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A new scheme has been proposed to solve the B.E. condenstates in terms of Green's function approach. It has been shown that the radial wave function of two interacting atoms, moving in a common harmonic oscillator potential modified by an…

Quantum Physics · Physics 2007-05-23 Mahendra Sinha Roy

The non equilibrium Green function formalism is today the standard computational method for describing elastic transport in molecular devices. This can be extended to include inelastic scattering by the so called self-consistent Born…

Other Condensed Matter · Physics 2009-11-13 William Lee , Stefano Sanvito

We look at estimates for the Green's function of time-fractional evolution equations of the form $D^{\nu}_{0+*} u = Lu$, where $D^{\nu}_{0+*}$ is a Caputo-type time-fractional derivative, depending on a L\'evy kernel $\nu$ with variable…

Probability · Mathematics 2019-07-01 Ifan Johnston , Vassili Kolokoltsov

According to recent Quantum Monte Carlo simulations the small polaron theory is practically exact in a wide range of the long-range (Frohlich) electron-phonon coupling and adiabatic ratio. We apply the Lang-Firsov transformation to convert…

Superconductivity · Physics 2009-10-31 A. S. Alexandrov , C. Sricheewin

We consider gauge invariant quark two-point Green's functions in which the gluonic phase factor follows a skew-polygonal line. Using a particular representation for the quark propagator in the presence of an external gluon field, functional…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Sazdjian

Several widely used methods for the calculation of band structures and photo emission spectra, such as the GW approximation, rely on Many-Body Perturbation Theory. They can be obtained by iterating a set of functional differential equations…

Strongly Correlated Electrons · Physics 2012-01-31 Giovanna Lani , Pina Romaniello , Lucia Reining

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

The effect of electron-electron scattering on the equilibrium properties of few-electron quantum dots is investigated by means of nonequilibrium Green's functions theory. The ground and equilibrium state is self-consistently computed from…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 K. Balzer , M. Bonitz , R. van Leeuwen , N. E. Dahlen , A. Stan

We present a theoretical method for the design and optimization of quantum corrals with specific electronic properties. Taking advantage that spins are subject to a RKKY interaction that is directly controlled by the scattering of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Alfredo A. Correa , Fernando A. Reboredo , C. A. Balseiro

The equilibration of two coupled reservoirs is studied using a Green function approach which is suitable for future development with the closed time path method. The problem is solved in two parameterizations, in order to demonstrate the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Mark Burgess , Margaret Carrington , Gabor Kunstatter

We provide a framework for calculating holographic Green's functions from general bilinear actions and fields obeying coupled differential equations in the bulk. The matrix-valued spectral function is shown to be independent of the radial…

High Energy Physics - Theory · Physics 2014-11-20 Matthias Kaminski , Karl Landsteiner , Javier Mas , Jonathan P. Shock , Javier Tarrio

Representing spectral densities, real-frequency, and real-time Green's functions of continuous systems by a small discrete set of complex poles is an ubiquitous problem in condensed matter physics, with applications ranging from quantum…

Strongly Correlated Electrons · Physics 2025-06-04 Lei Zhang , André Erpenbeck , Yang Yu , Emanuel Gull

In the framework of Kontsevich-Zagier periods, we derive integral representations for weight-$k$ automorphic Green's functions invariant under modular transformations in $\varGamma_0(N)$ ($N\in\mathbb Z_{\geq1} $), provided that there are…

Classical Analysis and ODEs · Mathematics 2015-10-23 Yajun Zhou

The uniform asymptotic approximation method provides a powerful, systematically-improved, and error-controlled approach to construct accurate analytical approximate solutions of mode functions of perturbations of the…

Cosmology and Nongalactic Astrophysics · Physics 2014-09-08 Tao Zhu , Anzhong Wang , Gerald Cleaver , Klaus Kirsten , Qin Sheng

Due to random dopant fluctuations, the device-to-device variability is a serious challenge to emerging nanoelectronics. In this work we present theoretical formalisms and numerical simulations of quantum transport variability, based on the…

Mesoscale and Nanoscale Physics · Physics 2013-11-14 Yu Zhu , Lei Liu , Hong Guo

The main aspects of a gauge-invariant approach to the description of quark dynamics in the nonperturbative regime of QCD are first reviewed. In particular, the role of the parallel transport operation in constructing gauge-invariant Green's…

High Energy Physics - Phenomenology · Physics 2016-01-08 H. Sazdjian

The anomalous <VVP> Green function and related form-factors (pi^0 to gamma^* gamma^* and tau^- to X^- nu_tau vector form-factors, with X^-=(KKpi)^-, phi^- gamma, (phi V)^-) are analyzed in this letter in the large-N_C limit. Within the…

High Energy Physics - Phenomenology · Physics 2014-05-02 Pablo Roig , Juan José Sanz Cillero

In order to account for competition and interplay of localized and itinerant magnetic behaviour in correlated many body systems with complex spectra the various types of spin-fermion models have been considered in the context of the…

Strongly Correlated Electrons · Physics 2009-11-07 A. L. Kuzemsky

Gauge invariant quark two-point Green's functions defined with path-ordered gluon field phase factors along skew-polygonal lines joining the quark to the antiquark are considered. Functional relations between Green's functions with…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Sazdjian

Korringa-Kohn-Rostoker (KKR) Green's function, multiple-scattering theory is an efficient site-centered, electronic-structure technique for addressing an assembly of $N$ scatterers. Wave-functions are expanded in a spherical-wave basis on…

Materials Science · Physics 2015-06-22 Aftab Alam , Suffian N. Khan , Andrei Smirnov , D. M. Nicholson , Duane D. Johnson