Question: Consider a spin-1 particle A interacting with a spin-1/2 particle B via the Hamilto- nian - J A SB- (i) Find the eigenvalues of

Consider a spin-1 particle A interacting with a spin-1/2 particle B via

Consider a spin-1 particle A interacting with a spin-1/2 particle B via the Hamilto- nian - J A SB- (i) Find the eigenvalues of (ii) Define the projection operator onto the spin-1/2 and spin-3/2 subspaces as P1/2 = (1/281-1/2) P3/2 = (1/2013/2) Show that == P1/2 = -(SA SB-1/2) 3 P3/2 = (SA SB+1) . (1/201 1/2) (1/201 3/2)

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