ffsim.random.random_molecular_hamiltonian_unrestricted

ffsim.random.random_molecular_hamiltonian_unrestricted(norb, seed=None, dtype=<class 'complex'>)[source]

Sample a random spin-unrestricted molecular Hamiltonian.

The one- and two-body tensors of each spin sector are sampled independently, so the resulting Hamiltonian is not invariant under exchanging the spin alpha and spin beta orbitals.

The alpha-beta two-body tensor is sampled without imposing the symmetry under exchanging its two index pairs that the same-spin tensors possess. This symmetry is not required of the alpha-beta tensor, because the beta-alpha term of the Hamiltonian supplies the transposed contribution. See MolecularHamiltonianUnrestricted.

Parameters:
  • norb (int) – The number of spatial orbitals.

  • seed – A seed to initialize the pseudorandom number generator. Should be a valid input to np.random.default_rng.

  • dtype – The data type to use for the one- and two-body tensors. The constant term will always be of type float.

Return type:

MolecularHamiltonianUnrestricted

Returns:

The sampled spin-unrestricted molecular Hamiltonian.