qit.utils.angular_momentum

qit.utils.angular_momentum(*args)

Angular momentum matrices.

Returns the dimensionless angular momentum matrices $\overrightarrow{J}/\hslash$ for the d-dimensional subspace.

The angular momentum matrices fulfill the commutation relation $[J_x,J_y]=i{J}_z$ and all its cyclic permutations.

$\exp (-1i\ast J[k]\ast \theta )$ is a rotation by $\theta$ radians.

Parameters

d (int) – dimension, the corresponding angular momentum quantum number is j = (d-1)/2

Returns

3-tuple of angular momentum matrices (Jx, Jy, Jz)

Return type

tuple