2.Consider two states |w1) = 2i|ø1)+l$2)-al¢3)+4|ø4) and |lw2) = 3|ø1)-il¢2)+5]¢3)-lø4), where |ø1), Iø2), lø3), and [ø4) are orthonormal kets, and where a is a constant. Find the value of a so that w1) and |w2) are orthogonal. %3D

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2.Consider two states |w1) = 2i|01)+lø2)-al3)+4|¢4) and |w2) = 3|61)-i|2)+5|¢3)-164),
where |ø1), Iø2), lø3), and [ø4) are orthonormal kets, and where a is a constant. Find the value
of a so that |w1) and |w2) are orthogonal.
Transcribed Image Text:2.Consider two states |w1) = 2i|01)+lø2)-al3)+4|¢4) and |w2) = 3|61)-i|2)+5|¢3)-164), where |ø1), Iø2), lø3), and [ø4) are orthonormal kets, and where a is a constant. Find the value of a so that |w1) and |w2) are orthogonal.
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