2 ms·
While the behaviors of fermions and of bosons are indeed responsible for what you consider miracles, I fail to see which is the special relationship between the
by adrian_b 2y ago
While the behaviors of fermions and of bosons are indeed responsible for what you consider miracles, I fail to see which is the special relationship between the Fermi-Dirac and Bose-Einstein statistics and "quantum entanglement" that you have in mind.
- PaulHoule 2y agoLike so. Using the Schrodinger formulation it is invalid to talk about two particles having separate wavefunctions like ψ(x₁) and ψ(x₂) but rather you have a single wavefunction written ψ(x₁,x₂) and in the case of Fermions you have ψ(x₁,x₂) = -ψ(x₂,x₁) and for Bosons you have ψ(x₁,x₂) = ψ(x₂,x₁). People get confused about EPR because they think the world is ψ(x₁) and ψ(x₂) when it is really ψ(x₁,x₂).
- adrian_b 2y agoHaving a single wavefunction just corresponds to the normal rule for the probabilities of events that are not independent. I still do not see any connection with "quantum entanglement". Quantum entanglement is a very special case of the single wavefunction, not frequently encountered at large scales. In the general case that is valid for almost everything around us that single wavefunction differs only slightly from the product of many simpler wavefunctions that correspond to parts of the environment between which the interactions are non-existent or minimal.
- PaulHoule 2y agoIt would be just a probability of the wavefunction were real valued. Because it is complex valued it's a lot more than a probability, e.g., entanglement is possible.