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One-particle Green's function methods can model molecular and solid spectra at zero or non-zero temperatures. One-particle Green's functions directly provide electronic energies and one-particle properties, such as dipole moment. However,…

Chemical Physics · Physics 2021-08-24 Pavel Pokhilko , Sergei Iskakov , Chia-Nan Yeh , Dominika Zgid

Within the non-equilibrium Green's function technique on the real time contour, the Phi-functional method of Baym is reviewed and generalized to arbitrary non-equilibrium many-particle systems. The scheme may be closed at any desired order…

High Energy Physics - Phenomenology · Physics 2008-11-26 Yu. B. Ivanov , J. Knoll , D. N. Voskresensky

A quantum-field approach for describing many-particle Fermi systems at finite temperatures and with spontaneously broken symmetry has been proposed. A generalized model of self-consistent field (SCF), which allows one to describe the states…

Statistical Mechanics · Physics 2013-03-21 Yu. M. Poluektov

In this paper we consider two dimensional quantum system with an infinite waveguide of the width $d$ and a transversally invariant profile. Furthermore, we assume that at a distant $\rho$ there is a perturbation defined by the Kato measure.…

Mathematical Physics · Physics 2024-12-17 Sylwia Kondej , Kacper Ślipko

We have investigated the attractive Hubbard model in the low density limit for the 2D square lattice using the ladder approximation for the vertex function in a self-consistent, conserving formulation. In the parameter region where the…

Strongly Correlated Electrons · Physics 2009-10-31 M. Letz , R. J. Gooding

Machine learning methods are applied to finding the Green's function of the Anderson impurity model, a basic model system of quantum many-body condensed-matter physics. Different methods of parametrizing the Green's function are…

Strongly Correlated Electrons · Physics 2015-06-22 Louis-François Arsenault , Alejandro Lopez-Bezanilla , O. Anatole von Lilienfeld , Andrew J. Millis

The finite-size spectrum in the Kondo problem is obtained from the Bethe-ansatz solution of the exactly solved models. We investigate the Anderson model, the highly correlated SU($\nu$) Anderson model and the {\it s-d} exchange model. For…

Condensed Matter · Physics 2016-08-31 S. Fujimoto , N. Kawakami , S. -K. Yang

In this work, we generalize previous results about the Fractionary Schr\"{o}dinger Equation within the formalism of the theory of Tempered Ultradistributions. Several examples of the use of this theory are given. In particular we evaluate…

Mathematical Physics · Physics 2015-05-20 A. L. De Paoli , M. C. Rocca

We present the continued fraction method (CFM) as a new microscopic approximation to the spectral density of the Hubbard model in the correlated metal phase away from half filling. The quantity expanded as a continued fraction is the single…

Strongly Correlated Electrons · Physics 2009-11-11 R. Hayn , P. Lombardo , K. Matho

The inhomogenous time-fractional telegraph equation with Caputo derevatives with constant coefficients is considered. For considered equation the general representation of regular solution in rectangular domain is obtained, and the…

Analysis of PDEs · Mathematics 2019-06-04 Murat O. Mamchuev

An expression for the Green's function (GF) of anisotropic face centered cubic lattice is evaluated analytically and numerically for a single impurity problem. The density of states (DOS), phase shift and scattering cross section are…

Other Condensed Matter · Physics 2009-04-01 J. H. Asad , R. S. Hijjawi , A. J. Sakaji , J. M. Khalifeh

We have constructed an approximate analytical solution of the spectral problem for a finite-dimensional matrix of a special kind, which turns out to be a very simple and quite satisfactory model of the metastable state. Most of the…

Quantum Physics · Physics 2025-06-05 A. I. Dubikovsky , P. K. Silaev

The Fermi surface symmetric mass generation (SMG) is an intrinsically interaction-driven mechanism that opens an excitation gap on the Fermi surface without invoking symmetry-breaking or topological order. We explore this phenomenon within…

Strongly Correlated Electrons · Physics 2023-07-25 Da-Chuan Lu , Meng Zeng , Yi-Zhuang You

We use a bosonization approach to calculate the single-particle Green's function $G ( {\bf{r}} , \tau )$ of non-relativistic fermions coupled to transverse gauge-fields in arbitrary dimension $d$. We find that in $d>3$ transverse…

Condensed Matter · Physics 2016-08-31 Peter Kopietz

We consider a general class of approximations which guarantees the conservation of particle number in many-body perturbation theory. To do this we extend the concept of $\Phi$-derivability for the self-energy $\Sigma$ to a larger class of…

Strongly Correlated Electrons · Physics 2016-09-15 Daniel Karlsson , Robert van Leeuwen

The one electron spectral functions for the Luttinger model are discussed for large but finite systems. The methods presented allow a simple interpretation of the results. For finite range interactions interesting nonunivesal spectral…

Condensed Matter · Physics 2009-10-22 K. Schönhammer , V. Meden

The 1/N expansion can be successfully used to calculate the Green functions of the two-dimensional O(2N) Gross - Neveu model. In parallel, the methods of analytic perturbation theory are also applied. Comparing the results of these two…

High Energy Physics - Phenomenology · Physics 2007-09-20 Alexander A. Osipov , Brigitte Hiller , Alex H. Blin

Friedel oscillations appear in density of Fermi gases due to Pauli exclusion principle and translational symmetry breaking nearby a defect or impurity. In confined Fermi gases, this symmetry breaking occurs also near to boundaries. Here,…

Quantum Gases · Physics 2019-11-12 Coskun Firat , Altug Sisman , Alhun Aydin

We review Migdal's Theory of Finite Fermi Systems and its application to the structure of nuclei. The theory is an extension of Landau's Theory of Interacting Fermi Systems. In the first part the basic formulas are derived within the many…

Nuclear Theory · Physics 2009-11-11 Frank Gruemmer , Josef Speth

Particle-gamma coincidences from the 46Ti(p,p' gamma)46Ti inelastic scattering reaction with 15-MeV protons are utilized to obtain gamma-ray spectra as a function of excitation energy. The rich data set allows analyzing the coincidence data…