Why is the minimum energy equal to the energy uncertainty?

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Discussion Overview

The discussion revolves around the relationship between minimum energy and energy uncertainty, particularly in the context of a video explanation. Participants are seeking clarification on a specific statement made in the video regarding the inequality ΔE≥½hf and its implications for the ground state energy E0.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant questions the assertion that ΔE≥½hf implies E0=½hf, seeking clarification on this relationship.
  • Another participant challenges the premise, stating that the minimum energy is not equal to the energy uncertainty.
  • A third participant attempts to clarify that the statement in the video suggests that the ground state energy E0 is equal to hf/2, but this interpretation is contested.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between minimum energy and energy uncertainty, with no consensus reached on the interpretation of the video content.

Contextual Notes

There are unresolved interpretations regarding the implications of the inequality ΔE≥½hf and its connection to the ground state energy, as well as the clarity of the video content itself.

asdf
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TL;DR
Why is the minimum energy equal to the energy uncertainty?
I was watching this video on Youtube, however, I don't get the step at 14:50 where he says that ΔE≥½hf means that E0=½hf.

Could someone explain why the minimum energy is equal to the energy uncertainty?

 
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"Watch this obviously confusing video and then explain it to me" is a big, big ask.
asdf said:
Could someone explain why the minimum energy is equal to the energy uncertainty?
It's not.
 
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Amended: "Watch this obviously confusing 37 minute video..."
 
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asdf said:
I don't get the step at 14:50 where he says that ΔE≥½hf means that E0=½hf.
It's just saying that, since the energy of any state whatever must be greater than or equal to ##hf / 2##, the energy of the lowest energy state, the ground state energy ##E_0##, is equal to ##hf / 2##.

asdf said:
Could someone explain why the minimum energy is equal to the energy uncertainty?
That's not what the above is saying.
 
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