Extra problem: The
basis of the l = 1 Hilbert space in the
(L2, Lz) representation are
Y11(θ,...
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Physics
Extra problem: Thebasis of the l = 1 Hilbert space in the(L2, Lz) representation areY11(θ,φ),Y10(θ,φ),Y1-1(θ,φ).
(1) Find the matrixexpressions of Lx, Ly andLz. Hint: make use of L+and L-.
(2) Suppose the systemis in a normalized state Ψ =c1Y11+c2Y10. Find the possiblevalues and corresponding possibilities when measuringLz, L2, andLx, respectively.
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