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Question: I am unable to work with ket and bra to do a simple calculation

Question:I am unable to work with ket and bra to do a simple calculation

lemelinm 1535 Maple
May 27 2025
0

restart;

with(Physics);
with(Vectors);

Given

Ket(i) = alpha*Ket(u) + beta*Ket(d);
Ket(o) = gamma*Ket(u) + delta*Ket(d);
and using

<o|u><u|o> =1/(2)
<o|d><d|o> =1/(2)

 <i|d><d|i> =1/(2);
 <i|u><i|o> =1/(2);

Prove that
                     "alpha^*alpha = 1/2"

and the same for the rest of the unknowns

If you could help me start using them because later I will have a lot to check.

Thank you in advance for your help.

Mario
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