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Using the multipolar expansion of electrostatic and magnetostatic potential energies, we characterize the long-range interactions between two weakly-bound diatomic molecules, taking as an example the paramagnetic Er$_2$ Feshbach molecules…

Atomic Physics · Physics 2017-04-11 Maxence Lepers , Goulven Quéméner , Eliane Luc-Koenig , Olivier Dulieu

A method for precise calculation of the energy corrections due to second order electric quadrupole interactions, as well as mixed electric quadrupole-vacuum polarization in the framework of the dynamic hyperfine structure in heavy muonic…

Atomic Physics · Physics 2019-04-10 Niklas Michel , Natalia S. Oreshkina

For many physical quantities, theory supplies weak- and strong-coupling expansions of the types $\sum a_n \alpha ^n$ and $ \alpha ^p\sum b_n (\alpha^{-2/q) ^n$, respectively. Either or both of these may have a zero radius of convergence. We…

Quantum Physics · Physics 2009-10-28 H. Kleinert

Bipolaron energies are calculated as a function of wave vector by a variational method of Gurari appropriate for weak or intermediate coupling strengths, for a model with electron-phonon interactions independent of phonon wave vectors and a…

Superconductivity · Physics 2009-11-11 D. M. Eagles , R. M. Quick , B. Schauer

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

The interaction of an electron with a local static charge distribution (e.g., an atom or molecule) is dominated at large distances by the radial 1/r Coulomb potential. The second order effect comes from the non-central electric dipole…

Quantum Physics · Physics 2023-02-08 A. D. Alhaidari , H. Bahlouli

We calculate the electrostatic potential of a periodic lattice of arbitrary extended charges by using the Cartesian multipole formalism. This method allows the separation of the long-range potential from the contact potential (potential on…

Classical Physics · Physics 2014-09-11 G. Vaman

Complexation in symmetric solutions of oppositely charged polyelectrolytes is studied theoretically. We include polyion crosslinking due to formation of thermoreversible ionic pairs. The electrostatic free energy is calculated within the…

Soft Condensed Matter · Physics 2009-11-10 Alexander Kudlay , Alexander V. Ermoshkin , Monica Olvera de la Cruz

In heavy atoms and ions, nuclear structure effects are significantly enhanced due to the overlap of the electron wave functions with the nucleus. This overlap rapidly increases with the nuclear charge $Z$. We study the energy level shifts…

Atomic Physics · Physics 2021-03-17 V. V. Flambaum , I. B. Samsonov , H. B. Tran Tan , A. V. Viatkina

We present a simple interpolation formula using dimensional limits $D=1$ and $D=\infty$ to obtain the $D=3$ ground-state energies of atoms and molecules. For atoms, these limits are linked by first-order perturbation terms of…

Quantum Physics · Physics 2020-08-28 Kumar J. B. Ghosh , Sabre Kais , Dudley R. Herschbach

We study, in the presence of an external electrostatic field, the interatomic interaction between two ground-state atoms coupled with vacuum electromagnetic fluctuations within the dipole coupling approximation based on the perturbation…

Quantum Physics · Physics 2021-04-06 Yongshun Hu , Jiawei Hu , Hongwei Yu

An accurate determination of the electron correlation energy is essential for describing the structure, stability, and function in a wide variety of systems, ranging from gas-phase molecular assemblies to condensed matter and…

Chemical Physics · Physics 2014-03-05 Alberto Ambrosetti , Anthony M. Reilly , Robert A. DiStasio , Alexandre Tkatchenko

We present an extension to the Poisson-Boltzmann model where the dipolar features of solvent molecules are taken explicitly into account. The formulation is derived at mean-field level and can be extended to any order in a systematic…

Soft Condensed Matter · Physics 2012-01-31 Ariel Abrashkin , David Andelman , Henri Orland

Differential cross sections are computed for the title polar molecule using static interaction, exchange forces and correlation-polarisation effects as described in detail in the main text. The dipole effect is also reported via the dipole…

Chemical Physics · Physics 2009-11-13 F. A. Gianturco , T. Stoecklin

Starting from the shell structure in atoms and the significant correlation within electron pairs, we distinguish the exchange-correlation effects between two electrons of opposite spins occupying the same orbital from the average…

Strongly Correlated Electrons · Physics 2018-02-20 Guo-Qiang Hai , Ladir Cândido , Braulio G. A. Brito , François M. Peeters

We consider two-dimensional spin-polarized dipolar Fermi gases confined in a double-layer system and calculate the momentum transfer between the layers as a function of temperature to investigate the transport properties of the system. We…

Quantum Gases · Physics 2024-06-14 B. Renklioglu , Ben Yu-Kuang Hu , M. O. Oktel , B. Tanatar

The one-electron quantum-electrodynamic corrections to the magnetic-dipole transition amplitude between the fine-structure levels (1s^2 2s^2 2p) ^2P_3/2 - ^2P_1/2 in boronlike ions are calculated to all orders in (\alpha Z). The results…

Atomic Physics · Physics 2009-11-11 A. V. Volotka , D. A. Glazov , G. Plunien , V. M. Shabaev , I. I. Tupitsyn

We make a detailed assessment of which form of the dipole operator to use in calculating high order harmonic generation within the framework of the strong field approximation, and look specifically at the role the form plays in the…

Atomic Physics · Physics 2015-05-19 B. B. Augstein , C. Figueira de Morisson Faria

We investigate theoretically the combination of first-order quadrupole-quadrupole and second-order dipole-dipole effects on the long-range electrostatic interactions between a ground-state homonuclear alkali-metal dimer and an excited…

Quantum Physics · Physics 2017-04-19 Maxence Lepers , Olivier Dulieu

We evaluate the amplitude for $\gamma \gamma \rightarrow \pi^0 \pi^0$ to two loops in chiral perturbation theory. The three new counterterms which enter at this order in the low-energy expansion are estimated with resonance saturation. We…

High Energy Physics - Phenomenology · Physics 2011-07-19 S. Bellucci , J. Gasser , M. E. Sainio