SCHRÖDINGER'S EQUATION (Derivation) - Plausibility Argument & Time-Independent SE Derivation

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  • Опубліковано 27 лис 2024

КОМЕНТАРІ • 88

  • @FortheLoveofPhysics
    @FortheLoveofPhysics  11 місяців тому +12

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    • @p.m.rangarajan1055
      @p.m.rangarajan1055 11 місяців тому

      Sir, however clearer the lecture is, QM is still a fuzzy subject. Your dedication in clearing the smallest piece of information on QM is really praiseworthy. I was captivated by your presentation. Thanks for your effort.

  • @r.murphy2311
    @r.murphy2311 11 місяців тому +20

    Another spectacular lecture! You are able to achieve in 55 mins what most instructors cannot in an entire semester.

  • @jash5586
    @jash5586 5 місяців тому +2

    Probably my first and only comment on any video. This video shows one of the most complex and difficult equation in such a manner that no other teacher has been able to show me till now. Really great video sir Thank you so much

  • @zahidwali9319
    @zahidwali9319 11 місяців тому +6

    Your lectures are a captivating journey through the landscape of knowledge. Your passion illuminates each topic, making even the most complex subjects feel approachable. Thank you for making learning such a delightful experience!
    ❤❤

  • @Gazrul-j6g
    @Gazrul-j6g 12 днів тому

    I really love the way you taught. I am very much interested in quantum mechanics but my engineering physics professor never taught me in the way you taught, so I started to hate quantum mechanics and now I regret not discovering your channel early on.. BTW thanks because tomorrow is my exam and you made me understand the schrodinger's equation instead of byhearting it. Tomorrow I can just get into the exam hall and can build the equation from scratch all by myself. Thank you

  • @Tom-sp3gy
    @Tom-sp3gy 11 місяців тому +8

    Brilliant ! Great lecture ! What a way to begin the New Year! Love you so much sir… you are India’s Richard Feynman !

  • @KibalatsiEmmanuel-ty1bq
    @KibalatsiEmmanuel-ty1bq 10 місяців тому

    Thanks for the lecture. i need not even attend the class lectures now am with you to the end....🙏🙏🙏

  • @delta1996
    @delta1996 9 місяців тому +2

    OMG, you`re a genius!!, love your lectures.

  • @kentykatele4353
    @kentykatele4353 11 місяців тому

    Thank you for the content. I have been studying physics recently as if am at the University. 😅
    Please keep it up and make sure we cover all that which is supposed to be covered in quantum without skipping anything

  • @jacobvandijk6525
    @jacobvandijk6525 11 місяців тому

    Well, a good start to the new year. Your QM-viewers really had to be patient.

  • @anishghatak2270
    @anishghatak2270 11 місяців тому

    Thanks Sir For Give Us This Type Of Concept... Quantum Mechanics...Books Are Good But when You teaching this type of Lecture ....We Are able To Understand the actual Meaning Of This lines ..Thanks Sir ... For this Kind of lecture ...we Need More ..about Degeneracy,Parity and Liniar Harmonic ossilator Sol ...A lot of things We have To learn From You....Thaku Sir

  • @nganingkhuihas
    @nganingkhuihas 7 місяців тому

    The Best And Best explanation ever❤

  • @KodandaRamGanta
    @KodandaRamGanta 7 місяців тому

    Best lecture in my life ❤

  • @harshtiwari7395
    @harshtiwari7395 9 місяців тому

    Another mind blowing derivation sir ..... I love the way you teach the way you explain things your videos are helping me soo much thankyou soo much sir.....
    .
    Can you please tell sir that we'll also do .
    1. ATOMIC SPECTROSCOPY
    2. MOLECULAR SPECTROSCOPY

  • @DeltaH-9
    @DeltaH-9 11 місяців тому +1

    I love your content, sir. Happy New Year!

  • @pete4416
    @pete4416 8 місяців тому

    Thanks so much, you're saving my semester:)

  • @sarthakgirdhar2833
    @sarthakgirdhar2833 10 місяців тому

    Hello sir. Your student Sarthak here.
    Even though the plausibility argument does make sense, given that plane waves form a basis for all square integrable functions, I think one important point to emphasize here is the induction of time translation by the Hamiltonian.
    In classical mechanics, the Hamiltonian translates the system in time using Poisson brackets. For Schroedinger, time translation using the Hamiltonian was one of the key factors in writing down his equation. Given the fact that we need the time evolution operator to be unitary, since the Hamiltonian is hermitian, the imaginary number i has to automatically enter the formalism.
    As you most likely know already, things don't stop here. In further frameworks such as quantum field theory, this is one of the key starting points for writing down the equations of motion, such as the Klein-Gordon or the Dirac equations.

    • @FortheLoveofPhysics
      @FortheLoveofPhysics  10 місяців тому +1

      Hi Sarthak, nice to hear from you. Hope you are doing well. Good point. I chose the plausibility argument as it's the simplest argument to point to The Equation (although Schrodinger himself chose a different path). Given the sequence in which I am introducing these ideas, i have to be careful that I keep the lectures simple. It's one of the demerits about being a teacher - I need to hold the student's hand and lead them step by step.

    • @sarthakgirdhar2833
      @sarthakgirdhar2833 10 місяців тому

      @@FortheLoveofPhysics Hello sir. Yes I am fine. Yes I agree!

    • @lepidoptera9337
      @lepidoptera9337 6 місяців тому

      You don't need a plausibility argument. We can derive quantum mechanics directly from Kolmogorov's axioms and relativity. The Schroedinger equation then pops out as a non-relativistic limit of Dirac or gauge field theories. Schroedinger didn't know any of this. He simply guessed correctly. In today's world, however, a teacher who makes handwaving arguments like this simply shows that he hasn't read the modern primary literature.

    • @sarthakgirdhar2833
      @sarthakgirdhar2833 6 місяців тому +1

      @@lepidoptera9337 For teaching undergraduates entering their sophomore year, talking about gauge field theories is not likely to play well. By this logic you should start with Peskin and Schroeder's QFT right from the start and derive everything in nonrelativistic quantum mechanics by taking the appropriate limits. Why not even derive classical mechanics by setting hbar=0 everywhere? Surely that is going to help you study rolling cylinders on inclined planes.

    • @lepidoptera9337
      @lepidoptera9337 6 місяців тому

      @@sarthakgirdhar2833 We don't need gauge field theory to explain the basics of quantum mechanics correctly but the problem is that non-relativistic QM is "miraculous" in a number of ways. The tensor-product structure, for instance, is a direct result of relativity. It does not drop out of a non-relativistic derivation. Neither do important details like fully symmetric bosonic and fully anti-symmetric fermionic wave functions. These require (dimension dependent!) representations of the Poincare group. So in effect we can't even derive enough quantum mechanics with handwaving to get to the periodic table of elements. The buck basically stops at hydrogen. To teach QM to undergrads all the way to Schroedinger and no further produces only one thing: another generation of physicists who do not understand 20th century physics at all. These physicists will then teach another generation of students who will also not understand physics. It's a vicious cycle that we have been playing since the 1930s. Enough already.

  • @hananabilatanjung1237
    @hananabilatanjung1237 17 днів тому

    thank you, Sir! What a great lecture!

  • @ShivamTiwary-k4q
    @ShivamTiwary-k4q 2 місяці тому

    i am shivam from iit dh. sir its very useful to me and my friends thankss sir

  • @anirbande2234
    @anirbande2234 10 місяців тому

    Sir, Thank you for your constant effort. Could you please make problem solving videos or suggest or attatch problem list with the answer key on the corresponding topics? It is a big request to you. Your video lectures are outstanding but with some problems, I think it will be more helpful to the students like me.

  • @mohsinshah6857
    @mohsinshah6857 11 місяців тому +1

    Excellent topic...

  • @AbdallaDaaMadowe-kn4jq
    @AbdallaDaaMadowe-kn4jq 11 місяців тому

    Good day That I have waiting a long time
    Good teacher 🎉❤

  • @niharagrawal7613
    @niharagrawal7613 3 місяці тому

    very well explained super interesting way

  • @someshmukherjee6429
    @someshmukherjee6429 Місяць тому

    Very nice explanation sir😊

  • @usmanphysics6192
    @usmanphysics6192 11 місяців тому

    Great lecture. Excellent 👌👌👌

  • @fredericopires7659
    @fredericopires7659 6 місяців тому

    Very good. Thank you soo much!!

  • @pipinstallpycaret4056
    @pipinstallpycaret4056 7 місяців тому

    Thank you very much sir it helps me a lot.

  • @Motivationeditz-success
    @Motivationeditz-success Місяць тому

    thanks for such explaination

  • @kevconn441
    @kevconn441 11 місяців тому

    Hi Proff, Happy New Year and thanks for all your fantastic vids. Looking forward to learning loads more in 2024 on your channel.
    Can I ask about a small point someone mentioned to me not so long ago regarding the wave equation.
    The WE has a second derivative on both sides. Whereas the SE has a 1st derivative on the left and a 2nd on the right.
    It is, in fact, similar to the Heat Equation. Which makes a bit of sense considering the HE is about dispersion over time and that is what solutions of the SE looks like.

  • @cesars.semp.3119
    @cesars.semp.3119 7 місяців тому

    In words, without formulae: put yourself in the system of reference where the electron is at rest AFTER the absorption. The energy is only the rest energy. Now, from this system, BEFORE the absorption there is a photon, with positive energy, and surely some kinetical energy of the electron, also positive (or zero, but no negative).. Energy is not conserved. As you see, with no formulae, only words, and knowing that those energies are positive. Choose your system of reference well and you will save a lot of calculations.

    • @lepidoptera9337
      @lepidoptera9337 6 місяців тому

      The Schroedinger equations says absolutely nothing about either electrons or photons. If you want to get to that level you have to quantize electromagnetism and construct a gauge field theory.

    • @cesars.semp.3119
      @cesars.semp.3119 6 місяців тому +1

      @@lepidoptera9337 misplaced video. Sorry.

    • @lepidoptera9337
      @lepidoptera9337 6 місяців тому

      @@cesars.semp.3119 OK, that makes sense. ;-)

  • @swapnilbanerjee1796
    @swapnilbanerjee1796 9 місяців тому

    Great but plz upload applications of Schrodinger eqn like partuclein a 1D box

  • @SudhanshuSharmanitdelhi
    @SudhanshuSharmanitdelhi 10 місяців тому +1

    sir please provide notes of this lecture very important

  • @sakilhabibsardar4476
    @sakilhabibsardar4476 4 місяці тому

    Sir You are awesome

  • @antoniocarlosgirodo4506
    @antoniocarlosgirodo4506 9 місяців тому

    xcelent class!

  • @payalm2538
    @payalm2538 8 місяців тому +1

    sir plz make a video on perturbation theory

  • @anasfarid2492
    @anasfarid2492 4 місяці тому

    Thank you very very much sir

  • @mohitz_111
    @mohitz_111 10 місяців тому

    Loved it

  • @mazharali5348
    @mazharali5348 11 місяців тому

    Happy new year sir

  • @hakanegne
    @hakanegne 4 місяці тому

    how can Schrodinger equation be applied for protons?

  • @domgesh392
    @domgesh392 11 місяців тому +2

    sir please videos ki frequency inc. kardo

  • @Trivinkr
    @Trivinkr 11 місяців тому +1

    Sir , when are you going to launch the batch for IIT-JAM/ CUET-PG 2025

  • @rishukumar7158-h1w
    @rishukumar7158-h1w Місяць тому

    26:12 conditions .

  • @GUNALANM-k5n
    @GUNALANM-k5n 11 місяців тому

    Great thanks

  • @hozeluii1566
    @hozeluii1566 9 місяців тому

    Excelent!!

  • @BiswajitDas-fj5gp
    @BiswajitDas-fj5gp 11 місяців тому

    Thanks🙏

  • @farhanmajeed862
    @farhanmajeed862 9 місяців тому

    Salam sir..... Plz is topic sy on word notes to update krden plz.... We are waiting anxiously.... Love from Pakistan

  • @umarhashmi6759
    @umarhashmi6759 11 місяців тому +2

    Hello Sir......
    Kkesy hain app ????
    I'm from Pakistan and watch your vudeos daily....
    Sir kindly Statistical mechanics py aik lecture series kindly
    Allah Bless you with a healthy and comfortable life.

  • @rglennon6872
    @rglennon6872 9 місяців тому

    Isn’t the SE parabolic?

  • @englishforfunandcompetitio248
    @englishforfunandcompetitio248 11 місяців тому +3

    Dinger.... Like Finger....not like danger.....so Schroedinger's Equation.

  • @rishukumar7158-h1w
    @rishukumar7158-h1w Місяць тому

    49:15

  • @rishukumar7158-h1w
    @rishukumar7158-h1w Місяць тому

    52:28

  • @زينالعابدينماجدمحمد
    @زينالعابدينماجدمحمد 11 місяців тому +1

    ❤❤❤❤

  • @rishisingh3923
    @rishisingh3923 9 місяців тому

    30:39 where is the - sign gone?

  • @11ankushsangwan76
    @11ankushsangwan76 10 місяців тому

    Kha P hongi online classes

  • @hectorrajclaudius2562
    @hectorrajclaudius2562 11 місяців тому +6

    If physicists are able to capture the movements of the electron in an attosecond then it should pose a threat to the uncertainity principle to some extend. Should the fundamental premise of the uncertainity principle be modified in a quantifiable way?. Please post an educative video on the significance of the 2023 Nobel Prize winning work in Physics and its impact on the physicist's understanding of the fundamental tenet of quantum mechanics.

    • @FortheLoveofPhysics
      @FortheLoveofPhysics  11 місяців тому +8

      It does not pose a threat to the Uncertainty Principle, as even in Attosecond timescales, we can only get an idea about the change in the probability distribution of the electron-wave, and never pin point the exact "particle" nature of the electron. Nobel Laureate Anne L'Huillier herself mentioned during press release, that their work doesnot impact the HUP. I made a video on Attosecond Physics on my second channel ua-cam.com/video/4OxDs9vjdcA/v-deo.html

    • @hectorrajclaudius2562
      @hectorrajclaudius2562 11 місяців тому

      @@FortheLoveofPhysics Thank You, Sir.

    • @gok_dogan
      @gok_dogan 11 місяців тому +2

      To understand HUP
      I recommend you to understand deeply how fourier transform come to life .
      If you succeed to understand what's the intuitive behind the fourier transform. Then you come across the wave behavior of the particle and try to define its mathematical formula wave-particle model . 💡 Then you find yourself in the middle of the Fourier transform reality. Once you come here 😊 you have to choose red or blue pill.
      If you choose a specific k( which is wavenumber) means a you can't define exactly the momentum of the particle. It's weird like the particle itself.

    • @lepidoptera9337
      @lepidoptera9337 6 місяців тому

      Electrons don't move. They are quanta of energy of a quantum field.

    • @zemm9003
      @zemm9003 5 місяців тому

      The problem of the uncertainty principle is that it is formulated in a non-invariant way. So it is wrong, but the formulation that is commonly used, not the idea itself. The uncertainty principle tells us that some pairs of quantities are not properly defined, only the product of both (in some sense) matters, it is a physical limitation and not an experimental one.

  • @Cerussite-ub3kw
    @Cerussite-ub3kw 18 днів тому

    The ending lol

  • @_SAYF_
    @_SAYF_ 5 днів тому

    Im beyond cooked😢

  • @rahulkumar-zm6rz
    @rahulkumar-zm6rz 6 місяців тому

    ❤❤❤👌👌👌👌👌👌

  • @lowersaxon
    @lowersaxon 10 місяців тому +9

    „Schrödinger‘s (resp. Schroedinger’s*) equation“ or „the Schrödinger equation.“ But never „the Schrödinger’s equation“. You cannot put a „the“ here. His name is n o t Schrödinger‘s , that would be written Schrödingers. His name is Schrödinger.
    So it would be „Das’ equation“ or „the Das equation“ but not „the Das’ equation“. Thats incorrect. Just said, sorry.
    * For those who dont have ö on their keyboard, doesnt exist in English, but is common in German and e.g. Turkish, Schroedinger was Austrian and in Austria the official language is German.

  • @Arhankhan0786k
    @Arhankhan0786k 10 місяців тому

    ❤❤