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It could refer to (1) A hydrogen molecule; two hydrogen atoms bonded together, or (2) A hydrogen atom; one electron electromagnetically interacting with a nucleus made of a single proton. Hydrogen atoms are the simplest atoms, and they are the only atoms for which we can exactly solve the Schrödinger Equation. Hydrogen atoms are the only atoms which could exist even in a world with fine-structure constant $1$.

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How does the time evolution of a hydrogen atom work?

If I am given the initial stationary spatial wavefunction of a hydrogen atom, how does it change through time? …
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