Misc programs for Sakurai Modern Quantum Mechanics 3rd Edition.
Content
hydrogen-radial: computes the arbitrary precision closed-form formula for the radial wavefunction of hydrogen atom.
spherical-harmonics: computes the arbitrary precision closed-form formula for the spherical harmonics.
render-hydrogen: renders hydrogen electron probability density with arbitrary precision computation.
spherical-bessel: computes the arbitrary precision closed-form formula for the spherical bessel functions.
resonance-scattering: plots the resonance scattering for the partial waves of constant spherical well potential, this reproduces Figure 6.15, and allows to plot with different parameter values.
kohn-sham: carries out the detailed calculation of helium atom ground state based on the recipe given by the density function theory, and kohn-sham equation. This fills all the gaps left in section 7.6.5 and reproduces table 7.1 and figure 7.1
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