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Free-particle Green's function plays a central role in the theoretical description of electron scattering and autoionization processes in quantum physics and chemistry. Recently, Gaussian basis set approaches have become increasingly…

Chemical Physics · Physics 2026-05-19 Dibyendu Mahato , Wojciech Skomorowski

We investigate Stein-Malliavin approximations for nonlinear functionals of geometric interest of Gaussian random eigenfunctions on the unit $d$ -dimensional sphere ${\mathbb{S}}^{d},$ $d\geq 2.$ All our results are established in the high…

Probability · Mathematics 2015-04-29 Domenico Marinucci , Maurizia Rossi

In this paper, we derive Lorentz force and Maxwell's equations on kappa-Minkowski space-time up to the first order in the deformation parameter. This is done by elevating the principle of minimal coupling to non-commutative space-time. We…

High Energy Physics - Theory · Physics 2012-02-10 E. Harikumar , T. Juric , S. Meljanac

We consider dynamics of a free relativistic particle at very short distances, treating space-time as archimedean as well as nonarchimedean one. Usual action for the relativistic particle is nonlinear. Meanwhile, in the real case, that…

High Energy Physics - Theory · Physics 2007-05-23 D. D. Dimitrijevic , G. S. Djordjevic , Lj. Nesic

We employ Non-equilibrium Green's functions (NEGF) to describe the real-time dynamics of an adsorbate-surface model system exposed to ultrafast laser pulses. For a finite number of electronic orbitals, the system is solved exactly and…

Mesoscale and Nanoscale Physics · Physics 2016-05-04 E. Boström , M. Hopjan , A. Kartsev , C. Verdozzi , C. -O. Almbladh

The magnon Hedin's equations are derived via the Schwinger functional derivative technique, and the resulting self-consistent Green's function method is used to calculate ground state spin patterns and magnetic structure factors for…

Strongly Correlated Electrons · Physics 2022-11-30 Zhen Zhao , Claudio Verdozzi , Ferdi Aryasetiawan

Recent work in the literature has studied rigid Casimir cavities in a weak gravitational field, or in de Sitter spacetime, or yet other spacetime models. The present review paper studies the difficult problem of direct evaluation of scalar…

General Relativity and Quantum Cosmology · Physics 2014-12-03 Giampiero Esposito , George M. Napolitano

The influence of electron--phonon interactions on the dynamics of a quantum dot coupled to a photonic cavity mode is investigated using a nonequilibrium Green's function approach. Within a polaron frame, the self-consistent-Born…

Mesoscale and Nanoscale Physics · Physics 2017-01-11 Gaston Hornecker , Alexia Auffèves , Thomas Grange

Polygonal lines are used for the paths of the gluon field phase factors entering in the definition of gauge invariant quark Green's functions. This allows classification of the Green's functions according to the number of segments the…

High Energy Physics - Theory · Physics 2014-06-11 H. Sazdjian

The main motivation to study models in the presence of a minimal length is to obtain a quantum field theory free of the divergences. In this way, in this paper, we have constructed a new framework for quantum electrodynamics embedded in a…

High Energy Physics - Theory · Physics 2016-06-29 Apollo V. Silva , E. M. C. Abreu , M. J. Neves

We study the free energy of the Laughlin state on curved backgrounds, starting from the free field representation. A simple argument, based on the computation of the gravitational effective action from the transformation properties of Green…

High Energy Physics - Theory · Physics 2014-12-16 Frank Ferrari , Semyon Klevtsov

Investigation of near field of QED requires the refuse from an averaging of the Lorentz condition that smooths out some field peculiarities. Instead of it Schwinger decomposition of the 4-potential with the Bogoliubov method of interaction…

Quantum Physics · Physics 2009-11-13 Mark E. Perel'man

In this paper we evaluate the expression for the Green function of a pseudo-classical spinning particle interacting with constant electromagnetic external fields by taking into account the anomalous magnetic and electric moments of the…

High Energy Physics - Theory · Physics 2011-02-09 A. Barducci , R. Giachetti , G. Pettini

We extend a path-integral approach to bosonization previously developed in the framework of equilibrium Quantum Field Theories, to the case in which time-dependent interactions are taken into account. In particular we consider a non…

High Energy Physics - Theory · Physics 2009-11-10 Carlos M. Naón , Mariano J. Salvay , Marta L. Trobo

The Galilei-covariant fermionic field theories are quantized by using the path-integral method and five-dimensional Lorentz-like covariant expressions of non-relativistic field equations. Firstly, we review the five-dimensional approach to…

High Energy Physics - Theory · Physics 2015-02-10 M. de Montigny , F. C. Khanna , F. M. Saradzhev

We study classical scalar field theories on noncommutative curved spacetimes. Following the approach of Wess et al. [Classical Quantum Gravity 22 (2005), 3511 and Classical Quantum Gravity 23 (2006), 1883], we describe noncommutative…

High Energy Physics - Theory · Physics 2010-08-04 Alexander Schenkel , Christoph F. Uhlemann

Inspired by holographic Wilsonian renormalization, we consider coarse graining a quantum system divided between short distance and long distance degrees of freedom, coupled via the Hamiltonian. Observations using purely long distance…

High Energy Physics - Theory · Physics 2018-08-01 Cesar Agon , Vijay Balasubramanian , Skyler Kasko , Albion Lawrence

The question of which non-interacting Green's function "best" describes an interacting many-body electronic system is both of fundamental interest as well as of practical importance in describing electronic properties of materials in a…

Materials Science · Physics 2017-08-01 Sohrab Ismail-Beigi

We present a canonical quantization of macroscopic electrodynamics. The results apply to inhomogeneous media with a broad class of linear magneto-electric responses which are consistent with the Kramers-Kronig and Onsager relations. Through…

Quantum Physics · Physics 2015-06-11 A. C. Judge , M. J. Steel , J. E. Sipe , C. M. de Sterke

The calculation of work distributions in a quantum many-body system is of significant importance and also of formidable difficulty in the field of nonequilibrium quantum statistical mechanics. To solve this problem, inspired by…

Statistical Mechanics · Physics 2020-07-01 Zhaoyu Fei , H. T. Quan
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