How Do Energy Levels Work for Electrons in a 1D Box?

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Homework Help Overview

The discussion revolves around the quantized energy levels of electrons in a one-dimensional box, specifically addressing the application of the Pauli exclusion principle to a system of eight electrons. Participants are exploring how to calculate the minimum allowed total energy for this system.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the quantized energy formula and how to apply it to multiple electrons, questioning how many electrons can occupy each energy level and how to calculate the total energy based on their placements in energy states.

Discussion Status

The discussion is active, with participants providing various interpretations of the problem and calculations. Some guidance has been offered regarding the correct application of the energy formula and the implications of the Pauli exclusion principle, but there is no explicit consensus on the correct total energy calculation.

Contextual Notes

There are indications of confusion regarding the interpretation of the problem, particularly concerning the treatment of electrons as non-interacting particles and the implications of their interactions on energy calculations. Some participants express concerns about the clarity and validity of the problem statement itself.

  • #31
PeroK said:
... particles are abstract ideas! Particles are states!
I am reading it now...yes well according to modern quantum field theory particles are states of the underlying field
 

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