Recent content by Slereah

Sure, but let's say we have a spacetime that can admit such a symmetry. Let's say \mathbb{R} \times \mathbb{R}^3, with a distribution of matter symmetrical by reflection along some plane.

I am unable to find any source describing at any lengths transformations of the type x \rightarrow -x beyond the case of static spacetime (and even in the case of static spacetime, it is rarely the fundamental definition, which tends to be more along the lign of orthogonality with an...

Extracting the vector isn't the hard part, but merely comparing the two gives me something like \psi_+ \chi_+ \propto - V_x - i V_y and \psi_- \chi_- \propto V_x - i V_y But the vector should be something like (\psi_+ \chi_+, \psi_- \chi_-,\frac{1}{\sqrt{2}}(\psi_+ \chi_- + \psi_-...

I am currently trying to find how to derive the decomposition for two particles via the tensor notation, for instance for the product of two particles of spin 1/2 : \frac{1}{2} \otimes \frac{1}{2} = 1 \oplus 0 Giving the components of spin 1 and 0. So to do it, I write down the product...