Recent content by Gere

How is that? The above (my) recipe works for any density matrix and hence an arbitrary number of spins can be modeled with a dot product between real vectors?

Thanks. Could you please suggest some basic example I could try to calculate to see how it becomes ugly? Ideally you would also write it out in conventional notation (it should be simple?!). I've only tried the spin case so far and $$\hat{n}+e_4$$ was a lot easier than $$I+\sigma_x n_x+\sigma_y...

I may need more time to understand all of the above as it introduces a lot of new concepts. However, as a conclusion, is this a "yes" or a "no" to the question whether QM can be done in a purely real vector space with the dot product, without even using operators?

I assume it can be derived from something like Noether's law from the invariance of physical laws in space and time. But I don't know the exact derivation in QM. I think I saw an argument about space invariance and momentum operator in QM somewhere. For energy it's roughly like: you need a...

Is the following a correct demonstration that quantum mechanics can be done in a real vector space? If you simply stack the entries of density matrices into a column vector, then the expression ##\textrm{Tr}(AB^\dagger)## is the same as the dot product in a complex vector space (Frobenius inner...