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Observable [tex]G_{z}= -(xL_x+yL_y)[/tex]

  1. Apr 15, 2010 #1
    1. The problem statement, all variables and given/known data

    Consider the space of the states of a particle with no spin under an isotropic harmonic oscillator potential and the observable [tex]G_{z}= -(xL_x+yL_y)[/tex]
    Obtain the spectrum of Gz. Will be ever he particle in a normalisable state where Gz is defined?

    Can you interpret phisically Gz?

    2. Relevant equations


    3. The attempt at a solution

    I think [tex]G_{z}= zL_z[/tex]

    but how do I calculate the possible values of the observable.I tried with anhilitation and creation operators, but what represents Gz?

    Thanks
     
  2. jcsd
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