Schrödinger’s Equation: Smoothed Particle Dynamics

· quantum mechanics
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Hydrogen_Density_Plots

Eigenfunctions of the Hamiltonian for Hydrogen with eigenvalues representing the sum of kinetic and potential energies, with Schrödinger’s equation as a smoothed version of the particle dynamics of a harmonic oscillator.

This is continuation of the previous post How to Make Schrödinger’s Equation Physically Meaningful + Computable. Consider the basic case of the Hydrogen atom with one electron (normalized to unit mass and charge): continue reading…

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