Spectrum of neutral helium in strong magnetic fields

Jones, M. D.; Ortíz, Gerardo; Ceperley, David M.

doi:10.1103/physreva.59.2875

Cited by 51 publications

(55 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…have not been present in the literature so far. We observe that our energies are variationally lower than any values in the literature apart from only a few exceptions with respect to the energies computed by Jones et al [13]. However, one must take into account that the released-phase quantum Monte Carlo method performed by Jones et al leads to statistical error bars (see the corresponding numbers in parentheses in table 3) such that none of those energies is significantly stronger bound than our results.…”

Section: Results For M = −1 and Even Z-paritycontrasting

confidence: 53%

See 1 more Smart Citation

Non-zero angular momentum states of the helium atom in a strong magnetic field

Becken¹,

Schmelcher²

2000

J. Phys. B: At. Mol. Opt. Phys.

View full text Add to dashboard Cite

The electronic structure of the helium atom in the magnetic field regime B = 0−100a.u. is investigated, using a full configuration interaction approach which is based on a nonlinearly optimized anisotropic Gaussian basis set of one-particle functions. The corresponding generalized eigenvalue problem is solved for the magnetic quantum number M = −1 and for both even and odd z-parity as well as singlet and triplet spin symmetry. Accurate total electronic energies of the ground state and the first four excitations in each subspace as well as their one-electron ionization energies are presented as a function of the magnetic field. Additionally we present energies for electromagnetic transitions within the M = −1 subspace and between the M = −1 subspace and the M = 0 subspace treated in a previous work. A complete table of wavelengths and field strengths for the detected stationary points is given.

show abstract

Section: Results For M = −1 and Even Z-paritycontrasting

confidence: 53%

“…For the case of triplet spin symmetry, Jones et al [13] very recently used a released-phase quantum Monte…”

Section: Introductionmentioning

confidence: 99%

Non-zero angular momentum states of the helium atom in a strong magnetic field

Becken¹,

Schmelcher²

2000

J. Phys. B: At. Mol. Opt. Phys.

View full text Add to dashboard Cite

show abstract

“…In Tables I and II, we compare our previous results [29] (HFFER) with the ones found by our 2DHFR and FPDQMC methods as well as with one-dimensional HartreeFock results from Jones et al [40], who used an anisotropic basis set, and with those from Thirumalai and Heyl [13], who solved 2D Hartree-Fock equations on a grid. Compared to our previous HFFER method, we achieve large improvements for the energy values, especially at small β Z .…”

Section: B Heliummentioning

confidence: 81%

Atomic ground states in strong magnetic fields: Electron configurations and energy levels

2013

View full text Add to dashboard Cite

Using a combination of a fast two-dimensional-Hartree-Fock-Roothaan method and highly accurate fixed-phase diffusion quantum Monte Carlo simulations, we analyze the electronic structure and calculate the energy of the ground states of atoms with nuclear charges Z = 2-26 in very strong magnetic fields B = 10 7 -5 × 10 8 T, relevant for astrophysical problems, e.g., the thermal emission of strongly magnetized isolated neutron stars.

show abstract

“…At temperatures above ∼ 10000 K, MWDs can also exhibit Zeeman split HeI lines in their spectra (DBp WDs). The two electron problem is much more difficult to treat and calculations for n ≤ 5 singlet and triplet states for m = 0, ±1, ±2, ±3 only became available in the late 90s (Jordan et al 1998;Jones et al 1999;Becken et al 1999;Schmelcher 2000b,a, 2001;Al-Hujaj and Schmelcher 2003). We show in Fig.…”

Section: Beyond Hydrogenmentioning

confidence: 96%

Magnetic White Dwarfs

2015

View full text Add to dashboard Cite

In this paper we review the current status of research on the observational and theoretical characteristics of isolated and binary magnetic white dwarfs (MWDs). Magnetic fields of isolated MWDs are observed to lie in the range 10^3-10^9G. While the upper limit cutoff appears to be real, the lower limit is more difficult to investigate. The incidence of magnetism below a few 10^3G still needs to be established by sensitive spectropolarimetric surveys conducted on 8m class telescopes. Highly magnetic WDs tend to exhibit a complex and non-dipolar field structure with some objects showing the presence of higher order multipoles. There is no evidence that fields of highly magnetic WDs decay over time, which is consistent with the estimated Ohmic decay times scales of ~10^11 yrs. MWDs, as a class, also appear to be more massive than their weakly or non-magnetic counterparts. MWDs are also found in binary systems where they accrete matter from a low-mass donor star. These binaries, called magnetic Cataclysmic Variables (MCVs) and comprise about 20-25\% of all known CVs. Zeeman and cyclotron spectroscopy of MCVs have revealed the presence of fields in the range $\sim 7-230$\,MG. Complex field geometries have been inferred in the high field MCVs (the polars) whilst magnetic field strength and structure in the lower field group (intermediate polars, IPs) are much harder to establish. The origin of fields in MWDs is still being debated. While the fossil field hypothesis remains an attractive possibility, field generation within the common envelope of a binary system has been gaining momentum, since it would explain the absence of MWDs paired with non-degenerate companions and also the lack of relatively wide pre-MCVs.Comment: 73 pages, 22 figures, 2 large tables. Invited review chapter on Magnetic White Dwarfs to appear in Space Science Reviews, Springe

show abstract

Spectrum of neutral helium in strong magnetic fields

Cited by 51 publications

References 22 publications

Non-zero angular momentum states of the helium atom in a strong magnetic field

Non-zero angular momentum states of the helium atom in a strong magnetic field

Atomic ground states in strong magnetic fields: Electron configurations and energy levels

Magnetic White Dwarfs

Contact Info

Product

Resources

About