3. Suppose A and B are two observables with orthonormal eigenkets la,) and (b). A unitary operator transforms from one b

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3 Suppose A And B Are Two Observables With Orthonormal Eigenkets La And B A Unitary Operator Transforms From One B 1 (19.14 KiB) Viewed 11 times

3. Suppose A and B are two observables with orthonormal eigenkets la,) and (b). A unitary operator transforms from one basis to another lb) = Dja). By construction it will be 0=ElbXal, with matrix elements (a, 10/a)-(a,b) Find the operator (matrix) D that transforms the S, basis states of a spin 1/2 system to S, basis states (a) Begin with the S, operator (matrix) in 5, basis, use the unitary operator that you have constructed to express S, in its own basis. (b) Show that if two Hermitian operators A, B are diagonalized by the same unitary transformation then they commute