Does the Pauli Exclusion Principle Span Distance?

[argonurbawono]

sometimes i think, would the pauli exclusion principle still apply if the fermions span a very large spatial distance?

for example if i have a very very loooong chain of condensed electrons, wouldn't it be possible that the electrons at both ends occasionaly occupy the same quantum state?

 

[Rach3]

Position is part of the description of a quantum state. When electrons are sufficiently separated that their wavefunctions effectively do not overlap, there is no Pauli exclusion for their spin states.

 

[argonurbawono]

i see.

thanks.