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castlemaster
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Homework Statement
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?
Homework Equations
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