Scope of Pauli's Exclusion Principle

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Discussion Overview

The discussion revolves around the scope of Pauli's exclusion principle, particularly focusing on the implications of the principle regarding the quantum states of fermions in various systems. Participants explore how the principle applies at different scales and contexts, including atomic and universal levels.

Discussion Character

  • Conceptual clarification, Debate/contested

Main Points Raised

  • One participant questions how to define the system when considering the exclusion principle, asking for clarification on the parameters involved.
  • Another participant suggests that the principle is significant at the atomic scale, highlighting the importance of wave behavior in quantum mechanics for electrons.
  • Some participants assert that the exclusion principle applies universally, stating that two fermions of the same type cannot occupy the same quantum state regardless of their locations, though they acknowledge that localization affects the definition of "state."

Areas of Agreement / Disagreement

Participants express differing views on the definition of the system in which the exclusion principle applies, with some asserting a universal application while others seek clarification on the parameters involved. The discussion remains unresolved regarding the specifics of how to choose the system.

Aniket1
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What is the scope of Pauli's exclusion principle? When we say two particles in a system cannot have the same quantum state, how do we choose the system?
 
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Roughly speaking, at atomic scale, when quantum mechanics show its importance. The wave behavior of electron is significant at such scales.
 
Any system at all. Two fermions of the same type anywhere in the universe cannot be in the same state. (Of course if one of them is localized on Earth and the other localized on Mars, say, they are in different states!)
 
Bill_K said:
Any system at all. Two fermions of the same type anywhere in the universe cannot be in the same state. (Of course if one of them is localized on Earth and the other localized on Mars, say, they are in different states!)

Thank you
 

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