Ground and excited states of the hydrogen negative ion in strong magnetic fields

Abstract

The lowest bound states of the hydrogen negative ion and negative donor systems in a homogeneous magnetic field are investigated theoretically via a full configuration-interaction approach with an anisotropic Gaussian basis set. The broad magnetic field regime ␥ϭ8ϫ10 Ϫ4 Ϫ4ϫ10 3 is covered. Nonrelativistic total energies, electron detachment energies, and transition wavelengths are presented assuming an infinite nuclear mass. The binding mechanisms are discussed in detail. The accuracy for the energies is enhanced significantly compared to previously published data.

Beryllium in strong magnetic fields

“…For the basis set of atomic orbitals we choose anisotropic Gaussian functions, which have been introduced for atomic and molecular calculations in strong magnetic fields by Schmelcher and Cederbaum [35]. This basis set has been successfully applied to several atoms, ions and molecules [13,36,37,38]. A major advantage of it is the flexibility: The anisotropic Gaussian functions can be adapted to any (zero or non zero) field strength by adjusting the corresponding nonlinear variational parameters.…”

Charged donor in a quantum well subjected to electric and strong magnetic fields

“…A comprehensive study and summary of the problem of the H -in the presence of a strong magnetic field in an unbound medium is given recently by Al-Hujaj and Schmelcher in ref. [5]. Particularly it was pointed out that the magnetic field significantly increases the binding energy of the H -.…”

Helium in superstrong magnetic fields

“…Its basic ingredient is an anisotropic Gaussian basis set, which was put forward by Schmelcher and Cederbaum [37]. This one-particle basis is sufficiently flexible to to describe finite electronic systems for any field strength and was successfully applied to several atoms and molecules in magnetic fields [16][17][18][38][39][40][41].…”