Ground state energy of large atoms in a self-generated magnetic field

Details Ground state energy of large atoms in a self-generated magnetic field Ground state energy of large atoms in a self-generated magnetic field

2009-03-10

arxiv.org/abs/0903.1816v1

Physics

Mathematical Physics

Scientific paper

We consider a large atom with nuclear charge $Z$ described by non-relativistic quantum mechanics with classical or quantized electromagnetic field. We prove that the absolute ground state energy, allowing for minimizing over all possible self-generated electromagnetic fields, is given by the non-magnetic Thomas-Fermi theory to leading order in the simultaneous $Z\to \infty$, $\al\to 0$ limit if $Z\al^2\leq \kappa$ for some universal $\kappa$, where $\al$ is the fine structure constant.

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