- #1
baouba
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Say I apply a raising operator to the spin state |2,-1>, then by using the the equation
S+|s,ms> = ћ*sqrt(s(s+1) - ms(ms+1))|s,ms+1>
I get,
S+|2,-1> = sqrt(6)ћ|2,0>
Does this correspond to a physical eigenvalue or should I disregard it and only take states with integer multiples of ћ as eigenvalues? It makes sense that non-integer multiples of ћ wouldn't correspond to physical eigenvalues, but then again, ladder operators don't really correspond to observable quantities so should it even matter?
S+|s,ms> = ћ*sqrt(s(s+1) - ms(ms+1))|s,ms+1>
I get,
S+|2,-1> = sqrt(6)ћ|2,0>
Does this correspond to a physical eigenvalue or should I disregard it and only take states with integer multiples of ћ as eigenvalues? It makes sense that non-integer multiples of ћ wouldn't correspond to physical eigenvalues, but then again, ladder operators don't really correspond to observable quantities so should it even matter?