Geodesic
Bound States in Supercritical Fields and the Generalized Quantum Dynamics
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 1, pp. 74-81

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The problem of the bound states in supercritical fields is investigated. A solution of the generalized dynamical equation is obtained, which determines the energy distribution of the electronic bound state $1s_{1/2}$, which is imbedded in the lower continuum, up to accuracy of $O((Z-Z_\mathrm{cr})/Z_\mathrm{cr})$, where $Z$ stays for the whole nuclear charge and $Z_\mathrm{cr}$ is the critical charge.
Keywords: superheavy nuclei, electronic bound states, unstable vacuum. 
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     author = {R. Kh. Gainutdinov and A. A. Mutygullina and A. S. Petrova},
     title = {Bound {States} in {Supercritical} {Fields} and the {Generalized} {Quantum} {Dynamics}},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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     url = {http://geodesic.mathdoc.fr/item/UZKU_2009_151_1_a9/}
}
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R. Kh. Gainutdinov; A. A. Mutygullina; A. S. Petrova. Bound States in Supercritical Fields and the Generalized Quantum Dynamics. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 1, pp. 74-81. http://geodesic.mathdoc.fr/item/UZKU_2009_151_1_a9/