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We solve the Bethe-Salpeter equation (BSE) for a system of a heavy quark-antiquark pair interacting with a Poincare invariant generalization of screened linear confining potential. In order to get reliable description the Lorentz scalar…

High Energy Physics - Phenomenology · Physics 2013-05-30 Vladimir Sauli

To study the characteristic features of relativistic bound systems, the Bethe-Salpeter equation (BSE) for two equal mass spin 1/2 particles (like the deuteron) is solved in the cm-frame for a covariant separable interaction kernel. For that…

Nuclear Theory · Physics 2007-05-23 Frieder Kleefeld , Manfred Dillig

The Bethe-Salpeter equation for the electron-hole correlation function is the state-of-the-art formalism for optical and core spectroscopy in condensed matter. Solutions of this equation yield the full dielectric response, including both…

Materials Science · Physics 2019-04-12 Christian Vorwerk , Benjamin Aurich , Caterina Cocchi , Claudia Draxl

The Bethe-Salpeter equation is a widely used approach to describe optical excitations in bulk semiconductors. It leads to spectra that are in very good agreement with experiment, but the price to pay for such accuracy is a very high…

In order to realize the significant potential of optical materials such as metal halides, computational techniques which give accurate optical properties are needed, which can work hand-in-hand with experiments to generate high efficiency…

Materials Science · Physics 2021-03-04 Jamie M. Booth , Mike V. Klymenko , Jared H. Cole , Salvy P. Russo

A time-dependent formulation for electron-hole excitations in extended finite systems, based on the Bethe-Salpeter equation (BSE), is developed using a stochastic wave function approach. The time-dependent formulation builds on the…

Materials Science · Physics 2015-02-11 Eran Rabani , Roi Baer , Daniel Neuhauser

The accuracy of one-shot $G_0W_0$ and Bethe-Salpeter equation (BSE) calculations depends strongly on the underlying starting-point eigensystem, which is commonly obtained from a mean-field density-functional approximation. Range-separated…

Chemical Physics · Physics 2026-05-22 Aditi Singh , Subrata Jana , Szymon Śmiga

We study within the many-body Green's function GW and Bethe-Salpeter formalisms the excitation energies of a paradigmatic model dipeptide, focusing on the four lowest-lying local and charge-transfer excitations. Our GW calculations are…

Materials Science · Physics 2015-06-17 Carina Faber , Paul Boulanger , Ivan Duchemin , Claudio Attaccalite , Xavier Blase

Two state-of-the-art computational approaches: quantum Monte Carlo (QMC), based on accurate total energies, and GW with exciton effects (GW-BSE), based on perturbation theory are employed to calculate ionization potentials, electron…

Materials Science · Physics 2009-10-31 Jeffrey C. Grossman , Michael Rohlfing , Lubos Mitas , Steven G. Louie , Marvin L. Cohen

The combination of the many-body Green's function $GW$ approximation and the Bethe-Salpeter equation (BSE) formalism has shown to be a promising alternative to time-dependent density-functional theory (TD-DFT) for computing vertical…

Chemical Physics · Physics 2020-06-05 Pierre-François Loos , Anthony Scemama , Ivan Duchemin , Denis Jacquemin , Xavier Blase

The lowest electronic excitations of benzene and a set of donor-acceptor molecular complexes are calculated for the gas phase and on the Al(111) surface using the many-body Bethe-Salpeter equation (BSE). The energy of the charge-transfer…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 J. M. Garcia-Lastra , K. S. Thygesen

The Bethe ansatz represents an analytical method enabling the exact solution of numerous models in condensed matter physics and statistical mechanics. When a global symmetry is present, the trial wavefunctions of the Bethe ansatz consist of…

Quantum Physics · Physics 2024-05-24 Roberto Ruiz , Alejandro Sopena , Max Hunter Gordon , Germán Sierra , Esperanza López

We apply the algebraic Bethe ansatz technique to the nuclear pairing problem with orbit dependent coupling constants and degenerate single particle energy levels. We find the exact energies and eigenstates. We show that for a given shell,…

Nuclear Theory · Physics 2008-11-26 A. B. Balantekin , J. H. de Jesus , Y. Pehlivan

The original binary-encounter Bethe model of Kim and Eugene Rudd (1994 Phys. Rev. A 50 3954-67) has proven to be an accurate analytical representation of total impact ionisation cross sections of electrons colliding with atoms and…

Atomic Physics · Physics 2026-03-12 Anthony Jeseněk , Alejandro Luque , Nikolai Lehtinen

In this work we propose an accurate first-principle approach to calculate the transient photo--absorption spectrum measured in Pump\&\,Probe experiments. We formulate a condition of {\em adiabaticity} and thoroughly analyze the…

Other Condensed Matter · Physics 2016-07-19 E. Perfetto , D. Sangalli , A. Marini , G. Stefanucci

We show that the inherently large interatomic interactions of a Bose-Einstein condensate (BEC) can enhance the sensitivity of a high precision cold-atom gravimeter beyond the shot-noise limit (SNL). Through detailed numerical simulation, we…

Quantum Physics · Physics 2020-09-07 Stuart S. Szigeti , Samuel P. Nolan , John D. Close , Simon A. Haine

In this review we demonstrate how the algebraic Bethe ansatz is used for the calculation of the energy spectra and form factors (operator matrix elements in the basis of Hamiltonian eigenstates) in exactly solvable quantum systems. As…

Exactly Solvable and Integrable Systems · Physics 2009-11-10 J. Links , H. -Q. Zhou , R. H. McKenzie , M. D. Gould

We study the optical properties of the Ruddlesden-Popper series of iridates Sr$_{n+1}$Ir$_n$O$_{3n+1}$ ($n$=1, 2 and $\infty$) by solving the Bethe-Salpeter equation (BSE), where the quasiparticle (QP) energies and screened interactions $W$…

Strongly Correlated Electrons · Physics 2018-08-08 Peitao Liu , Bongjae Kim , Xing-Qiu Chen , D. D. Sarma , Georg Kresse , Cesare Franchini

Various many-body perturbation theory techniques for calculating electron behavior rely on {\it W}, the screened Coulomb interaction. Computing {\it W} requires complete knowledge of the dielectric response of the electronic system, and the…

Materials Science · Physics 2021-06-30 John Vinson , Eric L. Shirley

We study the optical absorption spectra of small Ag_n (n=2,4,6,8) clusters using the Bethe-Salpeter equation (BSE) formalism with a Hamiltonian built from GW quasiparticle energies. Calculations are based on an effective core potential…

Materials Science · Physics 2026-01-16 Xavier Blase , Ivan Duchemin