Spherical wave expansions: quadratic, gaussians and plane waves.#37
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Add spherical wave expansion functions and examples
This pull request adds three new analytic spherical-harmonic radial-coefficient functions to potentials.py, along with accompanying example scripts.
New functions
gaussian_spherical_wave_expansion(r, r0, A, alpha, L_max, M_max)Computes
scipy.special.spherical_in.plane_wave_spherical_wave_expansion(r, k, L_max, M_max, sign)Computes
scipy.special.spherical_jn. Supportssignparameter.quadratic_potential_spherical_wave_expansion(r, r0, omega, L_max, M_max)Exact two-term expansion of
All functions follow the existing
L_max/M_max/LM_to_Iinterface and auto-detect real output.New example scripts
examples/gaussian_spherical_wave_expansion.py— single Gaussian and symmetric two-centre superposition (oddexamples/plane_wave_spherical_wave_expansion.py—