The proper statement is no two electrons can be placed simultaneously in a fully

defined quantum state. This is called the exclsion principle, valid for Fermions.

(electrons are Fermions)

If the state is such that all qantum numbers are shared, except spin, then the two spins must be opposite.

The rule is very important to understand the sequence of chemical elements in the periodic table.

Look at Beiser, Modern Physics.

Exclusion principale în singularities like black holes... who knows ...

The Pauli exclusion principle governs the behavior of all fermions (particles with half-integer spin), while bosons (particles with integer spin) are not subject to it.

prof.Dr Hadi

Dr. Jacob Nagler

In addition to all the interesting answers, in 2D theoretical condensed matter physics when particles are exchanged, rather than having the ± sign distinguishing bosonic-like particles from fermionic-like particles in the commutation/anticommutation rules, 2D quasiparticles such as anyons may pick up an arbitrary phase eiθ. This would be also the case for parafermions, those that describe qubits.

Please check:

https://physics.stackexchange.com/questions/76617/what-is-parafermion-in-condensed-matter-physics

Best Regards.

Physicists locate by computing square amplitudine. Now if one would do the inverse (square root of the amplitude) the conclusion were that 1 particle can be în 2 different places at the same time

Paul

You just talk about amplitude or its square. The later is probability density.

Square root of amplitude is nonsense, not what you say.

Psi(x1,x2,t) describes wave function of two particles at two locations.

For identical electrons in the same state Psi(x1,x2,t) = -Psi (x2,x1,t)

concluding that Psi(x,x,t) =0 the exclusion principle.

For Bosons there is no minus sign.

Square root of amplitude is my invention: an irony