Why The Schrodinger Equation Fails at Relativity

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Andrew Dotson

Andrew Dotson

5 жыл бұрын

Why did Schrodinger go through with a non-relativistic quantum mechanics, when special relativity was published twenty years before the Schrodinger equation? And how do we know the Schrodinger equation is in fact, non-relativistic?
Klein-Gordon Derivation:
• Deriving The Klein Gor...

Пікірлер: 448
@AndrewDotsonvideos
@AndrewDotsonvideos 5 жыл бұрын
A correct submission has been made!
@K24_ej1
@K24_ej1 5 жыл бұрын
Andrew Dotson How long did it take you to get to this point in your understanding of physics? My question comes from the fact that I am 27, but only recently decided to change directions in life to push towards my true passion of majoring in physics and seeing where it takes me. Anyways, just curious man. Thanks in advance.
@possiblepilotdeviation5791
@possiblepilotdeviation5791 5 жыл бұрын
@@K24_ej1 Romans, I can't speak for Andrew, obviously, but I can briefly tell you my experience. I decided to make a career change when I was 28. I was in a dead end job with no prospects, so I decided to start working on a Physics degree at my local University as a part time student (2 classes per semester). Bear in mind that I already had a degree (art related), so I did not need to take my General Education classes again, just the math and science courses. I kind of had to reshape my entire life. I needed to keep a full time job to pay the bills, so I applied for and finally found a full-time clerical position at the school I was attending. I was able to get a tuition discount from the school since I was an employee, use my lunch break for classes, etc. That was about 4 years ago. I'm almost 32 now. I graduate this coming May. I have a bunch of applications out right now to graduate schools to hopefully start my PhD work in the Fall. If you are dedicated, persistent, and perhaps a bit obsessive compulsive than anyone can learn the material. It's the whole "4 years of your life" thing that will stop most people. It's been a major undertaking, but worth every second for me, especially since I can finally see the light at the end of the tunnel. The material he is covering here is, truth be told, not overly complex. It's certainly not beginner material, but it's not the most complicated either. Good luck with whatever you decide.
@K24_ej1
@K24_ej1 5 жыл бұрын
Lyle Arnett, Jr Thank you for the reply Lyle. That definitely gives me a boost in confidence since we seem to be (were) living in the same boat. Dead end job. GE our of the way in college etc. I’ll take note of the things you said. I do appreciate it. 🙏🏻 thanks so much.
@mikasaackermann8736
@mikasaackermann8736 5 жыл бұрын
Lyle Arnett, Jr What kind of art did you study, and why did it lead you to a dead end job? Asking 5 a friend
@carlosvargas2907
@carlosvargas2907 5 жыл бұрын
@@K24_ej1 You'll do well, man. Go on!
@jibran8410
@jibran8410 5 жыл бұрын
Lvl 1 crook : Schrodinger Lvl 100 Boss : Dirac *THAT'S HOW QUANTUM MECHANICS WORKS*
@arroyhondo
@arroyhondo 5 жыл бұрын
Mike Warrecker that’s how mafia works
@wotchadave
@wotchadave 5 жыл бұрын
What does that make Feynman?
@ffggddss
@ffggddss 5 жыл бұрын
C'mon now, Schrödinger still did a very useful thing there! Just as we don't need even Special Relativity to do a lot of physics, we can still do a lot of QM with Schrödinger's Equation. It gives us quantized energy levels for confined particles, hydrogen wave functions, quantum tunneling, etc., etc. Fred
@jibran8410
@jibran8410 5 жыл бұрын
@@ffggddss Yes I understand, it's just a joke going on around here on the internet with lvl 1 crooks and lvl 100 boss.
@ffggddss
@ffggddss 5 жыл бұрын
@@jibran8410 OK, thanks for the warning. I'll be on the lookout for that ;-) Fred
@marcusrosales3344
@marcusrosales3344 5 жыл бұрын
Huh? Did I just get assigned homework?
@dibidus6080
@dibidus6080 4 жыл бұрын
Why am I watching Wolverine's lost brother talk about quantum mechanics at 1 am? We may never know.
@sce2aux464
@sce2aux464 4 жыл бұрын
And after this video, I watched...kzfaq.info/get/bejne/a91zn8eI1M6oeZs.html
@EpicMathTime
@EpicMathTime 5 жыл бұрын
You are going to be an incredible lecturer and physicist.
@krishnasimha8097
@krishnasimha8097 3 жыл бұрын
Hey epic math time
@alexp1113
@alexp1113 5 жыл бұрын
Do you hype yourself up before saying, “What’s going on smart people”? It’s always on point.
@AndrewDotsonvideos
@AndrewDotsonvideos 5 жыл бұрын
I'm just naturally hype af
@hotlinkster123
@hotlinkster123 5 жыл бұрын
The first time a youtube recommendation has actually been good. Subscribed!
@AndrewDotsonvideos
@AndrewDotsonvideos 5 жыл бұрын
Malcolm Hall awesome!
@masoomladka5646
@masoomladka5646 3 жыл бұрын
@@AndrewDotsonvideos 😭😂😂
@pwkn86
@pwkn86 5 жыл бұрын
Schrodinger did an OPPSIE!
@jamestheotherone742
@jamestheotherone742 4 жыл бұрын
But still hoodwinked a generation of mathematicians, physicists, sundry academics , politicians, and generals and made off like a bandit.
@woofle4830
@woofle4830 4 жыл бұрын
Both the schrodinger equation and relativity work... so what point is anyone trying to prove here?
@Nebukanezzer
@Nebukanezzer 4 жыл бұрын
@@woofle4830 but not together.
@woofle4830
@woofle4830 4 жыл бұрын
Ohok
@juanjoserodriguezvera2405
@juanjoserodriguezvera2405 3 жыл бұрын
@@Nebukanezzer exactly and with this demostration we define one of the problems scientists want to solve
@WesSlEy954
@WesSlEy954 4 жыл бұрын
I’m proud of myself for being able to keep up with all the calculus going on here
@Shanksdan
@Shanksdan 5 жыл бұрын
Glad to have stumbled upon your channel. Physics is really all about asking yourself why something is wrong/ right and actually calculating the answer by yourself (and of course, coming up with a hand waving argument before ).
@argentinephenomenologist
@argentinephenomenologist 5 жыл бұрын
I like the initial explanation, and I love the fact that there's so much I'll get the chance to learn in some time to understand the following part. Greetings!
@williamky8842
@williamky8842 4 жыл бұрын
The only explanation my lecturers give us was SE doesn’t treat spacetime on equal footing, KG and Dirac does Nice to see some more detailed explanations
@ElSachinoo
@ElSachinoo 4 жыл бұрын
Nice! Another pre-maths observation: The Schrodinger equation (for a free particle) has a fixed mass value, which is also a relativistic red flag. Another decent exercise: Showing the Schrodinger equation is invariant under Galilean transformations - this also lets you see that mass defines a superselection variable in nonrelativistic QM ('Bargmann mass superselection rule').
@Ricocossa1
@Ricocossa1 5 жыл бұрын
5:06 This is why we often express vectors of the holonomic basis as ∂i , since there is really an equivalence between vectors and directional derivatives as well as how vectors and partial derivatives transform. In good old flat space this is just a curiosity, but this is crucial in Riemannian geometry where you want to define a tangent space without an embedding. The tangent space can be defined as some abstract vector space made out of directional derivative operators.
@Lakers661Socal
@Lakers661Socal 5 жыл бұрын
I swear physics should also count as a second language.🐈🤯
@ClayonTutorials
@ClayonTutorials 5 жыл бұрын
Math is literally a language, and so is logic. Look up formal systems and formal languages for more information. English is a natural language (along with the rest of the spoken languages).
@nosirrahx
@nosirrahx 5 жыл бұрын
@@ClayonTutorials I was going to say something similar. Physics is a nation, they speak calculus there.
@wolflarsen1900
@wolflarsen1900 5 жыл бұрын
math, logic, geometrie are per definition languages. All Equations are sentences about quatitative or countable relations of individual elements of a defined universal set and so on. They all have the same structure as normal languages, they have a syntax, a semantics and a truth value and the only thing which can be true is a sentence (ok in normal language its utterances, which include context and sentence, because in normal languages there is also a context principle)
@narata1541
@narata1541 5 жыл бұрын
@@ClayonTutorials True, but I'd rather order my food in any other language than math. 😊
@ClayonTutorials
@ClayonTutorials 5 жыл бұрын
@@narata1541 But you should always "order" your internet using math: kzfaq.info/get/bejne/kJl5g7mIs5OVm6c.html.
@Ohmau33
@Ohmau33 3 жыл бұрын
I love coming back to these videos and understanding them a little more each time
@sahilnaik3079
@sahilnaik3079 5 жыл бұрын
Aha I love these videos. Tell me who doesn't want to watch that after waking up. Great video!!!
@pushingpositivity518
@pushingpositivity518 5 жыл бұрын
I like your videos. You definitely know your stuff. Also i like your shortcut videos an they way you do integrals & differentiating. Thank you.
@michaeljburt
@michaeljburt 5 жыл бұрын
Extraordinarily clear explanation of the mathematics of both Lorentz transforms and how to apply it to an equation involving space and time. Absolutely fantastic. So many folks talking about these aspects of physics have never done the math. It is abundantly clear that you have, likely many times over.
@yenco4
@yenco4 5 жыл бұрын
Grandioso encontrar un canal así y con tanta naturalidad
@thebigoeuph
@thebigoeuph 5 жыл бұрын
For my class that I TA'd for, we actually did that as an extra credit assignment...
@rituparnakundu2022
@rituparnakundu2022 5 жыл бұрын
Thank you Andrew for showing the rigorous calculation . I like to point out that without going through the long functional derivative part for the 2nd order term you can just square it. (d/dx)^2 = (rhs)^2. That will give the same result and a big time saver.
@worldedit8784
@worldedit8784 5 жыл бұрын
I'm so happy I found this channel!!!
@featherinescat
@featherinescat 5 жыл бұрын
In anime world, mentioning Schrodinger will make you smart
@danielbachour9987
@danielbachour9987 4 жыл бұрын
Awesome man! I'm new here! Didn't know about your channel! it's amazing! And of course, already subscribed!! Keep the work going!!
@thelocalsage
@thelocalsage 5 жыл бұрын
Really liked this video! Would like to see more like this.
@doodelay
@doodelay 5 жыл бұрын
Watching this I'm so proud of you bro, you understand this shit like it's second nature. And I know that took crazy effort. Will meet you at the top someday
@exegetor
@exegetor 5 жыл бұрын
subbed. (decided by the 4min mark) Please keep doing this Andrew!
@commaspace2196
@commaspace2196 5 жыл бұрын
You could've made this way easier by approximating the whole thing to be 3.1
@philippjohannsen6217
@philippjohannsen6217 5 жыл бұрын
Great stuff with this homework thing going on. Looking forward to more challenges :))
@DrGamez123
@DrGamez123 4 жыл бұрын
doing quantum physics at uni RN, hyped to ask this question in class to make everyone roll their eyes, and for the lecturer to get slightly annoyed
@Sciencationelle
@Sciencationelle 4 жыл бұрын
I've got a real question. Love your vids, bringing some real physics on youtube, that's juste pure kindness and it is quiet satisfying to watch :) But in your video you said multiple time that "Schrödinger's eq. leads to wave equation" I'm not quite sure, this is what De Broglie said "stationary wave" but in fact all the Schrödinger's eq. solution's aren't wave, the solution are just "stationary state" without the proper form of a wave eq. Anyway that's what I've been told. I would to hear you on that one :) !
@brianel-khoury885
@brianel-khoury885 4 жыл бұрын
Love the medium level of rigour. I subscribed. Keep it up.
@materiasacra
@materiasacra 4 жыл бұрын
Instead of working out the coordinate transformation, one can glance briefly at the equation itself. It expresses the non-relativistic relation between total, kinetic and potential energy in the operator form required by Quantum Mechanics: E = p^2/2m + V. This is essentially different from the relation in Special Relativity. Done.
@ThimbaDM
@ThimbaDM 5 жыл бұрын
My god this looks and sounds so tough. I going through high school, studying mathematics and physics and I'm about to apply for a university and try to get my masters in medical physics. Feels like I have a long way to go when I compare my high school material to this. Oh well.. I'm not afraid of hard work.
@CaridorcTergilti
@CaridorcTergilti 4 жыл бұрын
Do not worry this calculation Is very easy, just standard derivation and substitution. You will understand It fully in a few years
@Calilasseia
@Calilasseia 4 жыл бұрын
Nice and concise. I could think of a few lecturers who would do well to emulate this performance. :)
@peterwan9076
@peterwan9076 2 жыл бұрын
Great work. Keep it up. Enjoy your video very much.
@isaaccastro7853
@isaaccastro7853 4 жыл бұрын
Glad to have just stumbled upon this!
@mislavnorsic6681
@mislavnorsic6681 4 жыл бұрын
awsome video, try to add some mic to your place so that sound can be captured when you are not faceing the camera.
@mokopa
@mokopa 4 жыл бұрын
3:25 It was at this point that i gave the video a like, and settled in for the long haul
@bobbypederson
@bobbypederson 5 жыл бұрын
I wish I was able to understand this video so I could do the challenge at the end
@AndrewDotsonvideos
@AndrewDotsonvideos 5 жыл бұрын
What there anything specific that was unclear that I can work on?
@bobbypederson
@bobbypederson 5 жыл бұрын
@@AndrewDotsonvideos oh no, it's not your bad, just a bit of a lack of understanding on my part.
@rufusapplebee1428
@rufusapplebee1428 4 жыл бұрын
@@AndrewDotsonvideos formulations in applications is algorithms. I am not smart enough to follow formulations, always. Takes me long time to get to the applications, then guess the algorithms and then look at the formulations and definitions of the universes and multiverses. The attempted long term goals of the algorithms is to change the definitions.
@Zaalatrix
@Zaalatrix 5 жыл бұрын
Great video Andrew! One question though: Since v(x,t) = \frac{ \partial x}{ \partial t }, should't you also differentiate the v^2 terms when you Lorentz transform? Cheers, Henrik
@marioangelov113
@marioangelov113 6 ай бұрын
No, he doesn't differentiate them, because v is constant, so that makes the whole γ factor a constant. Because v is the velocity of the moving inertial reference frame S'. If v was a function of t that would mean, that S' is not inertial, because it would have acceleration.
@zhelyo_physics
@zhelyo_physics Жыл бұрын
Fantastic video!
@brandonmartin9416
@brandonmartin9416 4 жыл бұрын
I don’t know what the hell is happening, and I’m not a physics major, but I continue to watch anyways.
@christianfunintuscany1147
@christianfunintuscany1147 4 жыл бұрын
Hi Andrew! Regarding the Schrodinger work and the process he used to find his equation it may be useful to read his article on Physical Review n.6 Vol.28 December, 1926. In pragraph n.10 he explains why he didn’t include a relativistic analisis.
@subramanyam2699
@subramanyam2699 5 жыл бұрын
Got so many connections in one video.. Tnx :)
@joaopedroaguiarfmatos1473
@joaopedroaguiarfmatos1473 4 жыл бұрын
i just saw partial derivatives at university,im feeling really smart for understanding ate least 10% of this video
@wolframalpha8634
@wolframalpha8634 5 жыл бұрын
You made my day !
@vinirn
@vinirn 4 жыл бұрын
I've subscribed to your channel at the first minute of the video.
@katherinebolwellbyme
@katherinebolwellbyme 8 ай бұрын
I forgot how to do the chain rule, this was a great explanation/refresher. P.s. I never knew that a mu could be written as a little m.
@katherinebolwellbyme
@katherinebolwellbyme 8 ай бұрын
Also it's not pronounced d
@pipertripp
@pipertripp 5 жыл бұрын
Good craic. Enjoyed even if I have only the dimmest understanding of quantum mechanics.
@flaviusclaudius7510
@flaviusclaudius7510 4 жыл бұрын
I was always confused when I heard that the Schrödinger equation was non-relativistic, when I knew you could just sub in a relativistic Hamiltonian and it just works (being identical to the Dirac equation); I didn't realise that 'the Schrödinger equation' and 'the general Schrödinger equation' were considered distinct, because I'd always only been taught the latter i.e. id/dt=H. I guess this makes sense now.
@beingphysicist4180
@beingphysicist4180 2 жыл бұрын
Thank you sir .
@rederillos
@rederillos 5 жыл бұрын
You have helped me with my tfg :)
@suryavasanth6893
@suryavasanth6893 4 жыл бұрын
I love quantum physics after I saw ur lecture.
@Wecoc1
@Wecoc1 5 жыл бұрын
1:34 You know this is fucked up when even the Unicode missing letter square is a parameter on your equations
@YdarklifeY
@YdarklifeY 5 жыл бұрын
From the view of someone that is also studying physics that was very well explained ^
@DJGenki
@DJGenki 5 жыл бұрын
Solid video :)
@TheDarktsun
@TheDarktsun 2 жыл бұрын
I'm wondering if we should interpret this as the Schrodinger Hamiltonian is invalid at high energies, or that the energy is observer-frame dependent...Watching your Klein Gordon derivation next, thanks for the great videos.
@RobertBabani
@RobertBabani 4 жыл бұрын
outstanding, thank you
@nicholaspullem4246
@nicholaspullem4246 5 жыл бұрын
Awesome Video, thanks for sharing :)
@quTANum
@quTANum 4 жыл бұрын
I think you can directly square the partial x differentiation operator? It'll be easier this way, since we don't need to apply the definiation of it again.
@estebanandresfloresgutierr1828
@estebanandresfloresgutierr1828 3 жыл бұрын
Muchas gracias!
@dXoverdteqprogress
@dXoverdteqprogress 4 жыл бұрын
There was a mistake in your proof. You assumed that the wavefunction is a scalar -- it is not. Let's take psy to be a Gaussian which, at it's peak, has the value p. In a primed frame the value at the peak cannot be the same as p because if you Lorentz contract a function that preserves probability, the peak will be larger. Taking this into account does not save the Schrodinger's equation from being non-relativistic, but people should be aware of this argument.
@danielplacido8746
@danielplacido8746 4 жыл бұрын
But the wave function is scalar. Complex, but scalar.
@dXoverdteqprogress
@dXoverdteqprogress 4 жыл бұрын
@@danielplacido8746 Nope. It changes under a Lorentz transformation.
@dXoverdteqprogress
@dXoverdteqprogress 4 жыл бұрын
@MetraMan09 For a constant velocity, gamma is a constant; it only varies with time when you have acceleration.
@colfrancis9725
@colfrancis9725 3 жыл бұрын
@@dXoverdteqprogress Wish I had seen this comment before I spent time writing my own.
@tapferetomate914
@tapferetomate914 4 жыл бұрын
If you say that the Schrödinger equation is i d/dt [e, t> = H [e, t> it totally works for a special relativistic hamiltonian. The familiar wave equation form of the Schrödinger equation is just it's representation in Position Basis with THE non-relativistic Hamiltonian: H=p^2/2m + V(x) In the case of a free relativistic Scalar particle: H =1/2m^2 * (pI * pI + m^2) where pI denotes the I-th element of Momentum, where I=2 or 3 This is so called lightcone quantization Add a potential V(x) and you're good to go. (you then obviously have a non-free Scalar particle)
@ikkebrikke
@ikkebrikke 5 жыл бұрын
Hi Andrew, I was wondering what your opinion is on double majoring in physics and mathematics. I'm in my last year from high school and i'm in doubt whether to just do physics or do a double major. Thanks in Advance! Love your vids
@tuskiomisham
@tuskiomisham 5 жыл бұрын
we learned about the 2d wave equation in my semiconductors class. it's a beautiful thing, but it can't explain a lot of stuff
@ActionPhysics
@ActionPhysics 3 жыл бұрын
On the same line of thought you will see that gallelian transformation doesn't keep SE invariant. But actually it does. While proving such invariance we can't simply take psi going to psi prime.
@ActionPhysics
@ActionPhysics 3 жыл бұрын
We have to keep a phase factor then this problem gets super duper complicated
@deeptochatterjee532
@deeptochatterjee532 5 жыл бұрын
If there was a lorentzian invariant hamiltonian would it work? Like for example H=cP for photons?
@victorhakim1250
@victorhakim1250 5 жыл бұрын
Hey Andrew. Here's my main confusion: it looks like the Schrodinger Equation isn't even invariant under Galilean transformations! In particular, looking at the final equation you wrote, taking the limits as v/c approaches zero and gamma approaches 1, there still remains the rightmost term of the right side of the equation. Any ideas on why this lingering term appears?
@victorhakim1250
@victorhakim1250 5 жыл бұрын
Ohhh I've figured it out. That "lingering" term actually needs to be there! (tldr: the Schrodinger equation is in fact invariant under Galilean transformations.) In taking the partial with respect to t', we're taking x' to be constant, not x. But in verifying the validity of the transformation, we have to start with the non-transformed Schrodinger equation, which originally uses psi(x,t) not psi(x',t'). In taking the partial of psi(x,t) with respect to t' (keeping x' constant, not x!), there is an extra term v(delPsi/delx) which is exactly what is cancelled out by the "lingering" term.
@alijoueizadeh8477
@alijoueizadeh8477 4 жыл бұрын
Thank you.
@johnjames4194
@johnjames4194 3 жыл бұрын
I love this channel 😂😂
@zokalyx
@zokalyx 5 жыл бұрын
Oh no... Your schedule will mess up with mine if you start doing these pbs-like competitions. You literally upload right after I go to sleep (I'm here now because it's saturday).
@AndrewDotsonvideos
@AndrewDotsonvideos 5 жыл бұрын
Hmmm, actually, quantum mechanics forbids this
@ThomasGutierrez
@ThomasGutierrez 3 жыл бұрын
Great content as always. However, \hat{H}\Psi=i\hbar\dot{\Psi} the "Schrödinger equation" does still work relativistically and is used in QFT (with the right Hamiltonian) to evolve the state vector in Hilbert space. The KG and Dirac equations aren't "wave equations" but rather best interpreted as "field equations."
@anuj7008
@anuj7008 5 жыл бұрын
This is gold.
@qizhengli5685
@qizhengli5685 4 жыл бұрын
Very interesting video! Although I think it will be simpler to derive it if considering the relation of ∂²/∂x²=(∂/∂x)² =(γ∂/∂x’-γv∂/c²∂t‘)²
@qizhengli5685
@qizhengli5685 4 жыл бұрын
which is to regard the partial derivatives as operators.
@davisjohn1517
@davisjohn1517 5 жыл бұрын
Awesome video Andrew. Also I'm going to be taking my first electricity and magnetism physics class in a couple weeks, do you guys have any recommendations on good online resources to look at to help me in E&M?
@corydiehl764
@corydiehl764 5 жыл бұрын
walter lewin, and griffiths book
@swish6143
@swish6143 4 жыл бұрын
Definitely the Griffiths book. Greets from Frankfurt
@LukeBurns
@LukeBurns 4 жыл бұрын
It's worth noting that not only is the Schrodinger restricted to the non-relativistic domain, but it is also restricted to the description of electrons in a spin eigenstate! The Pauli equation is a non-relativistic approximation of the Dirac equation that reduces to the Schrodinger equation when in an eigenstate of spin.
@jeshurunluke5573
@jeshurunluke5573 5 жыл бұрын
Looks like ur daily upload schedule is always on the dot(son)
@maxwellsequation4887
@maxwellsequation4887 3 жыл бұрын
Andrew Son cosθ
@camilosoares9132
@camilosoares9132 5 жыл бұрын
Do one on the black hole electron (simple math)...i stumbled across that by accident and would like a video and the hypothetical it can be. By the way i deduced it biologically (using physical limit and not mathematical limits). From what i understand that wasn't the first time black holes got over looked ;)
@aram9167
@aram9167 5 жыл бұрын
goddamn it you sound like an awesome teacher to have
@AndrewDotsonvideos
@AndrewDotsonvideos 5 жыл бұрын
tysm
@theultimatereductionist7592
@theultimatereductionist7592 4 жыл бұрын
Which equations should we use for large systems of molecules?
@ghanshamchandel1854
@ghanshamchandel1854 4 жыл бұрын
Newtons. If wayy to big, then Einsteins GR.
@thiagotsutsui452
@thiagotsutsui452 7 ай бұрын
Andrew, is there a way to do the same with Dirac's equation without using the relativistic notation?
@geoffrygifari4179
@geoffrygifari4179 5 жыл бұрын
hey andrew, new sub here... i think there was a slight missed opportunity, for if you did cancel the gammas and show in the video the limit of v/c -> 0, you might retain the usual schro's eq with x' and t', thus showing that schro's work in the nonrelativistic limit
@AndrewDotsonvideos
@AndrewDotsonvideos 5 жыл бұрын
Right but at first glance you don't recover the schrodinger equation because there's still the extra factor of d/dx'. You'd need to place more focus on the wave function itself to get everything to come out alright under Galilean transform.
@geoffrygifari4179
@geoffrygifari4179 5 жыл бұрын
you're right! my bad
@AndrewDotsonvideos
@AndrewDotsonvideos 5 жыл бұрын
Geoffry Gifari no what you said would totally work, it would just be a lot of effort😅
@ronho6671
@ronho6671 5 жыл бұрын
How about gauge transformation, locality and the principle of least(stationary) action?
@xxyummyxx5
@xxyummyxx5 5 жыл бұрын
Hi Andrew I'm about to start classical mechanics next quarter, any tips? Having anxiety and doubting myself a bit
@chymoney1
@chymoney1 5 жыл бұрын
Thomas Marquez you can watch the whole class online so use youtube
@alexbaykov9221
@alexbaykov9221 5 жыл бұрын
Schroedinger started with relativistic equation, the calculations following this approach were inconsistent with experimental results of that time, so he did a non-relativistic approximation, which is exactly the Schroedinger equation we know. When the experiments became more precise, the need for relativistic approach became obvious.
@AlchemistOfNirnroot
@AlchemistOfNirnroot 5 жыл бұрын
Is it even possible to solve PDE's with mixed second partial derivatives?
@fatematuzzohora5615
@fatematuzzohora5615 3 жыл бұрын
you are a very good teacher you know that?
@treborheminway1196
@treborheminway1196 5 жыл бұрын
Question:If entanglement is a defining aspect of QM,why would you expect relativistic terms in equations describing it. Isn't that essentially why folks like the whole " The universe is a hologram " idea? Doesn't entanglement mean there is no spacetime at the am level????
@sahilnaik3079
@sahilnaik3079 5 жыл бұрын
Thank you ! I actually did it.
@colfrancis9725
@colfrancis9725 3 жыл бұрын
Lovely, thanks. Can someone help me with one question? At the end of the video, Andrew replaces V(x) with V(x') and also Psi(x,t) with Psi(x' , t' ). Why did that happen? Given the Lorentz transformation relating x, x', t and t' we can show x = r (x' + vt' ) . Where r= gamma but I can't write greek symbols. Then, it would seem, V(x) is replaced by V( r(x' + vt') ) and not V(x' ). Similarly Psi (x, t) = Psi (r(x' + vt') , r(t' + (v/c^2)x' ) and not just Psi (x' , t' ). Is it essential that the wave function and potential function are (separately) invariant functions if we were only interested in checking that the Schrodinger wave equation as a whole is preserved under a Lorentz transformation?
@animeshsah5843
@animeshsah5843 4 жыл бұрын
Can I ask for a book to study tensors intuitively
@alapandas6398
@alapandas6398 4 жыл бұрын
I think the we should get psi'(x',t')=psi(x,t)(1-v²/c²)^(¼) to make the probability in the same region to be equal in both frames. Because probability should be invariant. And this psi' satisfies Schroedinger equation in psi does. By the way I got that equation you wrote but d²/dx'dt' terms vanished. I think I did some calculation mistake.
@cmaraza8
@cmaraza8 5 жыл бұрын
(NEW TO THE CHANNEL) I'm a bit perturbed that "D" looks like a 2 lol I'm just saying. That is all... Great video, please continue.
@listentome5583
@listentome5583 4 жыл бұрын
It’s even worse, at least for me (I’m not sure for others tbh), that his d looks like a partial derivative notation.... so if he wrote both the regular derivative and partial derivative notations, I will be one confused fuck
@simohayha6031
@simohayha6031 5 жыл бұрын
Do gluons move at speed at light since they're massless. So gluons are still a "mystery" in QM?
@hbarudi
@hbarudi 4 жыл бұрын
Completed this entire major in physics, but still not much info is taught about equations being general relativity or special relativity besides the obvious such as Maxwell's equations and the E=mc2 equations. But I think Schrodinger's equation describes only the wave and simply gives a probability for where the particles is but does not tell the speed of the particle, just its energy and mass are involved. There is particle wave duality and Schrodinger equation focuses on the wave part.
@Dan-nh8nu
@Dan-nh8nu 5 жыл бұрын
Didn't have a scooby about what you were saying but watched it anyway :-)
@taseen707
@taseen707 4 жыл бұрын
Thanks dude
@ahmedsaadsabit1749
@ahmedsaadsabit1749 3 жыл бұрын
He is Andrew Dotson not dude. Respect for him!
@OBGynKenobi
@OBGynKenobi 5 жыл бұрын
Which brings up a question. Where is the line between relativistic and non relativistic. For example up to what limit does Schrodinger equation work? ie, what is the fastest speed an electron can go and Schrodinger still works?
@AndrewDotsonvideos
@AndrewDotsonvideos 5 жыл бұрын
Go Mezant The answer is always “it depends on the error you’re willing to accept”
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