Ground state of the carbon atom in strong magnetic fields

Abstract

The ground and a few excited states of the carbon atom in external uniform magnetic fields are calculated by means of our 2D mesh Hartree-Fock method for field strengths ranging from zero up to 2.35 · 10 9 T. With increasing field strength the ground state undergoes six transitions involving seven different electronic configurations which belong to three groups with different spin projections Sz = −1, −2, −3. For weak fields the ground state configuration arises from the field-free 1s 2 2s 2 2p02p−1, Sz = −1 configuration.With increasing field strength the ground state involves the four Sz = −2 configurations

Ground states of H, He,…, Ne, and their singly positive ions in strong magnetic fields: The high-field regime

“…The numerical approach applied in the present work coincides with that of our previous investigations [17][18][19]. Refs.…”

“…In the present work as well as in ref. [17][18][19] we obtain these potentials as solutions of the corresponding Poisson equation.…”

“…[11] and references therein). Focusing on systems with more than two electrons however the number of investigations is very scarce [13][14][15][16][17][18][19]. Some of them use the adiabatic approximation in order to investigate the very high field regime.…”

“…(If not indicated otherwise we use in the following atomic units for all quantities. In particular, the magnetic field γ = B/B 0 is measured in units B 0 =hc/ea 2 0 = 2.3505·10 5 T = 2.3505·10 9 G.) In previous works we have investigated the series of transitions of the ground state configurations for the complete range of field strengths for the lithium [18] and carbon [19] atoms as well as the ion Li + [18]. The evolution and appearence of these crossovers and the involved configurations become more and more intricate with increasing number of electrons of the atom.…”

“…The evolution and appearence of these crossovers and the involved configurations become more and more intricate with increasing number of electrons of the atom. Currently the most complicated atomic system with a completely known sequence of ground state electronic configurations for the whole range of magnetic field strengths is the neutral carbon atom [19]. Its ground state experiences six crossovers involving seven different electronic configurations which belong to three groups of different spin projections S z = −1, −2, −3 onto the magnetic field.…”