spheres.coordinates

Coordinate transformations, mainly sphere related.

Functions

c_sph(c)	Converts extended complex coordinate to spherical coordinates.
c_spinor(c)	Converts extended complex coordinate to a spinor.
c_xyz(c[, pole])	Stereographic projection from the extended complex plane to the unit sphere.
sph_c(sph)	Converts spherical coordinates to extended complex coordinate.
sph_spinor(sph)	Converts spherical coordinates to spinor.
sph_xyz(sph)	Converts spherical coordinates \((\theta, \phi)\) to cartesian coordinates \((x, y, z)\).
spinor_c(spinor)	Converts spinor \(\begin{pmatrix} a \\ b \end{pmatrix}\) to extended complex coordinate.
spinor_sph(spinor)	Converts spinor to spherical coordinates.
spinor_xyz(spinor)	Converts spinor \(\mid \psi \rangle\) to cartesian coordinates by taking the expectation values with the three Pauli matrices: \((\langle \psi \mid X \mid \psi \rangle, \langle \psi \mid Y \mid \psi \rangle, \langle \psi \mid Z \mid \psi \rangle)\).
xyz_c(xyz[, pole])	Reverse Stereographic projection from the unit sphere to the extended complex plane.
xyz_sph(xyz)	Converts cartesian coordinates \((x, y, z)\) to spherical coordinates \((\theta, \phi)\).
xyz_spinor(xyz)	Converts cartesian coordinates to a spinor by reverse stereographic projection to the extended complex plane, and then lifting the latter to a 2-vector.