Recent content by Dalor

Thank you all for your enlightening answers. Is there "a simple" argument pointing out that not all irreps will show up ? (in the vein of totalitarian principle) Do you have the reference ? And, nothing about the relation beetween energy and irreps ( ## E_n< E_{n+1}##), why higher dimension...

Thank you ! I will look for this SO(4) symmetry of hydrogen atom (sadly I never heard about it !). That mean in a only SO(3) problem we expect only 2j+1 state degeneracy without ##n## ? Also does group theory give us the relative value of the energy of different representations ? $$...

Hi all, Group theory show us that irreducible representation of SO(3) have dimension 2j+1. So we expect to see state with 2j+1 degeneracy. But does group theory help to understand the principle quantum number n ? And in the case of problems with SO(3) symmetry does it explain its strange link...

Summary: I am trying to solve the trajectory of particle in a time independent field and I'm looking for the most efficient way, ie smallest error on the energy for a given calculation's time. I thought 4th order leapfrog integrator was better than RK4 but quick try does not seems to agree...

Thank you for the answer, yes I came to the same conclusion it does not seems easy to go from continuous to discret case. And may be Noether Theorem is not the correct approach. But I said Noether Theorem at first because I am interesting in concervation law in my Hamiltonian. Maybe there is...

So no one has any insight for that ? Even a small one ?

I am wondering if it existes some discret version of the Noether symmetry for potential with discrete symmetry (like $C_n$ ). The purpose is to describe the possible evolution of the phase space over the time without having to solve equations numerically (since even if the potential may have...

Oh I was definately not paying attention ! Of course my mistake. (Yes, they would be same particle, it was only for the "thought experiment".) Yep I meant the hadronic decay ##u \bar d##, ##u \bar s## and so on. My question came from the ## \Lambda^0##, the leptonic decay is suppressed by...

Hi, I have questions on the neutron decay What prevent the neutron to decay in udc or udt except mass/energy consideration ? If we do the assumption that (udc) and (udt) have the same mass than the proton (yes I know, this doesn't make sense) the three decay (p, udc, udt) woulld have the same...