Week 8 Flashcards

1
Q

Prove

A
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2
Q

Prove

A
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3
Q

Prove

A
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4
Q

What 2 by 2 matrix has the properties

A

Rotation matrix

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5
Q

SO(3) matrix is always

A

Rotation wrt certain axis

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6
Q

Σ

A

The real linear space of self adjoint traceless 2by2 matrices

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7
Q

Basis of Σ

A

Pauli matrices

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8
Q

Prove

A
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9
Q

Prove

A

There is a homomorphism φ:SU(2) -> SO(3) that is surjective and has kerΦ~= Z2

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