dorsal/arxiv
View SchemaThe helium atom in a strong magnetic field
| Authors | W. Becken, P. Schmelcher, F. K. Diakonos |
|---|---|
| Categories | |
| ArXiv ID | physics/9902059 |
| URL | https://arxiv.org/abs/physics/9902059 |
| DOI | 10.1088/0953-4075/32/6/018 |
Abstract
We investigate the electronic structure of the helium atom in a magnetic field b etween B=0 and B=100a.u. The atom is treated as a nonrelativistic system with two interactin g electrons and a fixed nucleus. Scaling laws are provided connecting the fixed-nucleus Hamiltonia n to the one for the case of finite nuclear mass. Respecting the symmetries of the electronic Ham iltonian in the presence of a magnetic field, we represent this Hamiltonian as a matrix with res pect to a two-particle basis composed of one-particle states of a Gaussian basis set. The corresponding generalized eigenvalue problem is solved numerically, providing in the present paper results for vanish ing magnetic quantum number M=0 and even or odd z-parity, each for both singlet and triplet spin symmetry. Total electronic energies of the ground state and the first few excitations in each su bspace as well as their one-electron ionization energies are presented as a function of the magnetic fie ld, and their behaviour is discussed. Energy values for electromagnetic transitions within the M=0 sub space are shown, and a complete table of wavelengths at all the detected stationary points with respect to their field dependence is given, thereby providing a basis for a comparison with observed ab sorption spectra of magnetic white dwarfs.
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"abstract": "We investigate the electronic structure of the helium atom in a magnetic\nfield b etween B=0 and B=100a.u. The atom is treated as a nonrelativistic\nsystem with two interactin g electrons and a fixed nucleus. Scaling laws are\nprovided connecting the fixed-nucleus Hamiltonia n to the one for the case of\nfinite nuclear mass. Respecting the symmetries of the electronic Ham iltonian\nin the presence of a magnetic field, we represent this Hamiltonian as a matrix\nwith res pect to a two-particle basis composed of one-particle states of a\nGaussian basis set. The corresponding generalized eigenvalue problem is solved\nnumerically, providing in the present paper results for vanish ing magnetic\nquantum number M=0 and even or odd z-parity, each for both singlet and triplet\nspin symmetry. Total electronic energies of the ground state and the first few\nexcitations in each su bspace as well as their one-electron ionization energies\nare presented as a function of the magnetic fie ld, and their behaviour is\ndiscussed. Energy values for electromagnetic transitions within the M=0 sub\nspace are shown, and a complete table of wavelengths at all the detected\nstationary points with respect to their field dependence is given, thereby\nproviding a basis for a comparison with observed ab sorption spectra of\nmagnetic white dwarfs.",
"arxiv_id": "physics/9902059",
"authors": [
"W. Becken",
"P. Schmelcher",
"F. K. Diakonos"
],
"categories": [
"physics.atom-ph",
"physics.comp-ph"
],
"doi": "10.1088/0953-4075/32/6/018",
"title": "The helium atom in a strong magnetic field",
"url": "https://arxiv.org/abs/physics/9902059"
},
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