# Pauli Matrices under rotation

## Homework Statement

Can anyone tell me why Pauli Matrices remain invariant under a rotation.

## Homework Equations

Probably the rotation operator in the form of the exponential of a pauli matrix having an arbitrary unit vector as its input. It may also be written as:
I*Cos(x/2) - i* (pauli matrix).(unit vector) * Sin(x/2) where x is the angle of rotation.

See Sakurai 3.2.44

## The Attempt at a Solution

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olgranpappy
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## Homework Statement

Can anyone tell me why Pauli Matrices remain invariant under a rotation.

## Homework Equations

Probably the rotation operator in the form of the exponential of a pauli matrix having an arbitrary unit vector as its input. It may also be written as:
I*Cos(x/2) - i* (pauli matrix).(unit vector) * Sin(x/2) where x is the angle of rotation.

See Sakurai 3.2.44

## The Attempt at a Solution

Pauli Matrices are just matrices... they are just arrays of numbers. They don't rotate.

Avodyne