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Analytic approximations to the ground-state energy of closed-shell quantum dots (number of electrons from 2 to 210) are presented in the form of two-point Pade approximants. These Pade approximants are constructed from the small- and…

Condensed Matter · Physics 2009-10-30 A. Gonzalez , B. Partoens , F. M. Peeters

A new type of basis functions is proposed to describe a two-electron continuum which arises as a final state in electron-impact ionization and double photoionization of atomic systems. We name these functions, which are calculated in terms…

Quantum Physics · Physics 2015-03-13 A. S. Zaytsev , L. U. Ancarani , S. A. Zaytsev

This dissertation presents the first theoretical investigation of the Lamb shift in a light-front hamiltonian approach: the dominant part of the splitting between the 2S(1/2) and 2P(1/2) energy levels in hydrogen is calculated. Also…

High Energy Physics - Phenomenology · Physics 2009-09-25 Billy D. Jones

We consider finite discrete systems consisting of two different atomic types and investigate ground-state configurations for configurational energies featuring two-body short-ranged particle interactions. The atomic potentials favor some…

Mesoscale and Nanoscale Physics · Physics 2019-04-15 Manuel Friedrich , Leonard Kreutz

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

A new approach for describing the effective electronic states of "atoms in compounds" to study the properties of molecules and condensed matter which are circumscribed by the operators heavily concentrated in atomic cores is proposed. Among…

Chemical Physics · Physics 2014-12-02 Anatoly V. Titov , Yuriy V. Lomachuk , Leonid V. Skripnikov

A review of methods for finding general expressions for matrix elements (non-diagonal with respect to configurations included) of any one- and two-particle operator for an arbitrary number of shells in an atomic configuration is given.…

Atomic Physics · Physics 2007-05-23 G. Gaigalas

Computing many-body ground state energies and resolving electronic structure calculations are fundamental problems for fields such as quantum chemistry or condensed matter. Several quantum computing algorithms that address these problems…

Quantum Physics · Physics 2023-01-12 Karen J. Morenz Korol , Kenny Choo , Antonio Mezzacapo

The ground state of an homogeneous electron gas is a paradigmatic state that has been used to model and predict the electronic structure of matter at equilibrium for nearly a century. For half a century, it has been successfully used to…

Chemical Physics · Physics 2024-06-11 Tim Gould , Stefano Pittalis

A trial wave function for two-dimensional quantum dot helium in an arbitrary perpendicular magnetic field (a system of two interacting electrons in a two-dimensional parabolic confinement potential) is introduced. A key ingredient of this…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Orion Ciftja , M. Golam Faruk

We report here oscillator strengths, transition rates, branching ratios and lifetimes due to allowed transitions in potassium (K) atom. We evaluate electric dipole (E1) amplitudes using an all order relativistic many-body perturbation…

Atomic Physics · Physics 2014-01-03 D. K. Nandy , Yashpal Singh , B. P. Shah , B. K. Sahoo

This review describes the physics of spins in quantum dots containing one or two electrons, from an experimentalist's viewpoint. Various methods for extracting spin properties from experiment are presented, restricted exclusively to…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 R. Hanson , L. P. Kouwenhoven , J. R. Petta , S. Tarucha , L. M. K. Vandersypen

We define the state of minimum energy while the expectation values of the field operators and their time derivatives in a determined moment in such a state are constrained. As an axiom, we consider such a state as the background of the…

High Energy Physics - Theory · Physics 2023-05-16 Amin Akhavan

An electron within a mesoscopic (quantum-coherent) spintronic structure is described by a single wave function which, in the presence of both charge scattering and spin-orbit coupling, encodes an information about {\em entanglement} of its…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Branislav K. Nikolic

The ground state structure of few-electron concentric double quantum rings is investigated within the local spin density approximation. Signatures of inter-ring coupling in the addition energy spectrum are identified and discussed. We show…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 J. I. Climente , J. Planelles , M. Barranco , F. Malet , M. Pi

An accurate long-range {\em ab initio} potential energy surface has been calculated for the ground state ${}^2A'$ lithium trimer in the frozen diatom approximation using all electron RCCSD(T). The {\em ab initio} energies are corrected for…

Chemical Physics · Physics 2015-05-28 Jason N. Byrd , John A. Montgomery, , H. Harvey Michels , Robin Côté

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

Following the ideas behind the Feynman approach, a variational wave function is proposed for the Fr\"ohlich model. It is shown that it provides, for any value of the electron-phonon coupling constant, an estimate of the polaron ground state…

Strongly Correlated Electrons · Physics 2009-11-10 G. De Filippis , V. Cataudella , V. Marigliano Ramaglia , C. A. Perroni , D. Bercioux

The interaction of a single-photon wave packet with an initially excited two-level atom in free space is studied in semiclassical and quantum approaches. It is shown that the final state of the field does not contain doubly occupied modes.…

Quantum Physics · Physics 2013-05-30 P. V. Elyutin

Within the "lowest Landau level approximation", we develop a method to find the ground state of a 2d system of interacting particles confined by a parabolic potential.

Strongly Correlated Electrons · Physics 2009-11-07 M. S. Hussein , O. K. Vorov