The discussion centers on the conceptual understanding of whether identical non-interacting particles, specifically fermions like electrons, can be considered distinguishable or indistinguishable. It explores the implications of their indistinguishability in the context of quantum mechanics, particularly regarding the Pauli exclusion principle.
Participants express differing views on the distinguishability of non-interacting identical fermions, with some asserting they are indistinguishable and others suggesting they could be treated as distinguishable. The discussion remains unresolved regarding the implications of these perspectives.
The discussion highlights the complexity of the concept of indistinguishability in quantum mechanics, particularly in relation to the definitions and assumptions surrounding non-interacting particles.
xepma said:No, the indistinguishability of the electrons is also present in the absence of interactions. Any wavefunction of the electrons is anti-symmetrized. So although the electrons do not interact, they still feel some form of repelment as they cannot occupy the same state.
It's ofcourse a mathematical statement, since non-interacting particles can hardly be considered physical.