1977
DOI: 10.1070/qe1977v007n01abeh008807
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Population inversion of transitions in neon-like ions

Abstract: We formulate a general multi-mode Gaussian operator basis for fermions, to enable a positive phase-space representation of correlated Fermi states. The Gaussian basis extends existing bosonic phase-space methods to Fermi systems and thus allows first-principles dynamical or equilibrium calculations in quantum many-body Fermi systems. We prove the completeness of the basis and derive differential forms for products with one-and two-body operators. Because the basis satisfies fermionic superselection rules, the … Show more

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Cited by 69 publications
(29 citation statements)
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“…These lines arise from the 3l-3l 0 transitions 2p 5 3s-2p 5 3p and 2p 5 3p-2p 5 3d. These 3l-3l 0 transitions in Ne-like ions, which are also observed in N-, O-, and F-like ions, are important to many soft X-ray laser schemes (e.g., Vinogradov, Sobelman, & Yukov 1977). Our basic model includes the ground configuration 2p 6 and the excited configurations 2s 2 2p 5 3l and 2sp 6 3l (l ¼ s, p, d ).…”
Section: O-like Ions (Groundmentioning
confidence: 99%
“…These lines arise from the 3l-3l 0 transitions 2p 5 3s-2p 5 3p and 2p 5 3p-2p 5 3d. These 3l-3l 0 transitions in Ne-like ions, which are also observed in N-, O-, and F-like ions, are important to many soft X-ray laser schemes (e.g., Vinogradov, Sobelman, & Yukov 1977). Our basic model includes the ground configuration 2p 6 and the excited configurations 2s 2 2p 5 3l and 2sp 6 3l (l ¼ s, p, d ).…”
Section: O-like Ions (Groundmentioning
confidence: 99%
“…6, shows that the gain values are slightly increased relatively to the optically thin values. It is due to an increase in the optical thickness of resonance lines from 3d levels which has improved the gain values [34].…”
Section: Resultsmentioning
confidence: 99%
“…As shown in figures (1-6), the relative sublevel populations grow with the electron density and the temperature due to the increase of collisional excitation rates. For a given temperature, in the region of low electron density, the populations of the configuration array 3d 9 4p are smaller than those of the 3d 9 4d levels, this behavior is due to their strong radiative decay; however, in the region of high electron density, the populations become distributed according to Boltzmann distribution because the collisional de-excitation rates exceed the radiative transition rates [35]. The configuration array 3d 9 4d upper laser levels are more populated than the 3d 9 4p lower laser levels in electron collisional excitation.…”
Section: Level Populationmentioning
confidence: 99%