Hermite differential equation

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  • เผยแพร่เมื่อ 18 ธ.ค. 2024
  • Series solution of the Hermite differential equation. Shows how to construct the Hermite polynomials.
    Join me on Coursera: imp.i384100.ne...

ความคิดเห็น • 25

  • @ErwinSchrodinger64
    @ErwinSchrodinger64 6 ปีที่แล้ว +14

    I graduated with my Ph.D in chemical physics, back in 2014. I've taught quantum mechanics several times since. When presenting Hamiltonian dynamics, specifically, its operator definition, when solving the oscillator operator to the Schrodinger equation, many students of mine have found your TH-cam page as a great reference. Thank you, sir.

  • @reviccho8899
    @reviccho8899 5 ปีที่แล้ว +3

    Someone already commented, but to clarify, at 3:31 Σ n = 1 to infinity 2n(a of n)x^n is equal to Σ n = 0 to infinity 2n(a of n)x^, for when n=0, 2n(a of n)x^n equals 0.

    • @mayorks
      @mayorks 3 ปีที่แล้ว

      Thank you!

    • @flyingbirds6794
      @flyingbirds6794 ปีที่แล้ว

      Oh, thank you very much😁 It is not very easy to figure out

  • @robertsolomon3328
    @robertsolomon3328 7 ปีที่แล้ว +1

    finally I understood how to solve the hermite differential equation with your demonstration here. Thank you very much for this!!

  • @holyshit922
    @holyshit922 ปีที่แล้ว

    I solved Hermite equation starting from recurrence relation
    I had a little problems with expansion of exponential generating function but finally i got correct answer

  • @maryamtoqeer2399
    @maryamtoqeer2399 6 ปีที่แล้ว +2

    03:46 how we combin smition of 1 and 0...??

    • @najihahleyla7195
      @najihahleyla7195 5 ปีที่แล้ว

      Yesss.!!! Thank you

    • @vessalius6388
      @vessalius6388 5 ปีที่แล้ว +2

      because that summation has no value at n = 0

  • @Deep_science_sorts
    @Deep_science_sorts 11 ปีที่แล้ว +4

    hello., sir i cant understand that in 1;53 how could u put y first derivative as x^n only.. i think there should be x^n-1....any way thanks for your great help;.

    • @Hulks92
      @Hulks92 10 ปีที่แล้ว +4

      Since that term has an x in the x*x^(n-1) becomes x^n

    • @HB-cw7tw
      @HB-cw7tw 5 ปีที่แล้ว

      Because the first derivative of y,x has power of n-1 ..then x.x^n-1 = x^n

  • @王昶文-n2q
    @王昶文-n2q 8 ปีที่แล้ว

    This video helps me a lot! Thank you.

  • @InfiniteParadigm
    @InfiniteParadigm 8 ปีที่แล้ว

    I know that this video was posted along time ago but, just a quick comment, how can you pull out a common factor of a sumation with out balancing all indices you don't you need to have constants added to the series

  • @bozo8102
    @bozo8102 4 ปีที่แล้ว

    Nice demonstration, sir. Thanks a lot!

  • @GamerwithaConscience
    @GamerwithaConscience 9 ปีที่แล้ว

    why the index for the summation operator change during the differentiation of the variable y?

  • @gwendolynlee1755
    @gwendolynlee1755 6 ปีที่แล้ว

    thank you so much for this!! it was so helpful!

  • @MahaEzzat-ps1cs
    @MahaEzzat-ps1cs 7 ปีที่แล้ว

    Thank youuuuu sir that was beneficial

  • @4hostelboys
    @4hostelboys 3 ปีที่แล้ว +1

    I'm from Pakistan I'm doing BS Mathematics Advance Mathematics material are not in net Specially in TH-cam but There are many videos about Fsc math or 10th class Math why?

  • @4hostelboys
    @4hostelboys 3 ปีที่แล้ว

    It is different in our syllabus why

  • @anuvabsaha5317
    @anuvabsaha5317 7 ปีที่แล้ว

    Such a smooth and fluidic explanation. Great! Finally caught up with Hermite polynomials!
    But it would feel more complete if the odd series was demonstrated!
    Anyway! Thank you Sir!

  • @nutellaneamaa6669
    @nutellaneamaa6669 8 ปีที่แล้ว

    ممكن الشرح باللغه العربيه

  • @nutellaneamaa6669
    @nutellaneamaa6669 8 ปีที่แล้ว

    please ...speak.Arabic 😊