INNER CODE UNIT · Python

log_pref

ssebastianmag/hydrogen-wavefunctions · hydrogen_wavefunction.py:72

    log_pref = 1.5 * np.log(2.0 * Z / (n * a_mu))
    log_pref += 0.5 * (sp.gammaln(n - l) - (np.log(2.0 * n) + sp.gammaln(n + l + 1)))
    pref = np.exp(log_pref)
    R = pref * np.exp(-rho / 2.0) * np.power(rho, l) * L
    return R


def spherical_harmonic_Ylm(
        l: int,
        m: int,
        theta: np.ndarray,
        phi: np.ndarray
):
    """ Complex spherical harmonic Y_{l,m}(theta,phi); orthonormal on S².

        Parameters:
            l (int): Orbital angular-momentum quantum number (l ≥ 0).
            m (int): Magnetic quantum number (-l ≤ m ≤ l).

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