Module lattice_qcd_rs::su2

Module for SU(2) matrix

Constants

• PAULI_1
  First Pauli matrix.
• PAULI_2
  Second Pauli matrix.
• PAULI_3
  Third Pauli matrix.
• PAULI_MATRICES
  List of Pauli matrices, see wikipedia

Functions

• complex_matrix_from_vec
  Return x0 1 + i x_i * \sigma_i.
• is_matrix_su2
  Return wether the input matrix is SU(2) up to epsilon.
• project_to_su2
  Project the matrix to SU(2). Return the identity if the norm after unormalize is subnormal (seef64::is_normal).
• project_to_su2_unorm
  Take any 2x2 matrix and project it to a matrix X such that X / X.determinant().modulus().sqrt() is SU(2).
• random_su2
  Get an Uniformly random SU(2) matrix.
• random_su2_close_to_unity
  Get a radom SU(2) matrix close the 1 or -1.