Why Are Multiple Quantum Numbers Allowed in a Hydrogen Atom?

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In a hydrogen atom, multiple quantum numbers are allowed because the single electron can occupy various energy levels beyond the ground state. Although there is only one electron, it can be excited to higher orbitals, which correspond to different principal quantum numbers (n) and angular momentum quantum numbers (l). Each orbital represents a unique state that the electron can occupy, leading to a variety of orientations described by the magnetic quantum number (ml). The quantum mechanical model allows for these possibilities, expanding beyond the limitations of the Bohr model. Understanding these concepts is essential for grasping the complexities of quantum mechanics.
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Homework Statement


http://i.imgur.com/GQ9Xk6d.png
GQ9Xk6d.png


Homework Equations


Quantum mechanical model of atomic structure

The Attempt at a Solution


Why all sets are allowed?
H atom only got one e- which only one orbital should be there, isn't it?
If there aren't second or more e- , no second orbital or higher number of orbital, how comes there is higher number of shells (principle n) ? Hence as do the the number of angular momentum (l) for subshell and magnetic (ml) for the variety of orientation?

I am a newbie to QM, who learned only Bohr's model in high school.
Thank you very much.
 
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Electron can get excited. You are thinking in terms of the the lowest energy level it can occupy - which is not a bad starting point, but it is not a whole story either. When it gets excited it can jump up to any orbital, described by any set of valid quantum numbers.
 
i see.
thank you very much
 

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