spin matrixの例文
- \begin { pmatrix } 0 \ \ 1 \ end { pmatrix } represents a proton ( in the representation where \ rho is the usual \ sigma _ z spin matrix ).
- This can be used to define a spinor as a column vector of 2 " s " + 1 components which transforms to a rotated coordinate system according to the spin matrix at a fixed point in space.
- The spinor / quaternion representation of rotations in 3D is becoming increasingly prevalent in computer geometry and other applications, because of the notable brevity of the corresponding spin matrix, and the simplicity with which they can be multiplied together to calculate the combined effect of successive rotations about different axes.
- As symmetry group, like the Pauli spin group of order 4 or also QCD of order 8, they generate, together with the first Pauli spin matrix of order 2 ( or a similar reflection of order 2 ), symmetry groups of order 6 or 12 ( not used in physics today ) for the 12fold fermionic series.