Energy levels in a potential well

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Discussion Overview

The discussion revolves around the concept of ground state energy in a potential well, specifically addressing why the ground state energy is not zero. Participants explore the implications of quantum numbers and the nature of energy states in atomic systems.

Discussion Character

  • Conceptual clarification, Debate/contested

Main Points Raised

  • One participant questions why the ground state energy is not zero, seeking a simple explanation.
  • Another participant provides a formula for energy states defined by the principal quantum number (n), stating that the ground state corresponds to n=1, and explains that n cannot start from zero due to the implications of infinite energy.
  • A different viewpoint suggests that while the ground state energy can be defined as non-zero, one can choose to set the ground state energy of any system to zero for convenience.

Areas of Agreement / Disagreement

Participants express differing views on the definition and implications of ground state energy, indicating that multiple competing perspectives remain without a consensus.

Contextual Notes

Some assumptions about the nature of energy states and the implications of quantum numbers are not fully explored, and the discussion does not resolve the broader implications of defining energy levels.

physmile
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I know this question seems very simple which is why its bugging me so much:
Why is the ground state energy not zero?
A simple answer would be greatly appreciated
 
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physmile said:
I know this question seems very simple which is why its bugging me so much:
Why is the ground state energy not zero?
A simple answer would be greatly appreciated

Energy states are defined with principle quantum number (n). n= 1,2,3...

[tex]E_{n}= \frac{-me^{4}}{2h^{2}n^{2}}[/tex]

"Ground state" means 1st term in serie of "n" and it's 1.

You may ask, why doesn't "n" start from zero? When you put 0 for n, energy goes to infinite and that mean electron separated from atom. That's why n doesn't start from zero.


And finally your question, there is allways a energy in an atom because of the Coloumb potential. The energy never been zero.
 
Only changes in energy are physical. You can define the ground state of any particular system to have zero energy.
 
Thank you very much for your help torehan!
 

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