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It is demonstrated how all the mechanical equations of classical electrodynamics (CEM) may be derived from only Coulomb's inverse square force law, special relativity and Hamilton's Principle. The instantaneous nature of the Coulomb force…

Classical Physics · Physics 2007-05-23 J. H. Field

We construct the complementary short-range correlation relativistic local-density-approximation functional to be used in relativistic range-separated density-functional theory based on a Dirac-Coulomb Hamiltonian in the no-pair…

Chemical Physics · Physics 2021-05-26 Julien Paquier , Julien Toulouse

We develop the plasmon-pole approximation for an interacting electron gas confined in a semiconductor quantum wire. We argue that the plasmon-pole approximation becomes a more accurate approach in quantum wire systems than in higher…

Condensed Matter · Physics 2009-10-28 S. Das Sarma , E. H. Hwang , Lian Zheng

Doubly polar molecules, possessing an electric dipole moment and a magnetic dipole moment, can strongly couple to both an external electric field and a magnetic field, providing unique opportunities to exert full control of the system…

Atomic Physics · Physics 2019-11-06 Hui Li , Goulven Quéméner , Jean-François Wyart , Olivier Dulieu , Maxence Lepers

We carry out first-principle calculations of scalar and tensor components of the static electric dipole polarizabilities of six low-lying states of lithium (Li), sodium (Na) and potassium (K) alkali atoms in the linear response approach.…

Atomic Physics · Physics 2025-04-22 A. Chakraborty , B. K. Sahoo

The hydrogen atom with the Coulomb interaction is one of the exactly solvable non-relativistic quantum models. Unlike many other exactly solvable models it describes a real physical object providing the formulas for energy levels and…

Quantum Physics · Physics 2013-08-02 Ruslan Sharipov

In local effective potential theories of electronic structure, the electron correlations due to the Pauli exclusion principle, Coulomb repulsion, and correlation-kinetic effects, are all incorporated in the local electron-interaction…

Materials Science · Physics 2007-05-23 Zhixin Qian , Viraht Sahni

The van der Waals coefficients for the alkali-metal atoms from Na to Fr interacting in their ground states, are calculated using relativistic ab initio methods. The accuracy of the calculations is estimated by also evaluating atomic static…

Atomic Physics · Physics 2007-05-23 A. Derevianko , W. R. Johnson , M. S. Safronova , J. F. Babb

We construct a folding potential between the $\alpha$ and $\Lambda$ particles based on underlying nucleon-nucleon and hyperon-nucleon interactions. Starting from a phenomenological $\Lambda$-N potential and a Gaussian form of the…

Nuclear Theory · Physics 2022-08-09 Htun Htun Oo , Hiroyuki Kamada

When atoms and molecules are ionized by laser pulses of finite duration and increasingly high intensities, the validity of the much used dipole approximation, in which the spatial dependence and magnetic component of the external field are…

We present an explicit analytic calculation of the energy-level shift of an atom in front of a non-dispersive and non-dissipative dielectric slab. We work with the fully quantized electromagnetic field, taking retardation into account. We…

Quantum Physics · Physics 2009-12-07 Ana Maria Contreras Reyes , Claudia Eberlein

Polymer self-consistent field theory techniques are used to find radial electron densities and total binding energies for isolated atoms. Quantum particles are modelled as Gaussian threads with ring-polymer architecture in a four…

Quantum Physics · Physics 2022-11-30 Russell B. Thompson

We study the energy of quasi-particles in graphene within the Hartree-Fock approximation. The quasi-particles are confined via an inhomogeneous magnetic field and interact via the Coulomb potential. We show that the associated functional…

Mesoscale and Nanoscale Physics · Physics 2010-05-07 R. Egger , A. De Martino , H. Siedentop , E. Stockmeyer

We present analytic estimates for the energy levels of N electrons (N = 2 - 5) in a two-dimensional parabolic quantum dot. A magnetic field is applied perpendicularly to the confinement plane. The relevant scaled energy is shown to be a…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Augusto Gonzalez

We study the discrete spectrum of the Hamiltonian H = -Delta + V(r) for the Coulomb plus power-law potential V(r)=-1/r+ beta sgn(q)r^q, where beta > 0, q > -2 and q \ne 0. We show by envelope theory that the discrete eigenvalues E_{n\ell}…

Mathematical Physics · Physics 2016-09-07 Haken Ciftci , Richard L. Hall , Qutaibeh D. Katatbeh

We present electric dipole polarizabilities ($\alpha_d$) of the alkali-metal negative ions, from H$^-$ to Fr$^-$, by employing four-component relativistic many-body methods. Differences in the results are shown by considering Dirac-Coulomb…

Atomic Physics · Physics 2021-01-07 B. K. Sahoo

We consider the energy shift for an atom close to a non-magnetic body with a magnetic moment coupled to a quantized magnetic field. The corresponding repulsive Casimir-Polder force is obtained for a perfect conductor, a metal, a dielectric…

Quantum Physics · Physics 2009-09-05 Bo-Sture Skagerstam , Per Kristian Rekdal , Asle Heide Vaskinn

We compute the nonconservative electric dipole forces between two atoms, one of which is initially excited. These forces derive from the time variation of the longitudinal electromagnetic momentum. In contrast to the conservative…

Quantum Physics · Physics 2025-10-10 Julio Sánchez-Cánovas , Manuel Donaire

We propose a new type of gauge-invariant expansion of the ionization probability amplitudes of atoms by short pulses of electromagnetic radiation. Contrary to previous gauge-invariant approaches to this problem it does not require different…

Quantum Physics · Physics 2015-05-19 A. Bechler , M. Ślȩczka

Easy physics-inspired approximations of the total and binding energies for the ${\rm H}$ atom and for the molecular ions $${\rm H}_2^{(+)} ({\rm ppe}), {\rm H}_3^{(2+)} ({\rm pppe}), ({\rm HeH})^{++} (\al {\rm p e}), {\rm He}_2^{(3+)} (\al…

Atomic Physics · Physics 2007-05-23 A. V. Turbiner , A. B. Kaidalov , J. C. Lopez Vieyra
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