spheres.stars.pure

Implementation of the “Majorana stars” formalism for pure states of higher spin.

Functions

c_spin(c)	Takes 2j roots on the extended complex plane and returns the corresponding spin-j state (up to complex phase).
poly_roots(poly)	Takes a Majorana polynomial to its roots.
poly_spin(poly)	Converts a Majorana polynomial into a spin-j state.
roots_poly(roots)	Takes a set of points on the extended complex plane and forms the polynomial which has these points as roots.
sph_spin(sph)	Takes 2j “stars” given in spherical coordinates and returns the corresponding spin-j state (up to complex phase).
spin_c(spin)	Takes a spin-j state and returns its decomposition into 2j roots on the extended complex plane.
spin_poly(spin[, projective, homogeneous, …])	Converts a spin into its Majorana polynomial, which is defined as follows:
spin_sph(spin)	Takes a spin-j state and returns its decomposition into 2j “stars” given in spherical coordinates.
spin_spinors(spin)	Takes a spin-j state and returns its decomposition into 2j spinors.
spin_xyz(spin)	Takes a spin-j state and returns the cartesian coordinates on the unit sphere corresponding to its “Majorana stars.” Each contributes a quantum of angular momentum \(\frac{1}{2}\) to the overall spin.
spinors_spin(spinors)	Given 2j spinors returns the corresponding spin-j state (up to phase).
xyz_spin(xyz)	Given the cartesian coordinates of a set of “Majorana stars,” returns the corresponding spin-j state, which is defined only up to complex phase.