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The ground and some excited states of the Li atom in external uniform magnetic fields are calculated by means of our 2D mesh Hartree-Fock method for field strengths ranging from zero up to 2.35 10^8 T. With increasing field strength the…

Atomic Physics · Physics 2009-10-31 M. V. Ivanov , P. Schmelcher

The ground and a few excited states of the carbon atom in external uniform magnetic fields are calculated by means of our 2D mesh Hartree-Fock method for field strengths ranging from zero up to 2.35 10^9 T. With increasing field strength…

Atomic Physics · Physics 2009-10-31 M. V. Ivanov , P. Schmelcher

The electronic structure of the ground and some excited states of neutral atoms with the nuclear charge numbers $1\leq Z \leq 10$ and their single positive ions are investigated by means of our 2D mesh Hartree-Fock method for strong…

Atomic Physics · Physics 2009-10-31 M. V. Ivanov , P. Schmelcher

We investigate the electronic structure of the beryllium atom subjected to a strong magnetic field in the regime 0 <= gamma <= 10 a.u. The ground as well as many excited states of spin singlet, triplet and quintet multiplicity covering the…

Atomic Physics · Physics 2009-11-10 O. -A. Al-Hujaj , P. Schmelcher

Large-scale relativistic configuration-interaction method combined with many-body perturbation theory is consistently applied to calculations of the energy levels of the ground and inner-L-shell excited states of berylliumlike ions in the…

Bound state properties of the four-electron lithium ion Li$^{-}$ in its ground $2^{2}S-$state and isotope-subsistuted ${}^{6}$Li$^{-}$ and ${}^{7}$Li$^{-}$ ions in their ground $2^1S-$state(s) are determined from the results of accurate,…

Atomic Physics · Physics 2015-07-16 Alexei M. Frolov , David M. Wardlaw

With the consideration of identity principle and atomic shell structure, we calculated the ground state energy of Lithium atom and Beryllium atom based on variational method, which accords quite well with the experimental results.

Atomic Physics · Physics 2025-05-20 Mei-Qin Deng , Ren-Hong Fang

We compute the ground-state binding energy of muonic $^9$Be in two ways: first, the fully perturbative treatment of the nuclear-size effect often employed in light systems, and second, an approach that accounts for the finite-nuclear-size…

Atomic Physics · Physics 2026-03-27 Shikha Rathi , Ulrich D. Jentschura , Paul Indelicato , Ben Ohayon

Ab initio QED calculations of the ground-state binding energies of berylliumlike ions are performed for the wide range of the nuclear charge number: Z=18-96. The calculations are carried out in the framework of the extended Furry picture…

Atomic Physics · Physics 2015-03-11 A. V. Malyshev , A. V. Volotka , D. A. Glazov , I. I. Tupitsyn , V. M. Shabaev , G. Plunien

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…

Astrophysics · Physics 2009-10-31 Wolfgang Becken , Peter Schmelcher

High-precision results are reported for the energy levels of $2{^1S}$ and $2{^1P}$ states of the beryllium atom. Calculations are performed using fully correlated Gaussian basis sets and taking into account the relativistic, quantum…

Atomic Physics · Physics 2018-08-08 Mariusz Puchalski , Krzysztof Pachucki , Jacek Komasa

A detailed study of the low-lying electronic states ${}^1\Si,{}^3\Si,{}^3\Pi,{}^3\De$ of the $\rm{HeH}^+$ molecular ion in parallel to a magnetic field configuration (when $\al$-particle and proton are situated on the same magnetic line) is…

Atomic Physics · Physics 2009-11-13 A. V. Turbiner , N. L. Guevara

Fully numerical mesh solutions of 2D quantum equations of Schroedinger and Hartree-Fock type allow us to work with wavefunctions which possess a very flexible geometry. This flexibility is especially important for calculations of atoms and…

Atomic Physics · Physics 2015-06-26 Mikhail V. Ivanov , Peter Schmelcher

Results of accurate computations of bound states in three- and four-electron atomic systems are discussed. Bound state properties of the four-electron lithium ion Li$^{-}$ in its ground $2^{2}S-$state are determined from the results of…

Atomic and Molecular Clusters · Physics 2016-07-08 Alexei M. Frolov , David M. Wardlaw

In this work we report on ab initio theoretical results for the magnetic field induced 2s2p ^3P_0 - 2s^2 ^1S_0 E1 transition for ions in the beryllium isoelectronic sequence between Z=5 and 92. It has been proposed that the rate of the E1M1…

The electronic structure of the lithium atom in a strong magnetic field 0 <= gamma <= 10 is investigated. Our computational approach is a full configuration interaction method based on a set of anisotropic Gaussian orbitals that is…

Atomic Physics · Physics 2009-11-10 O. -A. Al-Hujaj , P. Schmelcher

The beginning of the application of the method of interacting configurations in the complex number representation to the compound atomic systems has been presented. The spectroscopic characteristics of the Be atom in the problem of the…

Atomic Physics · Physics 2016-08-16 V. M. Simulik , T. M. Zajac , R. V. Tymchyk

This work concerns \emph{ab initio} calculations of the complete potential energy curve and spectroscopic constants for the ground state $X^1\Sigma_g^+$ of the beryllium dimer, Be$_2$. High accuracy and reliability of the results is one of…

This review outlines the main results which show the dual nature of the chemical bond in diatomic beryllium molecule in the ground $X^1\Sigma_g^+$ state. It has been shown that the beryllium atoms are covalently bound at low-lying…

Chemical Physics · Physics 2024-12-30 A. V. Mitin , A. A. Gusev , O. Chuluunbaatar , S. I. Vinitsky , V. L. Derbov , Luong Le Hai

The existence of bound states of the system $(\al,e,e,e)$ in a magnetic field $B$ is studied using the variational method. It is shown that for $B \gtrsim 0.13\,{\rm a.u.}$ this system gets bound with total energy below the one of the…

Atomic Physics · Physics 2019-08-13 A. V. Turbiner , J. C. Lopez Vieyra
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