Hydrogen Line Shapes in Plasmas with Large Magnetic Fields

Rosato, J.

doi:10.3390/atoms8040074

Cited by 9 publications

(12 citation statements)

References 15 publications

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“…Thus, the primary effect of the diamagnetic term in the Hamiltonian is the creation of the B-well causing the decrease of the number of observable hydrogen lines. Compared to this primary effect, other effects of the diamagnetic term-those discussed in paper [16]-are just minor, secondary outcomes.…”

Section: Details Of the Effectmentioning

confidence: 96%

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Method for Measuring the Pseudomomentum of Hydrogen Atoms by the Number of Observable Hydrogen Lines Controlled by the Diamagnetism

Oks

Angelo

Dalimier

2022

Atoms

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Hydrogen atoms, being subjected to a strong magnetic field, exhibit an additional, delocalized potential well at almost a microscopic distance from the nucleus. We studied the influence of the delocalized states of hydrogen atoms on the number of observable hydrogen lines in strongly magnetized plasmas. We show that, for sufficiently large values of the pseudomomentum K (K being the integral of the motion controlling the separation of the center of mass and the relative motions), this effect dominates other factors potentially influencing the number of observable hydrogen lines in strongly magnetized plasmas. We provide examples for plasma parameters relevant to edge plasmas of contemporary and future tokamaks, as well as for DA white dwarfs. We demonstrate that our results open up an avenue for the experimental determination of the pseudomomentum K. This is the first proposed method for the experimental determination of the pseudomomentum—to the best of our knowledge.

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Section: Details Of the Effectmentioning

confidence: 96%

“…We remind that the atomic unit, in which K min is measured in the left side of Equation ( 15), is the atomic unit of any linear momentum-it is equal to m e |e| 2 /h ≈ 1.99 × 10 −19 g cm/s. (16) Below is the Cardano's solution for the two real roots x 1 and x 2 of the cubic Equation (12):…”

Section: Details Of the Effectmentioning

confidence: 99%

Method for Measuring the Pseudomomentum of Hydrogen Atoms by the Number of Observable Hydrogen Lines Controlled by the Diamagnetism

Oks

Angelo

Dalimier

2022

Atoms

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“…First, the diamagnetic term, or quadratic Zeeman effect (Ruder et al 1994;Rosato 2020), can cause significant blueshifts of the spectral lines. Most line-shape models only include the linear Zeeman effect, which dominates at the low magnetic field strengths common in laboratory plasmas.…”

Section: Physical Requirements For Line Shapes In Highlymentioning

confidence: 99%

A Quantum-mechanical Treatment of Electron Broadening in Strong Magnetic Fields

Gomez

Zammit

Fontes

et al. 2023

ApJ

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Spectral line-shape fitting is an extremely useful tool in determining the gravity of white dwarf stars. This method is so far limited to nonmagnetic white dwarfs largely because the theory of line broadening in high magnetic fields is not as complete as in the nonmagnetic case. Current Stark+Zeeman models treat plasma particles classically and ignore the motion of the nucleus. We develop the formalism for a quantum-mechanical treatment of the perturbing electrons and include the nuclear motion as part of the broadening and explore their relative importance. The conditions we explore are those found in white dwarf and neutron star atmospheres. We find that, contrary to previous studies, the quantized perturbing electrons create more broadening than perturbers on a straight-path trajectory. Additionally, the quantization of the plasma electrons gives rise to resonances away from the line center. The nuclear motion creates an additional electric field, which also leads to an increase in line broadening; however, this effect in neutron star atmospheres is not as large as previously estimated. This suggests that neutron star spectral lines are sensitive to density and that their mass and radius can be obtained from spectral line fitting, which would help constrain the neutron star equation of state.

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“…The effect of a magnetic field on spectral line shapes, with or without an additional electric field, is an important topic of atomic physics (see, for example, the non-exhaustive list of references: [95][96][97][98][99][100][101][102][103][104]), for astrophysical or magnetic-fusion applications, both from the theoretical side and for the interpretation of Z-pinch experiments, for instance.…”

Section: The Spectrum Of the Hydrogen Atom In Electric And Magnetic F...mentioning

confidence: 99%

On Invariant Vectors in the Presence of Electric and Magnetic Fields

Pain

2023

Atoms

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In this non-exhaustive review, we discuss the importance of invariant vectors in atomic physics, such as the Laplace–Runge–Lenz vector, the Redmond vector in the presence of an electric field, the Landau–Avron–Sivardièrevector when the system is subject to a magnetic field, and the supergeneralized Runge–Lenz vector for the two-center problem. The application to the Stark and Zeeman effects are outlined. The existence of constants of motion in the charge-dyon system is also briefly mentioned.

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Hydrogen Line Shapes in Plasmas with Large Magnetic Fields

Cited by 9 publications

References 15 publications

Method for Measuring the Pseudomomentum of Hydrogen Atoms by the Number of Observable Hydrogen Lines Controlled by the Diamagnetism

Method for Measuring the Pseudomomentum of Hydrogen Atoms by the Number of Observable Hydrogen Lines Controlled by the Diamagnetism

A Quantum-mechanical Treatment of Electron Broadening in Strong Magnetic Fields

On Invariant Vectors in the Presence of Electric and Magnetic Fields

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