The spin operator in an arbitrary direction can be written as (0,0) = sin cos o + y sin sin + ₂ cos 0, I where the Pauli spin matrices are given by 0 (13). 10 1. Find the eigenvectors and eigenvalues for the operator ô(0, 0). ÔT x 0 av = (15'). Oy i 0 = ôz = 0 0 -1
The spin operator in an arbitrary direction can be written as (0,0) = sin cos o + y sin sin + ₂ cos 0, I where the Pauli spin matrices are given by 0 (13). 10 1. Find the eigenvectors and eigenvalues for the operator ô(0, 0). ÔT x 0 av = (15'). Oy i 0 = ôz = 0 0 -1
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![The spin operator in an arbitrary direction can be written as
(0,0) = sin cos o + y sin sin + ₂ cos 0,
I
where the Pauli spin matrices are given by
0
(13),
1. Find the eigenvectors and eigenvalues for the operator ô(0, 6).
ÔT
x
=
Oy
=
0
(² i).
i
0
Oz
=
0
0 -1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4c1c0505-6119-4e49-9c75-0d7ccb62ac30%2F3fa8f976-f10b-4687-b922-76cb46ee42fa%2Fcguo98f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The spin operator in an arbitrary direction can be written as
(0,0) = sin cos o + y sin sin + ₂ cos 0,
I
where the Pauli spin matrices are given by
0
(13),
1. Find the eigenvectors and eigenvalues for the operator ô(0, 6).
ÔT
x
=
Oy
=
0
(² i).
i
0
Oz
=
0
0 -1
![2. Choose = 0 and find for an entangled state of the form
0
0
|I)
>- (B),B),-),B))
1/12
=
2
1
0
1
0
the probability of detecting particle 1 in spin-up with respect to an angle 0₁ and
at the same time particle 2 in spin-up with respect to an angle 02.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4c1c0505-6119-4e49-9c75-0d7ccb62ac30%2F3fa8f976-f10b-4687-b922-76cb46ee42fa%2Fzds7a5r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Choose = 0 and find for an entangled state of the form
0
0
|I)
>- (B),B),-),B))
1/12
=
2
1
0
1
0
the probability of detecting particle 1 in spin-up with respect to an angle 0₁ and
at the same time particle 2 in spin-up with respect to an angle 02.
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please solve the second part
![2. Choose = 0 and find for an entangled state of the form
0
0
|I)
>- (B),B),-),B))
1/12
=
2
1
0
1
0
the probability of detecting particle 1 in spin-up with respect to an angle 0₁ and
at the same time particle 2 in spin-up with respect to an angle 02.](https://content.bartleby.com/qna-images/question/4c1c0505-6119-4e49-9c75-0d7ccb62ac30/ecf69d37-b67d-40cd-8726-0c050f8ffd35/i64ligof_thumbnail.jpeg)
Transcribed Image Text:2. Choose = 0 and find for an entangled state of the form
0
0
|I)
>- (B),B),-),B))
1/12
=
2
1
0
1
0
the probability of detecting particle 1 in spin-up with respect to an angle 0₁ and
at the same time particle 2 in spin-up with respect to an angle 02.
Solution