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The Bethe-Salpeter equation (BSE) is currently the state of the art in the description of neutral electron excitations in both solids and large finite systems. It is capable of accurately treating charge-transfer excitations that present…

We investigate the electromagnetic properties of the deuteron such as the charge and magnetic form factors by solving the Bethe-Salpeter equation (BSE) with the separable ansatz. In solving the deuteron bound state solution to the BSE, we…

Nuclear Theory · Physics 2007-05-25 Y. Manabe , A. Hosaka , H. Toki

The Bethe-Salpeter equation (BSE) that results from the GW approximation to the self-energy is a frequency-dependent (nonlinear) eigenvalue problem due to the dynamically screened Coulomb interaction between electrons and holes. The…

Materials Science · Physics 2022-02-16 Sylvia J. Bintrim , Timothy C. Berkelbach

Bethe-Salpeter equation is solved for bound state composed of two fermions mediated by pion exchange force of the pseudovector coupling. Expanding the amplitude by gamma matrices the one-dimensional integral equation is derived. It…

Nuclear Theory · Physics 2013-06-20 Susumu Kinpara

Recent developments of the covariant Bethe-Salpeter (BS) approach with the use of the separable interaction for the deuteron are reviewed. It is shown that the BS formalism allows a covariant description of various electromagnetic reactions…

Nuclear Theory · Physics 2011-07-19 S. G. Bondarenko , V. V. Burov , A. V. Molochkov , G. I. Smirnov , H. Toki

The problem of calculating of the mass spectrum of the two-body Bethe-Salpeter equation is studied with no reduction to the three-dimensional ("quasipotential") equation. The method to find the ground state and excited states for a channel…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. Yu. Umnikov , F. C. Khanna

The two-fermion bound system is an attractive subject of atomic and sub-atomic physics. Despite these systems are rather simple the study of two-particle bound states is challenging and still remains a source of progress in quantum theory.…

Nuclear Theory · Physics 2007-05-23 S. M. Dorkin , S. S. Semikh , M. Beyer , L. P. Kaptari

The Bethe-Salpeter equation (BSE) is the key equation in many-body perturbation theory based on Green's functions to access response properties. Within the $GW$ approximation to the exchange-correlation kernel, the BSE has been successfully…

Chemical Physics · Physics 2023-02-15 Roberto Orlando , Pina Romaniello , Pierre-François Loos

The Bethe-Salpeter equation is a non-perturbative, relativistic and covariant description of two-body bound states. We derive the classical Bethe-Salpeter equation for two massive point particles (with or without spin) in a bound…

High Energy Physics - Theory · Physics 2024-01-23 Tim Adamo , Riccardo Gonzo

The Bethe-Salpeter equation (BSE) can provide an accurate description of low-energy optical spectra of insulating crystals - even when excitonic effects are important. However, due to high computational costs it is only possible to include…

We use quantum electrodynamics and the Bethe-Salpeter equation to calculate the bound state energies for a two-particle system comprised of a spin-0 and spin-1/2 particle. We generalize our treatment to include the finite size of the…

Atomic Physics · Physics 2015-05-27 David Owen , Roger Barrett

The Bethe-Salpeter equation (BSE) formalism is steadily asserting itself as a new efficient and accurate tool in the ensemble of computational methods available to chemists in order to predict optical excitations in molecular systems. In…

Chemical Physics · Physics 2020-08-26 Xavier Blase , Ivan Duchemin , Denis Jacquemin , Pierre-François Loos

The Bethe-Salpeter Equation (BSE) is the workhorse method to study excitons in materials. The BSE Hamiltonian size, which depends on how many valence-to-conduction band transitions are considered, needs to be chosen to be sufficiently large…

Materials Science · Physics 2025-10-20 Rafael R. Del Grande , David A. Strubbe

Baryons as relativistic bound states in 3-quark correlations are described by an effective Bethe-Salpeter equation when irreducible 3-quark interactions are neglected and separable 2-quark correlations are assumed. We present an efficient…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Oettel , L. von Smekal , R. Alkofer

Within the formalism of relativistic quantum field theory an adequate framework for the description of two-particle bound states, such as, for instance, all conventional (i.e., non-exotic) mesons, is provided by the Poincar\'e-covariant…

High Energy Physics - Phenomenology · Physics 2023-01-11 Wolfgang Lucha

The Bethe-Salpeter Equation (BSE) can be applied to compute from first-principles optical spectra that include the effects of screened electron-hole interactions. As input, BSE calculations require single-particle states, quasiparticle…

Materials Science · Physics 2020-01-01 Joshua Elliott , Nicola Colonna , Margherita Marsili , Nicola Marzari , Paolo Umari

The $GW$-Bethe-Salpeter Equation (BSE) method is promising for calculating the low-lying excited states of molecular systems. So far, it has only been applied to rather small molecules, and in the commonly implemented diagonal…

Chemical Physics · Physics 2022-08-10 Arno Förster , Lucas Visscher

The Bethe-Salpeter equation for two massive scalar particles interacting by scalar massless exchange has solutions of two types, which differ from each other by their behavior in the non-relativistic limit: the normal solutions which turn…

High Energy Physics - Phenomenology · Physics 2020-01-03 V. A. Karmanov , J. Carbonell , H. Sazdjian

It is known that in the ladder approximation the relativistic two-fermion bound-state equation of Bethe and Salpeter has solutions corresponding to the binding energy equal to the total mass of the particles. The study of these massless…

High Energy Physics - Theory · Physics 2010-02-04 A. I. Agafonov

In the heavy quark limit, a doubly heavy baryon is regarded as composed of a heavy diquark and a light quark. We establish the Bethe-Salpeter (BS) equations for the heavy diquarks and the doubly heavy baryons, respectively, to leading order…

High Energy Physics - Phenomenology · Physics 2011-03-22 M. -H. Weng , X. -H. Guo , A. W. Thomas
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