# Questions tagged [hydrogen]

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 Schrodinger Equation. Hydrogen atoms are the only atoms which could exist even n a world with fine - structure constant 1.

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### How do we obtain radial part and angular part with spherical harmonics?

In a website (sorry, I can't find it anymore) I've read this when talking about spherical harmonics: if we want to determine simultaneous eigenfuntions of $L^2$ and $L_z$ we have to solve this system:...
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### Trying to understand the relationship between Hydrogen atom, spherical harmonics and central field force in quantum mechanics

I have a problem understanding three arguments in quantum mechanic: When we talk about a particle in a central field we have this kind of Hamiltonian: $$H=\frac{p^2}{2m}+V(r)$$ if we use spherical ...
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### Separable Hamiltonian systems in quantum mechanics

Why is it that in separable Hamiltonian problems the total eigenfunction is equal to the product of the individual eigenfunctions, but the individual Hamiltonians must commute? In mathematics, when ...
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### To which orbital does an excited electron in a hydrogen atom go?

For atoms other than hydrogen, each subshell within an energy level has distinct energy. For hydrogen, however, all orbitals within an energy level are degenerate (have the same energy). So, when the ...
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### Atom and Light interaction

I want to qualitatively get a picture of what happens when a hydrogen atom interacts with electromagnetic waves. If we consider that the hydrogen atom is in state $\phi_{100}$ (ground state) then the ...
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### Zeeman effect in hydrogen atom

Was the Zeeman effect observed for hydrogen atoms experimentally? Is there any reference?
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### What is a good definition for Radial Probability Density?

Hi Physics Stack Exchange, I’m a student with first year university chemistry knowledge and high school mathematics and physics knowledge (e.g. am familiar with complex numbers). I’m having some ...
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### Formula for wavelength emitted taking into account the quantum orbital number $l$
Rydberg's formula can be used to find the wavelength emitted due to an electron moving from one energy level $n_i$ to another one $n_f$. But when the Schrödinger's model of the atom is introduced we ...