INNER CODE UNIT · Python
R
ssebastianmag/hydrogen-wavefunctions · hydrogen_wavefunction.py:75
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).
theta (np.ndarray): Polar angle(s) in radians in the interval theta ∈ [0, π].
phi (np.ndarray): Azimuthal angle(s) in radians in the interval phi ∈ [0, 2π).