Does the Pauli Exclusion Principle Apply to All Atoms in the Universe?

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The Pauli Exclusion Principle states that no two electrons can occupy the same quantum state within a single atom. However, electrons in separate atoms of the same element, like hydrogen, can share the same quantum state since they are not interacting. This principle applies to systems of interacting particles, meaning that while electrons in isolated atoms can be in the same state, those in a molecule or multi-electron atom must occupy different states. The strength of interactions influences whether electrons can share quantum states. Overall, the principle applies universally, but its implications vary based on the context of interaction.
sokol8
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The way I understand Pauli exclusion principle is: no two electrons can be of the same quantum state in an atom. But electrons from two atoms of the same element, let’s say hydrogen for simplicity, are in the same quantum state, is that right? That is what distinguished it from helium for example, different quantum states for electrons one atom, but the same of the two and more atoms of the same element which actually defines the element…Please correct me if I am wrong… Basically does the principle work for one atom as suggested by definition or for all atoms in the Universe as suggested by somebody...
 
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sokol8 said:
The way I understand Pauli exclusion principle is: no two electrons can be of the same quantum state in an atom.

Correctly it says that no two electrons can be of the same quantum state in a system of interacting elements. Yes, as everything in the Universe interacts with everything, in principle, there can not be two electrons in the same state in the world. But the energy difference depends of the strength of the interaction, so two free hydrogen atoms in two different vessels can have electrons of the same energy, at the same state, while a hydrogen molecule or a helium atom can not.

ehild
 
ehild said:
Correctly it says that no two electrons can be of the same quantum state in a system of interacting elements. Yes, as everything in the Universe interacts with everything, in principle, there can not be two electrons in the same state in the world. But the energy difference depends of the strength of the interaction, so two free hydrogen atoms in two different vessels can have electrons of the same energy, at the same state, while a hydrogen molecule or a helium atom can not.

ehild

Thank you for your answer.
 
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