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  3. the following kets name vectors in the euclidean p

The following kets name vectors in the Euclidean plane: |a>, |b>, |c>. Some inner products: <a|a> =...

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Advance Math

The following kets name vectors in the Euclidean plane:

|a>, |b>, |c>.

Some inner products: = 1, = −1, = 0, = 1, = 1

(a) Which of the kets are normalized?

(b) Which of these are an orthonormal basis?

(c) Write the other ket as a superposition of the two basiskets. What is the norm |h·|·i| of this ket (i.e., the length of thevector)? What is the angle between this ket and the two basiskets?

(d) In the same basis, write as a superposition a ket that hasthe same direction but is normalized.

Answer & Explanation Solved by verified expert
3.7 Ratings (646 Votes)
that means is normalized imply and are mutually orthogonal imply is normalized Let    See Answer
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