Recent content by Syrius

Hello Adrien and ck00, thank you for your answers. I do know the transformation law that Adrien mentioned. However, my question is a little bit different and I will illustrate it with an example. Let \hat{p}_{\text{mech}} = \hat{p} - \frac{q}{c} \mathbf{A} , where \hat{p} is the usual...

Hello everybody, I am currently struggling with a problem that I came across while spending some free time on non-relativistic quantum mechanic problems. Suppose we have an electron that is describe at time t_0 = 0 by a wave function in position space \psi(x,y,z). Furthermore, assume...

Cheers everybody, the Hamiltonian of an even anharmonic oscillator is defined as H_N(g) = - \frac{1}{2} ∂_q^2 + \frac{1}{2} q^2 + g q^N (N even). In a paper (PRl 102, 011601) I found that to determine the eigenenergies of this system the Euclidean path integral formalism is used. They...

Hello morphism, Yes, I mean the identity component. Thank you, that helps a lot. So in my own words, since the Lie algebra of SL(2,C) is nothing else than the direct sum of the SU(2) Lie algebra, and SL(2,C) is covering the identity component of SO(3,1), I am getting 6 generators which...

Cheers everybody, I have a question regarding the Lie-Algebra of the SO(3,1), i.e. the Lorentz group. The generators are denoted by M_{\mu \nu} with M_{\mu \nu} = - M_{\nu \mu} and fulfill the following commutation relations [M_{\mu \nu}, M_{\rho \sigma}] = g_{\mu \rho} M_{\nu \rho} +...

Hello Achuz, I am studying this paper, because I'd like to know the origin of the Breit interaction, since it appears frequently in atomic physics calculations. Greetings, Syrius

Cheers everybody, I've got a question about an equation in the famous paper "The Effect Of Retardation On The Interaction Of Two Electrons" by G. Breit. There on the first page, it is said, that a first guess for a two electron relativistic wave equation is made by constructing the...