- not applicable
How do the Pauli spin matrices transform under an inversion ? I think I mean to say the 3 dimensional improper rotation which is just in 3 dimensional matrix notation minus the identity - so exactly how are the 2 dimensional Pauli spin matrices changed. And under a 180 rotation do the 'y' and 'z' matrices just get multiplied by sqrt(-1) ? And if so how do we determine when they will be multiplied by minus sqrt(-1) = -i or plus i ? Would a counterclockwise rotation of 180 degrees mean to multiply the y and z components by +i and the x component unchanged - actually I mean to say the three 2 dimensional matrices regarded as an operator - guess I mean to say in the same sense that I have read under a 360 degree rotation they are multiplied by -1 no matter what the axis of rotation(why the axis of rotation does not matter is a bit confusing). Would they be considered as vector or pseudo(axial) vector operators or neither one ?