def METHOD_NAME(eri, k, p):
    """
    Calculates the corrected orbital energy.
    Args:
        eri (PhysERI): a container with electron repulsion integrals;
        k (int): the k-point index;
        p (int): orbital;
    Returns:
        The corrected orbital energy.
    """
    moe = eri.mo_energy[k][p]
    moc = eri.mo_coeff[k][:, p]
    nk = len(eri.mo_energy)
    vk = 0
    for k2 in range(nk):
        vk -= eri.ao2mo_k((
            moc[:, numpy.newaxis],
            eri.mo_coeff_full[k2][:, :eri.nocc_full[k2]],
            eri.mo_coeff_full[k2][:, :eri.nocc_full[k2]],
            moc[:, numpy.newaxis],
        ), (k, k2, k2, k)).squeeze().trace().real
    vk /= nk
    mf = eri.model
    v_mf = mf.get_veff()[k] - mf.get_j()[k]
    v_mf = einsum("i,ij,j", moc.conj(), v_mf, moc).real
    return moe + vk - v_mf