Question
Problem 1
|(a) Consider two kets |a) and |3). Suppose (a'|a), (a"|a), .. . and (a'|B), (a"|B), ...
where a'), a"|),... form a
Ja)(B| in that basis
|(b) Now consider a spin 1/2 system and let |a) and |B) be |8
|Write down explicitly the square matrix that corresponds to |a)(B| in the usual |±) 8z basis.
are all known,
complete set of basis kets. Find the matrix representation of operator
h/2) and |sa
h/2), respectively.

Image Transcription

Problem 1 |(a) Consider two kets |a) and |3). Suppose (a'|a), (a"|a), .. . and (a'|B), (a"|B), ... where a'), a"|),... form a Ja)(B| in that basis |(b) Now consider a spin 1/2 system and let |a) and |B) be |8 |Write down explicitly the square matrix that corresponds to |a)(B| in the usual |±) 8z basis. are all known, complete set of basis kets. Find the matrix representation of operator h/2) and |sa h/2), respectively.

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