Chapter 2: Rotation of basis states and matrix mechanics

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  • Опубліковано 4 гру 2024

КОМЕНТАРІ • 10

  • @mariannascott2008
    @mariannascott2008 4 роки тому +5

    This video was SO clear and helpful. Thank you!

  • @matthewzarate8851
    @matthewzarate8851 Рік тому +1

    YOU ARE AMAZING!

  • @solup7991
    @solup7991 Рік тому +1

    hey there, great video. I am a physics student and am currently learning quantum mechanics. At 31:51 you said let's show that the eigenvalues are in fact hbar/2 and proceeded to show it through taylor series. You also said that since we got some phase in front of |+z> that it our assumption of hbar/2 eigenvalues must be correct but we would have gotten a phase in front of the + z ket for any integer multiple of hbar. Why would hbar/2 be the correct value then?

    • @vincentmeunier7873
      @vincentmeunier7873  Рік тому +1

      Ah good question that many students ask! The phase factor does NOT affect the eigenvalue at all! To convince yourself, write a simple eigenvalue problem and see the effect of an overall phase on BOTH the left and the right of the equation. Does that make sense?

  • @chimetimepaprika
    @chimetimepaprika 2 роки тому +1

    14:29 thanks

  • @philipceric4388
    @philipceric4388 2 роки тому +1

    Sorry, but at 24:07, where did the O(d*phi^2) come from?

    • @vincentmeunier7873
      @vincentmeunier7873  2 роки тому +1

      This shows that we drop all the terms of order d\phi^2 and higher power. This is typical: you can think about d\phi being "as small as it gets without being zero", than its square can be neglected.

    • @philipceric4388
      @philipceric4388 2 роки тому

      @@vincentmeunier7873 I see. Thanks

  • @charliewu4110
    @charliewu4110 3 роки тому

    At around 1:08:00 I believe that the S matrix is written incorrectly