openfermion.hamiltonians.special_operators.s_minus_operator

Return the s+ operator.

openfermion.hamiltonians.special_operators.s_minus_operator(
    n_spatial_orbitals: int
) -> openfermion.ops.FermionOperator

\[ \begin{align} S^{-} = \sum_{i=1}^{n} a_{i, \beta}^{\dagger}a_{i, \alpha} \end{align} \]

n_spatial_orbitals number of spatial orbitals (n_qubits + 1 // 2).

operator FermionOperator

corresponding to the s- operator over n_spatial_orbitals.

The indexing convention used is that even indices correspond to spin-up (alpha) modes and odd indices correspond to spin-down (beta) modes.