Theoretical complex Stark energies of lithium by a complex scaling plus the B-spline approach

Abstract

The B-spline-based coordinate rotation method plus the model potential approach is applied to investigate the complex energies of low-lying resonances of the lithium atom in an electric field. Our results are compared with two recent calculations by a state-specific complex eigenvalue Schrödinger equation (CESE) (Themelis and Nicolaides 2001

Weak-field asymptotic theory of tunneling ionization in many-electron atomic and molecular systems

“…Our calculations confirm the results of Ref. [79]. For example, for the weakest field F = 0.0055 considered there, the complex energy eigenvalues obtained in the different calculations are −0.200 619 70 − i0.745 × 10 −8 [78] and −0.200 522 99 − i0.38 × 10 −9 [79] and the present result is −0.200 619 759 − i0.378 44 × 10 −9 .…”

“…5. There exist earlier calculations for this potential by the complex absorbing potential method [78] and B-spline approach [79]. The ionization rates obtained in these calculations are in close agreement with each other at F = 0.015, but rapidly diverge at weaker fields.…”

“…[78] works well for the real part of the energy, but fails at weak fields for the the imaginary part, while the approach of Ref. [79] is not so accurate for the energy, but works much better for the ionization rate. As seen from Fig.…”

Спектроскопія Багатоелектронного Атома В Dc Електричному Полі: Модифікований Метод Операторної Теорії Збурень Для Опису Штаркiвських Резонансів

“…Sahoo and Ho [45] carried out the calculation the Stark resonances energies and widths in the lithium atom on the basis of the complex absorbing potential (CAP) formalism. Jianguo Rao et al and Hui-Yan Meng et al [40] have presented the B-spline-based coordinate rotation method plus the model potential approach and applied it to investigate the complex energies of low-lying resonances of the hydrogen and lithium atoms in an electric field.…”

Thermal Photoionization of the Rydberg Atoms by the Blackbody Radiation: New Relativistic Approach

“…In fact this is a beginning of a new epoch in the atomic physics with external electromagnetic field. It has stimulated a great number of papers on the ad and dc Stark effect [5][6][7][8][9][10][11][12][13][14][15][16]. An especial interest attracts a case of the strong external field.…”