Lecture 6: Time Evolution and the Schrödinger Equation

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Published 2014-06-18
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 begins with summarizing the postulates of quantum mechanics that have been introduced so far. He then discusses properties of the Schrodinger equation and methods of solving the equation.

License: Creative Commons BY-NC-SA
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All Comments (21)
  • @neelmodi5791
    His enthusiasm makes me want to learn so much more
  • @ahuhu
    I'm just jealous of these guys' ability to ask interesting questions that seem so logically connected to the subject but i could never come up with.
  • love the way professor Adams explains things, i'm starting to get my master degree in physics and yet by watching these lectures i feel the need to study more,it's like MIT courses makes you realize you need to learn more and more and more... and it's never enough!!!thank you MIT opencourseWare for giving me the opportunity to experience quality courses with these great guys. love you
  • @Yashmnash
    Take a shot every time he picks up his bottle and doesn't end up drinking from it haha. Amazing prof.
  • what i like about his method is that he clarifies all the subtle points so that you don't have anything unclear in your head
  • @LeconsdAnalyse
    The teacher in the clip is very nice - patient, and down to earth.
  • @Grymtydeify
    Anyone else transfixed on what he is drinking and how he transports it around the room without ever taking a sip?
  • @valen8560
    "mathematicians are sneaky. that's why we keep them down the hall." XD
  • @craigfowler7098
    Wish he was my lecturer when I studied this. Makes it so interesting, relevant and clear. Good job man
  • @EvaTruve
    Nice, I can listen to this and not get an headache! Main principles respected, thank god!
  • These really are great lectures. I'm using them to supplement my coursework and they're really helpful in giving meaning to the equations and solutions i derive in my homework. For instance, I have a midterm tomorrow and i feel pretty good with my ability to handle the math and solve problems; but if asked what my solutions imply i would be hard pressed to answer without the intuition i gain from these vids. This lecture series really helps build my understanding of the material. Thanks MIT OpenCourseWare!
  • @nathanokun8801
    This instructor is worth his weight in platinum!! He is FANTASTIC concerning this somewhat obtuse subject. I am impressed beyond words.
  • @yusongbai17
    OMG...completely impressive!! -- "any function can be expanded as a superposition of eigenfunctions of any operator of your choice", "the special cases -- the Fourier theorem; the general cases -- the superposition postulate."
  • @alannolan3514
    Wonderful lecture - manages to work at both the intuitive level and the algebraic level. Thank you!
  • @ppmealing
    Really good explanation - excellent lecturer (Allan Adams); he actually invites questions, repeats them and then gives cogent answers. It's the first time I've seen someone explain the relationship between eigenstates and Schrodinger's equation. Also how superposition falls out and is effectively a consequence of 'stationary states', therefore unaffected by time. This creates a physical distinction between the quantum world and the classical world, as he explicitly demonstrates; the interface being the 'collapse' of the wave function or 'decoherence' as he calls it, when superposition disappears. Since the wave function is 'all you need' and SE is 'not derived, just posited' makes me think it's a good candidate for the 'God' equation, meaning it fundamentally describes everything that's yet to come into being.
  • As a holder of a computer science degree and another in electronics I bow to the recognition of reality. Circuits and code only do what they are made to do as does your world. So cool. Thanks for the pump.
  • @TJ-hs1qm
    binging QM lectures, so much better than Netflix