arXiv subjects

O. -A. Al-Hujaj

Publications and source records attributed to O. -A. Al-Hujaj.

5 recordsLinked to original sources

arXiv2004

Beryllium in strong magnetic fields

We investigate the electronic structure of the beryllium atom subjected to a strong magnetic field in the regime 0 <= gamma <= 10 a.u. The ground as well as many excited states of spin singlet, triplet and quintet multiplicity covering the magnetic quantum numbers |M|=0,1,3,6 for both positive and negative z-parity are discussed and analyzed. Total and one-particle ionization energies are presented. Transition wavelengths as a function of the field strengths for allowed dipole transitions are provided.

physics.atom-ph↗

arXiv2004

Lithium in strong magnetic fields

The electronic structure of the lithium atom in a strong magnetic field 0 <= gamma <= 10 is investigated. Our computational approach is a full configuration interaction method based on a set of anisotropic Gaussian orbitals that is nonlinearly optimized for each field strength. Accurate results for the total energies and one-electron ionization energies for the ground and several excited states for each of the symmetries ^20^+, ^2(-1)^+, ^4(-1)^+, ^4(-1)^-, ^2(-2)^+, ^4(-2)^+, $^4(-3)^{+}$ are presented. The behaviour of these energies as a function of the field strength is discussed and classified. Transition wave lengths for linear and circular polarized transitions are presented as well.

physics.atom-ph↗

arXiv2003

Electromagnetic transitions of the helium atom in superstrong magnetic fields

We investigate the electromagnetic transition probabilities for the helium atom embedded in a superstrong magnetic field taking into account the finite nuclear mass. We address the regime γ=100-10000 a.u. studying several excited states for each symmetry, i.e. for the magnetic quantum numbers 0,-1,-2,-3, positive and negative z parity and singlet and triplet symmetry. The oscillator strengths as a function of the magnetic field, and in particular the influence of the finite nuclear mass on the oscillator strengths are shown and analyzed.

physics.atom-ph↗

arXiv2002

Helium in superstrong magnetic fields

We investigate the helium atom embedded in a superstrong magnetic field gamma=100-10000 au. All effects due to the finite nuclear mass for vanishing pseudomomentum are taken into account. The influence and the magnitude of the different finite mass effects are analyzed and discussed. Within our full configuration interaction approach calculations are performed for the magnetic quantum numbers M=0,-1,-2,-3, singlet and triplet states, as well as positive and negative z parities. Up to six excited states for each symmetry are studied. With increasing field strength the number of bound states decreases rapidly and we remain with a comparatively small number of bound states for gamma=10^4 au within the symmetries investigated here.

physics.atom-ph↗

arXiv1997

Objective Bayesian Statistics

Bayesian inference --- although becoming popular in physics and chemistry --- is hampered up to now by the vagueness of its notion of prior probability. Some of its supporters argue that this vagueness is the unavoidable consequence of the subjectivity of judgements --- even scientific ones. We argue that priors can be defined uniquely if the statistical model at hand possesses a symmetry and if the ensuing confidence intervals are subjected to a frequentist criterion. Moreover, it is shown via an example taken from recent experimental nuclear physics, that this procedure can be extended to models with broken symmetry.

physics.data-an↗