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We investigate the possibility to calculate the ground-state energy of the atomic systems on a quantum computer. For this purpose we evaluate the lowest binding energy of the moscovium atom with the use of the iterative phase estimation and…

Quantum Physics · Physics 2023-09-26 V. A. Zaytsev , M. E. Groshev , I. A. Maltsev , A. V. Durova , V. M. Shabaev

We calculate the photo-ionization cross-section from the ground state of the helium atom, using the complex rotation method and diagonalization of sparse matrices. This produces directly the positions and widths of the doubly excited 1Po…

chao-dyn · Physics 2009-10-31 Benoit Gremaud , Dominique Delande

A methodology is developed to compute photoionization cross-sections beyond the electric dipole (BED) approximation from response theory, using Gaussian type orbitals and plane waves for the initial and final states, respectively. The…

Atomic Physics · Physics 2019-02-20 Iulia Emilia Brumboiu , Olle Eriksson , Patrick Norman

Extensive variational computations are reported for the ground state energy of the non-relativistic two-electron atom. Several different sets of basis functions were systematically explored, starting with the original scheme of Hylleraas.…

Atomic Physics · Physics 2009-11-07 Charles Schwartz

Ab initio computations of atomic nuclei, based on Hamiltonians from effective field theories of quantum chromodynamics, are now routinely used to predict and describe properties of medium heavy nuclei, and even the heavy nucleus $^{208}$Pb…

Nuclear Theory · Physics 2024-10-02 T. Papenbrock

A simple, seven-parameter trial function is proposed for a description of the ground state of the Lithium atom. It includes both spin functions. Inter-electronic distances appear in exponential form as well as in a pre-exponential factor,…

Atomic Physics · Physics 2015-05-13 Nicolais L. Guevara , Frank E Harris , Alexander V Turbiner

Quantum annealers are an alternative approach to quantum computing which make use of the adiabatic theorem to efficiently find the ground state of a physically realizable Hamiltonian. Such devices are currently commercially available and…

Quantum Physics · Physics 2021-02-24 Justin Copenhaver , Adam Wasserman , Birgit Wehefritz-Kaufmann

The calculation of partial two-photon ionization cross sections in the above-threshold energy region is discussed in the framework of exterior complex scaling. It is shown that with a minor modification of the usual procedure, which is…

Atomic Physics · Physics 2018-08-17 Andrej Mihelič

Accurate quantum mechanics based predictions of property trends are so important for materials design and discovery that even inexpensive approximate methods are valuable. We use the Alchemical Integral Transform (AIT) to study…

Chemical Physics · Physics 2024-09-16 Simon León Krug , O. Anatole von Lilienfeld

Characterizing the correlated behavior of nucleons inside atomic nuclei constitutes a long-standing challenge, both experimentally and theoretically. It has recently been understood that two-particle correlations in the azimuthal…

Nuclear Theory · Physics 2026-03-04 Stavros Bofos , Benjamin Bally , Thomas Duguet , Mikael Frosini

The chemical dynamics scene is the most important application of computer simulation. We show that electrons jump between potential holes of different depths (new molecular orbits, hybrid atomic orbits with different energies) under the…

Quantum Physics · Physics 2023-10-17 Chen Ran , Yuri Ozhigov

The nonrelativistic ionization energy levels of a helium atom are calculated for $S$, $P$, $D$ and $F$ states. The calculations are based on the variational method of "exponential" expansion. The convergence of the calculated energy levels…

Atomic Physics · Physics 2018-10-29 D. T. Aznabaev , A. K. Bekbaev , Vladimir I. Korobov

We determine the influence of a variation of the fundamental ``constants'' on the predicted helium abundance in Big Bang Nucleosynthesis. The analytic estimate is performed in two parts: the first step determines the dependence of the…

Astrophysics · Physics 2008-11-26 Christian M. Mueller , Gregor Schaefer , Christof Wetterich

The essence of atomic structure theory, quantum chemistry, and computational materials science is solving the multi-electron stationary Schr\"odinger equation. The Quantum Monte Carlo-based neural network wave function method has surpassed…

Atomic Physics · Physics 2023-12-27 JinDe Liu , Chenglong Qin , Xi He , Gang Jiang

The non-relativistic interacting electron gas in an external field of positively charged massive cores is dealt with in the scheme of second quantization. Ladder operators that change between stationary states of contiguous energy…

Quantum Physics · Physics 2025-02-27 Miguel Lagos

We present an introduction to the principles behind atomic energy level calculations with Quantum Electrodynamics (QED) and the two-time Green's function method; this method allows one to calculate an effective Hamiltonian that contains all…

Atomic Physics · Physics 2009-11-06 Eric-Olivier Le Bigot , Paul Indelicato

Quantum computing offers the promise of revolutionizing quantum chemistry by enabling the solution of chemical problems for substantially less computational cost. While most demonstrations of quantum computation to date have focused on…

Chemical Physics · Physics 2026-05-13 Alan Bidart , Prateek Vaish , Tilas Kabengele , Yaoqi Pang , Yuan Liu , Brenda M. Rubenstein

An algorithm, based on numerical description of the terms of many-body perturbation theory (Goldstone diagrams), is presented. The algorithm allows the use of the same piece of computer code to evaluate any particular diagram in any…

Atomic Physics · Physics 2015-05-13 V. A. Dzuba

It is shown that the non-relativistic ground state energy of helium-like and lithium-like ions with static nuclei can be interpolated in full physics range of nuclear charges $Z$ with accuracy of not less than 6 decimal digits (d.d.) or 7-8…

Atomic Physics · Physics 2017-11-27 Alexander V. Turbiner , Juan C. Lopez Vieyra , Horacio Olivares Pilon

Ionization energies for the ground state of berylliumlike ions with nuclear charge numbers in the range Z=16-96 are rigorously evaluated. The calculations merge the ab initio QED treatment in the first and second orders of the perturbation…

Atomic Physics · Physics 2015-07-22 A. V. Malyshev , A. V. Volotka , D. A. Glazov , I. I. Tupitsyn , V. M. Shabaev , G. Plunien