Why Are Multiple Quantum Numbers Allowed in a Hydrogen Atom?

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SUMMARY

The discussion centers on the quantum mechanical model of atomic structure, specifically regarding the hydrogen atom and its allowed quantum numbers. Participants clarify that despite hydrogen having only one electron, it can occupy multiple orbitals due to energy excitations. This leads to the existence of various principal quantum numbers (n), angular momentum quantum numbers (l), and magnetic quantum numbers (ml), which describe the electron's state in higher energy levels. Understanding these concepts is essential for grasping the complexities of quantum mechanics beyond the Bohr model.

PREREQUISITES
  • Quantum mechanics fundamentals
  • Understanding of atomic orbitals
  • Knowledge of quantum numbers (n, l, ml)
  • Familiarity with electron excitation processes
NEXT STEPS
  • Study the quantum mechanical model of the hydrogen atom
  • Learn about electron excitation and its effects on quantum states
  • Explore the significance of principal, angular momentum, and magnetic quantum numbers
  • Investigate the differences between the Bohr model and quantum mechanics
USEFUL FOR

Students of quantum mechanics, physics enthusiasts, and anyone seeking to deepen their understanding of atomic structure and electron behavior in hydrogen atoms.

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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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