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A simple integral representation is derived for the quasiclassical Green function of the Dirac equation in an arbitrary spherically-symmetric decreasing external field. The consideration is based on the use of the quasiclassical radial wave…

High Energy Physics - Theory · Physics 2009-10-28 R. N. Lee , A. I. Milstein

Multidimensional coherent spectroscopy is a powerful tool to characterize nonlinear optical response functions. Typically, multidimensional spectra are interpreted via a perturbative framework that straightforwardly provides intuition into…

Mesoscale and Nanoscale Physics · Physics 2024-03-13 Albert Liu

We develop a theory of the quasi-static electrodynamic Green's function of deep subwavelength optical cavities containing an hyperbolic medium. We apply our theory to one-dimensional cavities realized using an hexagonal boron nitride and a…

Mesoscale and Nanoscale Physics · Physics 2021-04-02 Iacopo Torre , Lorenzo Orsini , Matteo Ceccanti , Hanan Herzig-Sheinfux , Frank H. L. Koppens

In using the spectral theorem of many-body Green's function theory in order to relate correlations to commutator Green's functions, it is necessary in the standard procedure to consider the anti-commutator Green's functions as well whenever…

Statistical Mechanics · Physics 2009-11-10 P. Fröbrich , P. J. Kuntz

The spectral function A(q,omega) of silicon has been measured along a number of symmetry directions using high-energy high-resolution electron momentum spectroscopy. It is compared with first-principles calculations based on the interacting…

Condensed Matter · Physics 2026-03-03 C. Bowles , A. S. Kheifets , V. A. Sashin , M. Vos , E. Weigold

The Green's function method has applications in several fields in Physics, from classical differential equations to quantum many-body problems. In the quantum context, Green's functions are correlation functions, from which it is possible…

Mesoscale and Nanoscale Physics · Physics 2016-10-14 Mariana M. Odashima , Beatriz G. Prado , E. Vernek

The two-time Green function method in quantum electrodynamics of high-Z few-electron atoms is described in detail. This method provides a simple procedure for deriving formulas for the energy shift of a single level and for the energies and…

Atomic Physics · Physics 2009-11-06 V. M. Shabaev

The many-body problem is usually approached from one of two perspectives: the first originates from an action and is based on Feynman diagrams, the second is centered around a Hamiltonian and deals with quantum states and operators. The…

Strongly Correlated Electrons · Physics 2021-10-15 Fabian B. Kugler , Seung-Sup B. Lee , Jan von Delft

The semiconducting two-dimensional transition metal dichalcogenides MX$_{2}$ show an abundance of one-dimensional metallic edges and grain boundaries. Standard techniques for calculating edge states typically model nanoribbons, and require…

Mesoscale and Nanoscale Physics · Physics 2016-06-10 Mojtaba Farmanbar , Taher Amlaki , Geert Brocks

We extend the formalism of the thermodynamic two-time Green's functions to nonextensive quantum statistical mechanics. Working in the optimal Lagrangian multipliers representation, the $q$-spectral properties and the methods for a direct…

Statistical Mechanics · Physics 2008-09-07 A. Cavallo , F. Cosenza , L. De Cesare

Recent experiments on mesoscopic normal-metal--superconductor heterostructures resolve properties on length scales and at low temperatures such that the temperature is below the Thouless energy $k_B T \le E_{Th}$. We describe the properties…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Wolfgang Belzig , Frank K. Wilhelm , Christoph Bruder , Gerd Schön , Andrei D. Zaikin

The main problem in theoretical analysis of structures with strong confinement is the fact that standard mathematical tools: differential equations and Fourier's transformations are no longer applicable. In this paper we have demonstrated…

Materials Science · Physics 2016-08-14 Jovan P. Šetrajčić

We calculate the multipoint Green functions in 1+1 dimensional integrable quantum field theories. We use the crossing formula for general models and calculate the 3 and 4 point functions taking in to account only the lower nontrivial…

High Energy Physics - Theory · Physics 2017-04-05 H. M. Babujian , M. Karowski , A. M. Tsvelik

Green's functions with continuum spectra are a way of avoiding the strong bounds on new physics from the absence of new narrow resonances in experimental data. We model such a situation with a five-dimensional model with two branes along…

High Energy Physics - Phenomenology · Physics 2021-10-13 Eugenio Megias , Mariano Quiros

I review the way the many-body Green functions are used to renormalize the perturbation theory of correlated fermions. The Green functions are introduced to implement systematically dynamical corrections to the static mean-field theory. The…

Strongly Correlated Electrons · Physics 2021-09-21 Václav Janiš

In this paper, we compute the closed form expressions of elastody- namic Green functions for three different viscoelastic media with simple type of anisotropy. We follow Burridge et al. [Proc. Royal Soc. of London. 440(1910): (1993)] to…

Analysis of PDEs · Mathematics 2011-02-23 Elie Bretin , Abdul Wahab

We develop a variational approach at finite temperature that incorporates many-body correlation self-consistently. The grand potential is constructed in terms of Green's function expressed by the variational parameters. We apply this…

Quantum Gases · Physics 2019-05-30 Akimitsu Kirikoshi , Wataru Kohno , Takafumi Kita

Closed expressions for the Green functions of the stationary two-dimensional two-component Schrodinger equation for an electron moving in monolayer and bilayer graphene in the presence of a magnetic field are obtained in terms of the…

Mesoscale and Nanoscale Physics · Physics 2011-02-18 Tomasz M. Rusin , Wlodek Zawadzki

Using Green$'$s function and operator techniques we give a closed expression for the response of a non-relativistic system interacting through confining, harmonic forces. The expression for the incoherent part permits rapid evaluation of…

Nuclear Theory · Physics 2009-10-22 E. Pace , G. Salme , A. S. Rinat

Here two theoretical models of semi-classical matrix and quantum Green's function are developed for the system of x-ray thin-film planar cavity with inner-shell electronic resonances. The semi-classical model is based on the matrix…

Quantum Physics · Physics 2022-03-02 Xin-Chao Huang , Tian-Jun Li , Frederico Alves Lima , Lin-Fan Zhu
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