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Hamiltonian Problem (Quantum Mechanics)

  1. Jan 6, 2015 #1
    Hi everyone


    I have been give a matrix operator and asked to find the eigen values, I have done so and then I was given a state |ψ> of some particle.

    The part I'm struggling with is it then asks for <H>, the expectation value of the matrix operator. It's a 3x3 matrix also.

    I've tried using the generalised formula for expectation value but I've only ever used it for simple probability densities

    I've looked all over the internet to find an example even a little close and had no joy whatsoever :(

    Any ideas or guidance would be much appreciated :)


    Regards
     
  2. jcsd
  3. Jan 6, 2015 #2

    ShayanJ

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    Gold Member

    Hi
    You should give us enough information and also show some attempt.
     
  4. Jan 6, 2015 #3
    ImageUploadedByPhysics Forums1420575853.597092.jpg


    Above is the only thing I'm unsure about! Does the hermitian conjugate of the include the constant or not? Other than that I think I've solved the problem?



    Thanks
     
  5. Jan 6, 2015 #4

    ShayanJ

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    Gold Member

    Yeah, that's right!
     
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