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We obtain analytic expressions for the third-order corrections due to the strong interaction Coulomb potential to the S-wave Green function, energy levels and wave functions at the origin for arbitrary principal quantum number n. Together…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Beneke , Y. Kiyo , K. Schuller

This paper is dedicated to the study of the existence and the properties of electron-electron bound states in QED$_3$. A detailed analysis of the infrared structure of the perturbative series of the theory is presented. We start by…

High Energy Physics - Theory · Physics 2019-08-15 H. O. Girotti , M. Gomes , J. L. deLyra , R. S. Mendes , J. R. S. Nascimento , A. J. da Silva

High-lying Rydberg states of Mott-Wannier excitons are receiving considerable interest due to the possibility of adding long-range interactions to the physics of exciton-polaritons. Here, we study Rydberg excitation in bulk synthetic…

Highly excited atoms with an electron moved into a level with large principal quantum number are fascinating hydrogen-like objects. The giant extension of these Rydberg atoms leads to huge interaction effects. Monitoring these interactions…

Mesoscale and Nanoscale Physics · Physics 2014-11-13 Tomasz Kazimierczuk , Dietmar Fröhlich , Stefan Scheel , Heinrich Stolz , Manfred Bayer

We study a superconductor Josephson junction with a Bogoliubov Fermi surface, employing McMillan's Green's function technique. The low-energy degrees of freedom are described by spinless fermions (bogolons), where the characteristic feature…

Superconductivity · Physics 2025-10-07 Tatsuya Miki , Yukio Tanaka , Shun Tamura , Shintaro Hoshino

We introduce a representation of electron operators as a product of a spin-carry ing fermion and of a phase variable dual to the total charge (slave quantum rotor). Based on this representation, a new method is proposed for solving…

Strongly Correlated Electrons · Physics 2009-11-07 Serge Florens , Antoine Georges

Total energy, binding energy, recombination rate (of the electron hole pair) for an exciton (X) bound in a parabolic two dimensional quantum dot by a donor impurity located on the z axis at a distance d from the dot plane, are calculated by…

Materials Science · Physics 2009-11-07 S. Baskoutas , W. Schommers , A. F. Terzis , V. Kapaklis , M. Rieth , C. Politis

The electromagnetic Green's function is a crucial ingredient for the theoretical study of modern photonic quantum devices, but is often difficult or even impossible to calculate directly. We present a numerically efficient framework for…

Mesoscale and Nanoscale Physics · Physics 2026-04-15 Robert Meiners Fuchs , Juanjuan Ren , Stephen Hughes , Marten Richter

Singular Green operators G appear typically as boundary correction terms in resolvents for elliptic boundary value problems on a domain \Omega \subset R^n, and more generally they appear in the calculus of pseudodifferential boundary…

Analysis of PDEs · Mathematics 2014-11-04 Gerd Grubb

We present a method to calculate the exciton spectra of all direct semiconductors with a complex valence band structure. The Schr\"odinger equation is solved using a complete basis set with Coulomb Sturmian functions. This method also…

Materials Science · Physics 2016-05-09 Frank Schweiner , Jörg Main , Matthias Feldmaier , Günter Wunner , Christoph Uihlein

In accord with Nambu-Goldstone theorem spontaneous breaking of a global continuous symmetry of the system by a mean-field order parameter causes appearance of massless Goldstone bosons, called also gapless Goldstone modes. It is…

Strongly Correlated Electrons · Physics 2013-07-15 Sergei I. Mukhin

We extend our approach of asymptotic parametrix construction for Hamiltonian operators from conical to edge-type singularities which is applicable to coalescence points of two particles of the helium atom and related two electron systems…

Mathematical Physics · Physics 2018-01-24 Heinz-Juergen Flad , Gohar Flad-Harutyunyan , Bert-Wolfgang Schulze

A relativistic Green's function approach to parity-violating quasielastic electron scattering is presented. The components of the hadron tensor are expressed in terms of the single particle Green's function, which is expanded in terms of…

Nuclear Theory · Physics 2009-11-11 Andrea Meucci , Carlotta Giusti , Franco Davide Pacati

We theoretically study the quasiparticle resonance states around a nonmagnetic impurity in cuprate superconductors based on t-t'-J-U model. The purpose of introducing the Coulomb repulsive interaction U is to partially impose the double…

Superconductivity · Physics 2015-06-18 Bin Liu , Xu Yan , Feng Yuan

Odd-frequency superconductivity is an exotic superconducting state in which the symmetry of the gap function is odd in frequency. Here we show that an inherent odd-frequency mode emerges dynamically under application of a Lorentz…

Superconductivity · Physics 2023-08-09 Patrick J. Wong , Alexander V. Balatsky

We theoretically study the effects of spin-orbit interactions on symmetry of a Cooper pair in a spin-singlet d-wave superconductor in two-dimension. The pairing symmetry is analyzed in terms of the anomalous Green's function which is…

Superconductivity · Physics 2021-03-24 Jaechul Lee , Satoshi Ikegaya , Yasuhiro Asano

If a quantum mechanical Hamiltonian has an infinite symmetric tridiagonal (Jacobi) matrix form in some discrete Hilbert-space basis representation, then its Green's operator can be constructed in terms of a continued fraction. As an…

Nuclear Theory · Physics 2009-10-31 B. Kónya , G. Lévai , Z. Papp

The main results of this article provide asymptotics at infinity of the Green's functions near and at the spectral gap edges for "generic" periodic second-order elliptic operators on noncompact Riemannian co-compact coverings with abelian…

Mathematical Physics · Physics 2017-10-31 Minh Kha

Motivated by recent experimental refinements of stellar reaction rates, we establish a non-perturbative Green's function formalism based on the exact solution of the Dyson equation for sub-barrier proton-nucleus resonant scattering. By…

Nuclear Theory · Physics 2026-03-19 Bahruz Suleymanli , Kutsal Bozkurt

We have investigated the effects of nonhermiticity on superconducting states. We have shown the definition of the time-ordered product in the Green's function requires the introduction of a bi-orthogonal basis in nonhermitian systems. This…

Superconductivity · Physics 2020-04-07 Sumanta Bandyopadhyay , Alexander Balatsky