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We introduced some contact potentials that can be written as a linear combination of the Dirac delta and its first derivative, the $\delta$-$\delta'$ interaction. After a simple general presentation in one dimension, we briefly discuss a…

Accurate calculations of the binding energies, the hyperfine splitting, the bound-electron g-factor, and the parity nonconservation effects in heavy few-electron ions are considered. The calculations include the relativistic, quantum…

We study the response of the nucleon, as a system of three bound (constituent) non relativistic quarks, to external (quasi static) electric and magnetic fields. The approach, based on a sum rule technique, is applied to a large class of two…

Nuclear Theory · Physics 2009-10-31 Elvira Biasioli , Marco Traini , Renzo Leonardi

The ground states of N-electron parabolic quantum dots in the presence of a perpendicular magnetic field are investigated. Rigorous lower bounds to the ground-state energies are obtained. It is shown that our lower bounds agree well with…

Condensed Matter · Physics 2009-11-07 Yeong E. Kim , Alexander L. Zubarev

A description of electron-phonon coupling at a defect or impurity is essential to characterizing and harnessing its functionality for a particular application. Electron-phonon coupling limits the amount of useful light produced by a…

Materials Science · Physics 2026-04-21 Mark E. Turiansky , John L. Lyons

The BCS theory has been extended by us to the strong-coupling regime where carriers are small lattice polarons and bipolarons. Here I review the multi-polaron strong-coupling theory of superconductivity. Attractive electron correlations,…

Superconductivity · Physics 2008-05-23 A. S. Alexandrov

The ground-state energy, the addition energies and the optical absorption spectra are derived for interacting polarons in parabolic quantum dots in three and two dimensions. A path integral formalism for identical particles is used in order…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. N. Klimin , V. M. Fomin , F. Brosens , J. T. Devreese

We study polarons in the one-dimensional Bond-Peierls electron-phonon model, in which phonons on bonds of a lattice modulate the hopping of electrons between lattice sites, and contrast the results to those known for the Breathing-Mode…

Strongly Correlated Electrons · Physics 2021-11-24 Matthew R. Carbone , Andrew J. Millis , David R. Reichman , John Sous

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

For systems of $N$ charged fermions (e.g. electrons) interacting with longitudinal optical quantized lattice vibrations of a polar crystal we derive upper and lower bounds on the minimal energy within the model of H. Fr\"ohlich. The only…

Mathematical Physics · Physics 2015-05-13 Marcel Griesemer , Jacob Schach Møller

The impact of positivity constraints on the polarized parton densities has been studied. Special attention has been paid to the role of positivity constraints in determining the polarized strange quark and gluon densities, which are not…

High Energy Physics - Phenomenology · Physics 2015-06-25 Elliot Leader , Aleksander V. Sidorov , Dimiter B. Stamenov

The single-particle spectral function for an incompressible fractional quantum Hall state in the presence of a scalar short-ranged attractive impurity potential is calculated via exact diagonalization within the spherical geometry. In…

Strongly Correlated Electrons · Physics 2015-06-17 Kelly R. Patton , Michael R. Geller

The properties of impurity immersed in the dilute $D$-dimensional Bose gas at temperatures close to the second-order phase transition point are considered. Particularly by means of the $1/N$-expansion we calculated the leading-order polaron…

Quantum Gases · Physics 2018-05-09 Volodymyr Pastukhov

Electrons and holes on semiconducting nanotubes immersed in sluggish polar media can undergo self-localization into polaronic states. We evaluate the binding energy $\bpol$ of adiabatic Fr\"{o}hlich-Pekar polarons confined to a cylindrical…

Other Condensed Matter · Physics 2007-05-23 Yu. N. Gartstein , T. D. Bustamante , S. Ortega Castillo

We theoretically investigate the quasiparticle (polaron) properties of an impurity immersing in a Bose-Einstein condensate with equal Rashba and Dresselhaus spin-orbit coupling at zero temperature. In the presence of spin-orbit coupling,…

Quantum Gases · Physics 2019-11-27 Jia Wang , Xia-Ji Liu , Hui Hu

Electromagnetic polarizabilities are important parameters for understanding the interaction between photons and hadrons. For pions these quantities are poorly constrained experimentally since they can only be measured indirectly. New…

High Energy Physics - Lattice · Physics 2016-02-17 Andrei Alexandru , Michael Lujan , Walter Freeman , Frank Lee

The crystal lattice of a complex compound may contain a subsystem of ions with each one possessing two close equilibrium positions (double-well structure). For example, the oxygen ions in the cuprates form such a subsystem. In such a…

Superconductivity · Physics 2009-10-14 Vladimir Kresin

A first attempt to understand hadron dynamics at low energies in terms of the fundamental quark and gluon degrees of freedom incorporates the effects of the gluonic field into a potential depending only on the spatial positions of the…

High Energy Physics - Phenomenology · Physics 2016-09-01 J. T. A. Lang , J. E. Paton , A. M. Green

We derive the energy levels of a circular Quantum Dot (QD) under a transverse magnetic field, incorporating the Ben-Daniel Duke boundary condition (BDD). The parameters in our model are the confinement barrier height, the size of the QD,…

Mesoscale and Nanoscale Physics · Physics 2020-09-21 Sriram Gopalakrishnan , Sayak Biswas , Shivam Handa

We discuss the extraction of the electromagnetic and spin polarisabilities of nucleons from lattice QCD. We show that the external field method can be used to measure all the electromagnetic and spin polarisabilities including those of…

High Energy Physics - Lattice · Physics 2009-11-11 W. Detmold , B. C. Tiburzi , A. Walker-Loud
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