De Broglie: Kinetic or Total Energy?

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Discussion Overview

The discussion revolves around the interpretation of the energy term in the equation ##E=\hbar \omega##, specifically whether it refers to kinetic energy or total mechanical energy, which includes both kinetic and potential energy. The context includes theoretical considerations related to quantum mechanics.

Discussion Character

  • Conceptual clarification, Debate/contested

Main Points Raised

  • One participant questions whether the energy E in the equation ##E=\hbar \omega## represents only kinetic energy or total mechanical energy.
  • Another participant states that the Hamiltonian consists of kinetic plus potential energy.
  • A subsequent response reiterates the Hamiltonian's definition but seeks clarification specifically about the energy in the equation ##E=\hbar \omega##.
  • One participant asserts that E is the total energy.
  • A later reply indicates that the follow-up question depends on the initial interpretation of E, suggesting that confusion exists regarding its definition.
  • Another participant expresses that they were right to be confused, reinforcing the idea that E is understood as total energy.

Areas of Agreement / Disagreement

Participants express differing views on the interpretation of E, with some asserting it is total energy while others seem to question this interpretation. The discussion remains unresolved regarding the definitive nature of E in the context of the equation.

Contextual Notes

The discussion highlights a potential ambiguity in the definition of energy in quantum mechanics, particularly in the context of the equation ##E=\hbar \omega##, and the implications of this for understanding kinetic versus total energy.

Isaac0427
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Just a quick question (although there is a followup depending on the answer). In the formula ##E=\hbar \omega##, is E only kinetic energy or the total mechanical energy (kinetic energy plus potential energy). Thanks!
 
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The Hamiltonian is kinetic + potential energy
 
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BvU said:
The Hamiltonian is kinetic + potential energy
I know that, I'm asking about the E in the equation ##E=\hbar \omega##.
 
It is the total energy
 
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Isaac0427 said:
although there is a followup depending on the answer
Well, out with it :smile: !
 
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BvU said:
Well, out with it :smile: !
As I said, depending on the answer. If it was just the kinetic energy, I would have been confused about something, but apparently I was right to be confused because it is the total energy.
 

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