Is the electron of Phosphorus entangled with its nucleus?

In summary, there is a statistical correlation between the position variables of the nucleus and electrons, which results in entanglement. While it is possible for the spins of the nucleus and electrons to be entangled, it is uncertain if this entanglement would be monogamous in cases where there are multiple indistinguishable electrons in different orbitals.
  • #1
Laith1
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Need a quick answer!
 
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  • #2
Yes, of course.
(That's the quick answer you asked for)
 
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  • #3
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.
 
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Laith1 said:
Need a quick answer!
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.
 

1. What is entanglement in the context of electrons and nuclei?

Entanglement refers to a phenomenon in quantum mechanics where two or more particles become connected in such a way that the state of one particle is dependent on the state of the other, even when separated by large distances. In the case of electrons and nuclei, entanglement can occur when the particles interact with each other through electromagnetic forces.

2. How do scientists determine if the electron of Phosphorus is entangled with its nucleus?

There are several experimental techniques that scientists can use to determine if an electron is entangled with its nucleus. These include measuring the spin of the electron and the nuclear spin, as well as studying the energy levels of the system. Additionally, theoretical calculations can also provide insight into the entanglement of electrons and nuclei.

3. What are the potential applications of entanglement between electrons and nuclei?

Entanglement between electrons and nuclei has potential applications in quantum computing, quantum communication, and quantum sensing. It can also be used to study and manipulate the properties of materials, as well as for precision measurements in various fields such as medicine and environmental science.

4. Can the entanglement between electrons and nuclei be controlled or manipulated?

Yes, scientists have developed techniques to control and manipulate entanglement between electrons and nuclei. This can be achieved through the use of external fields, such as magnetic or electric fields, or through carefully designing the system to maximize entanglement.

5. Is entanglement between electrons and nuclei a common occurrence?

Entanglement between electrons and nuclei is a common occurrence in many materials and systems, especially in those that involve interactions between particles. However, the degree of entanglement can vary and is dependent on factors such as temperature, external fields, and the specific properties of the particles involved.

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