user-km2tp5lo7e 3 дні тому
Thanks for the insight
@Stylax32
@Stylax32 7 років тому
great lecture,,,
@CHistrue
@CHistrue 9 років тому
Some favorites: "Schrodinger's Cat, Wanted Dead And Alive" "Heisenberg Might Have Slept Here." And my own awful addition: "Mathematicians consider it risque when infinities cancel. Physicists are more tolerant. They do not mind if it happens during energy jumps as long as it is discrete!" Thumb this up if it is not completely horrible. My humor might have to be renormalized!
@nachik09
@nachik09 9 років тому
This is awesome!
@CHistrue
@CHistrue 9 років тому
Nachiketa Ramesh Here is one not directly related to quantum physics, but reasonably funny none the less: "Entropy---It may not be the first bad law to keep a good man down but it is definitely the Second!"
@nachik09
@nachik09 9 років тому
CHistrue I didn't get this one. Second law of thermodynamics right? What man? How did it keep him down X(
@CHistrue
@CHistrue 9 років тому
Nachiketa Ramesh Well, you know, it ruins the perfect closed system. No perpetual motion machines. I guess if I have to explain it, the humor misses. Should I try again?
@nachik09
@nachik09 9 років тому
CHistrue Yes please!!
@biohazard5702
@biohazard5702 10 місяців тому
At 9:30 he just realized how crazy this science is at what he is teaching and the enormous exponential Research and knowledge we gain and how fast we went from X to y in such a small space of time
@biohazard5702
@biohazard5702 10 місяців тому
I think he has add or ADHD cause I am the same when I look and notice what's Ian saying " I'am like dude whaooooo are your even realizing what you're saying"
@gattac900
@gattac900 7 років тому
Please make more videos with Allen Adams! other Physics classes?
@LeonardGimson-zf7ry
@LeonardGimson-zf7ry 4 місяці тому
Very great professor, very interesting way to teach
@KipIngram
@KipIngram 4 роки тому
I 100% approve of the emphasis on dimensional analysis.
@charliecooper7458
@charliecooper7458 Рік тому
IVE SEEN YOUR COMMENTS ON QUORA, You’re awesome!!
@KipIngram
@KipIngram Рік тому
@@charliecooper7458 Oh hey man, thank you. Let me make clear I am not a physicist. I'm actually an electrical engineer by training, and ever since graduate school 35 years ago I've just been really interested in physics and truly enjoy trying to help other people understand it. Alongside that, I have a few positions that aren't what you'd call "mainstream" (most re: consciousness), but I try to point those out if I mention them on Quora. Thanks for the kind words - I hope you have a great weekend. Stay safe and well!
@jandejongh
@jandejongh 2 роки тому
Thanks Prof. Adams; absolutely brilliant intro into QM (not that I would know, I'm EE :-)). But just in case viewers need a perhaps equally well-taught lecture series on Fourier: There's an excellent treatment on this topic by Brad Osgood from Stanford available on YT. Highly recommendend!
@Jamony1
@Jamony1 7 років тому
Wow, a passionate physics lecturer :o
@user-vv9yd1jp6q
@user-vv9yd1jp6q 8 місяців тому
41:33 both sides of the equation are superposition in gravitational contraction
@saifamu1989
@saifamu1989 4 роки тому
That was very intuitive
@jagergaming2281
@jagergaming2281 5 років тому
when the wavefunction is your signature
@Anomander888
@Anomander888 2 роки тому
This man is so funny . Creativity is intelligence having fun in motion right here .
@junaidtufail4510
@junaidtufail4510 6 років тому
great work
@Dwaynefries1
@Dwaynefries1 6 років тому
I was taking a calculus class and trying to figure a way to handle an integral of an infinite slope. I felt I had an explaination, and it turns out that my description was correct, though I did not know a technical definition, which turned out to be a kronical delta. To that end, the first stupid function descriped, it appears to me that it can be simply remapped through a manifold, more clearly straightening the function in away that multiple values are not taken. In that way, it reverts back to what I would call a kronical delta again, and there is once again a 1 to 1 function created, removing the stupidity. This is my opinion though. Anyone have thoughts or am I way off base?
@JaredAllegretta
@JaredAllegretta 4 місяці тому
Exactly 40:00 - a very subtle homestar runner reference.
@therealrictuar
@therealrictuar 6 років тому
52:40 dont the cross terms have different signs because the norm squared is complex conjugate*function? so we end up with e^(i(b-a))+e^(i(a-b)), which is actually the sum of cosins? so we get cos(b-a)+cos(a-b)? so one might expect something that looks like big small small repeating?
@0xaugustus
@0xaugustus 7 років тому
Are the recitation videos available? Thanks
@emanuellandeholm5657
@emanuellandeholm5657 2 роки тому
Love this series! One question, why is the professor writing integrals like Int (the infinitesimal) (the function)?
@jackgude3969
@jackgude3969 7 місяців тому
1:17:08 - I love how happy he is as he says "It's got uranium in it!"
@SilentKiller-ug8sb
@SilentKiller-ug8sb 3 місяці тому
I LOVE THIS GUY
@tarubewildin6931
@tarubewildin6931 6 років тому
this guy is great
@danielnofal
@danielnofal Рік тому
Amazing MIT
@hasanshirazi9535
@hasanshirazi9535 5 років тому
When the Prof. rubs the chalk off the black board, doesn't it go into his open coffee bottle?
@grandpaobvious
@grandpaobvious 4 роки тому
Chalk is nontoxic when consumed in moderation.
@hasanshirazi9535
@hasanshirazi9535 4 роки тому
@@grandpaobvious Yes, may be Calcium in it is even beneficial for the bones!
@shivam1996able
@shivam1996able 3 роки тому
if youre paying attention...the chalk is already in the coffee bottle, and also not in the coffee bottle
@abderrahimbenmoussa4359
@abderrahimbenmoussa4359 3 роки тому
There is.probably a function to assess that
@jean-lucfacade6219
@jean-lucfacade6219 2 роки тому
Here I am. Looking forward to an hour long lecture on the Wave Function.
@schmetterling4477
@schmetterling4477 2 роки тому
Did you learn something?
@frede1905
@frede1905 3 роки тому
There's something I don't understand: I've learned that quantum wave functions can be described as a "ket vector" in an abstract vector space called Hilbert space. The position wave function, for example, used to express the probability of finding the particle at a point, can be described as a vector in an infinite dimensional Hilbert space. But we also have the wave function used to describe spin ("spinor"), and this wave function exists in a 2-dimensional Hilbert space. So my question is, what is the relationship between these two different wave functions? I've also heard that the wave function contains everything that there is to know about the particle, but I'm like, "which wave function 😭😧?" I would be really thankful if someone could help!
@paulryan94
@paulryan94 3 роки тому
The spatial wave function in the Schrodinger picture, psi, is not the same as a ket vector, | psi >. psi is the projection of |psi> onto the position basis: psi = < x | psi > | psi > holds all the information of the general quantum state and can be projected onto different basis's. That's why it's so useful. For example the momentum wave function can be arrived at by projecting | psi > onto the momentum basis: psi = < p | psi > But if you had just psi, the 'wave function', you still have a full picture of the quantum state because you can go to the ket | psi > from it.
@frede1905
@frede1905 3 роки тому
@@paulryan94 Thank you for your answer, but the question I asked above was answered on physics stack exchange right after I made my comment. So it's no longer something that confuses me :). Here's the link to the question and answer on the site, if you're interested: physics.stackexchange.com/questions/560132/wave-function-as-a-ket-vector-in-a-hilbert-space
@devansh6816
@devansh6816 2 роки тому
Thanks this was really helpful for my grade 11th Quantum mechanics chapter 😀
@Peace-ey5hn
@Peace-ey5hn 6 років тому
IMO, a "quantum vibrational wave/ripple" is set off at the point where the electron is fired. A quantum aerodynamics of sorts. The wave precedes the electron. It is this wave that is responsible for the distribution pattern as each electron, even though fired 1 at a time, is carried on it. It explains the "probability" of where each would land. When you try to measure the electron, it is not the "conscious" act of doing it that causes the electrons to behave as particles, but it's because you break the wave. Thus, as there is no wave for the electron to ride on, it will come through the slit as an independent particle.
@lukelyon5917
@lukelyon5917 8 років тому
I'm a little confused around 28 minutes or so (dealing with the probability when psi(x) is a simple sinusoid). If |psi(x)|^2 equals some constant value for all x, then the improper integral from negative infinity to infinity can't possibly be equal to 1, right? If the limit as x->infinity of the probability function doesn't equal zero, then the integral must diverge. Does this just mean that Psi(x) can't possibly be of the form e^ikx?
@TheDiabolocraft
@TheDiabolocraft 6 місяців тому
I had quantum physics classes in 2018 taught by some brilliant nutter who couldn't teach a class to save his life... Smart but just terrible. What a great time it was
@anyuru
@anyuru 2 роки тому
38:30 "This is what quantum mechanics is all about" *pulls down board and shows "Free Pizza"*
@BandhanGoyal
@BandhanGoyal 5 років тому
At 59:53 - there need not be a wavelength for a momentum (unless we are presuming it a wave beforehand). E.g. A cyclist riding a bike has a momentum but no wavelength. Please clarify.
@najahlassad8951
@najahlassad8951 7 років тому
Thank you very much
@cademosley4886
@cademosley4886 Рік тому
Now that UKposts provides an overlay graph of the most watched parts of the videos when you hover the mouse over the timeline, I find it pleasing that that graph has two peaks, a smaller peak at 6:25 and a larger peak at 36:37. Remind you of anything? =)
@brabantstad384
@brabantstad384 7 років тому
this is very good online material
@EnchantedGardenGnome
@EnchantedGardenGnome 8 місяців тому
Anybody got any idea which movie he was talking about?
@accidentalelectrolytic216
@accidentalelectrolytic216 Рік тому
how would these equations change if we wanted to incorporate three dimensions of time instead of just one dimension (aka point in time, now.)?
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