Variational Ground State for Relativistic Ions in Strong Magnetic Fields
نویسنده
چکیده
The lowest bound state of a one-electron ion in a constant magnetic field B is calculated from the pseudorelativistic no-pair Brown-Ravenhall operator. The variational wavefunction is chosen as the product of a Landau function (in the transverse direction) and a hydrogenic state (in the longitudinal direction). The dependence of the ground-state energy on the nuclear charge Z as well as on the magnetic field strength is investigated, and a scaling with B/Z2 is observed. Relativistic effects are shown to be important both for large B and large Z. When B →∞, a decrease of the ground-state energy with √ B is found in contrast to the lnB behaviour of the Pauli operator. PACS: 02.30.Xx, 03.65.-w, 03.65.Pm
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