Is the electron of Phosphorus entangled with its nucleus?

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Discussion Overview

The discussion revolves around the concept of entanglement between the electron of phosphorus and its nucleus, exploring both the nature of this entanglement and the implications of electron interactions within an atom. The scope includes theoretical considerations and speculative reasoning about quantum mechanics.

Discussion Character

  • Exploratory, Debate/contested, Conceptual clarification

Main Points Raised

  • Some participants assert that there is a statistical correlation between the position of the nucleus and the electrons, suggesting a form of entanglement, although the specifics of spin entanglement remain uncertain.
  • Others propose that while many electrons in an atom may be entangled with each other, it is complex to specify every possible combination of entanglement, including potential spin entanglement with the nucleus.
  • One participant mentions that in a pair of indistinguishable electrons within a specific orbital, entanglement is expected, but questions whether this entanglement remains exclusive when considering other orbitals with indistinguishable electrons.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the nature and extent of entanglement between the electron and the nucleus, with multiple competing views and uncertainties expressed throughout the discussion.

Contextual Notes

The discussion includes assumptions about the nature of entanglement and the behavior of electrons in different orbitals, which remain unresolved and may depend on specific definitions and interpretations of quantum mechanics.

Laith1
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Need a quick answer!
 
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Yes, of course.
(That's the quick answer you asked for)
 
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There certainly is a statistical correlation between the position variables of the nucleus and the electrons - if the electron happens to be somewhere on the Moon, it would be unlikely to find the nucleus here on the Earth. So there is an entanglement. I'm not that sure whether the spins of the nucleus and electrons are entangled.
 
Laith1 said:
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Why?
 
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Many electrons in an atom are entangled with each other. I don't think it's possible to specify every combination that could occur. Possible spin entanglement with the nucleus too.

In a pair in a specific orbital, where one has spin up and the other is spin down - and indistinguishable, I would expect entanglement. However, I am not sure the entanglement would be monogamous if other orbitals have indistinguishable electrons.
 

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