Then I don’t know what to do :( I have been told that a many particle system can be described using the tensor product of each Hilbert space, and that when these particles are identical, I should (anti)symmetrize the wavefunction. So I thought I could describe this atom in this way. Does anyone...
Yes, that makes sense.
For the composite wavefunction, I would write (up to normalization):
$$\psi=\psi_1\psi_2\psi_3\psi_4-\psi_3\psi_2\psi_1\psi_4-\psi_1\psi_4\psi_3\psi_2+\psi_3\psi_4\psi_1\psi_2$$
(to be understood as tensor product of proton space x electron space x proton space x...
Oh, thank you so much! That was enlightening.
So, my doubt is now regarding spin-statistics theorem. The spin of the H atom can be 0 or 1, that is, an integer, and I believe this is not an approximation. But if this system can only be considered a boson when we are dealing with lengths scales...
Hello, I recently came across the following (apparent, I hope) paradox: suppose we have two H atoms. Now, a hydrogen atom is made up of one proton and one electron (fermions), so it is a boson. Then one could have two hydrogen atoms which are in the exact same state (including position). This...