openfermion.hamiltonians.jellium.coulomb_potential_momentum

Return the momentum space Coulomb potential for a given dimension.

openfermion.hamiltonians.jellium.coulomb_potential_momentum(
    momenta_squared: float, dimension: int, volume: float, a_1d: float = 1.0
) -> float

For 1-D systems, a soft coulomb potential is used with a regularization parameter of a: \(v(r) = \frac{1}{\sqrt{r^2 + a^2} }\)

momenta_squared float

The squared momentum vector.

dimension int

The dimension of the system (1, 2, or 3).

volume float

The volume (or area, or length) of the simulation cell.

a_1d float

The regularization parameter a for 1-D systems (default 1.0).

float The potential coefficient.