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We investigate the possibility of using a transcorrelated Hamiltonian to describe electron correlation. Amethod to obtain transcorrelatedwavefunctionswas developed based on the mathematical framework of the bi-variational principle. This…

Chemical Physics · Physics 2024-07-23 Nicholas Lee , Alex J. W. Thom

Conventional weak-coupling perturbation theory suffers from problems that arise from resonant coupling of successive orders in the perturbation series. Multiple-scale perturbation theory avoids such problems by implicitly performing an…

High Energy Physics - Theory · Physics 2009-10-30 Carl M. Bender , Luis M. A. Bettencourt

We discuss a method that employs a multilayer perceptron to detect deviations from a reference model in large multivariate datasets. Our data analysis strategy does not rely on any prior assumption on the nature of the deviation. It is…

High Energy Physics - Phenomenology · Physics 2021-09-24 Raffaele Tito D'Agnolo , Gaia Grosso , Maurizio Pierini , Andrea Wulzer , Marco Zanetti

In disordered Weyl semimetals, mechanisms of topological origin lead to the protection against Anderson localization, and at the same time to different types of transverse electromagnetic response -- the anomalous Hall, and chiral magnetic…

Mesoscale and Nanoscale Physics · Physics 2015-07-01 Alexander Altland , Dmitry Bagrets

In this work, we investigate gauge theories in two dimensions nonperturbatively using the Hamiltonian truncation approach. Working on a spatial interval and adopting the axial gauge, we remove all gauge field degrees of freedom and express…

High Energy Physics - Theory · Physics 2026-01-12 Rachel Houtz , James Ingoldby

We present a method for evaluating divergent non-Borel-summable series by an analytic continuation of variational perturbation theory. We demonstrate the power of the method by an application to the exactly known partition function of the…

High Energy Physics - Theory · Physics 2009-11-10 B. Hamprecht , H. Kleinert

In these lectures we give a brief introduction to perturbative and non-perturbative string theory. The outline is the following: 1. Introduction to perturbative string theory 1.1 From point particle to extended objects 1.2 Free closed and…

High Energy Physics - Theory · Physics 2016-09-06 Ignatios Antoniadis , Guillaume Ovarlez

Introducing low-energy effective Hamiltonians is usual to grasp most correlations in quantum many-body problems. For instance, such effective Hamiltonians can be treated at the mean-field level to reproduce some physical properties of…

Quantum Gases · Physics 2025-01-09 Raphaël Photopoulos , Antoine Boulet

In a recent work we have introduced a novel approach to study the effect of weak non-linearities in the transfer function on the information transmitted by an analogue channel, by means of a perturbative diagrammatic expansion. We extend…

Statistical Mechanics · Physics 2009-11-07 E. Korutcheva , V. Del Prete

This is an introduction to the use of QCD perturbation theory, emphasizing generic features of the theory that enable one to separate short-time and long-time effects. I also cover some important classes of applications: electron-positron…

High Energy Physics - Phenomenology · Physics 2007-05-23 Davison E. Soper

A new scheme of the iterative perturbation theory is proposed for the strongly correlated electron systems with orbital degeneracy. The method is based on the modified self-energy of Yeyati, et al. which interpolates between the weak and…

Strongly Correlated Electrons · Physics 2009-10-31 T. Saso

A brief introduction to the low-energy effective field theory of the standard model, chiral perturbation theory, is presented.

High Energy Physics - Phenomenology · Physics 2007-05-23 Bastian Kubis

We develop the Hamiltonian theory of axial perturbations around a general time-dependent spherical background spacetime. Using the fact that the linearized constraints are gauge generators, we isolate the physical and unconstrained axial…

General Relativity and Quantum Cosmology · Physics 2009-02-09 David Brizuela , Jose M. Martin-Garcia

Persistent currents in mesoscopic metallic rings induced by static magnetic fields are investigated by means of a Hamiltonian which incorporates diagonal disorder and the electron-electron interaction through a Hubbard term ($U$).…

Condensed Matter · Physics 2016-08-15 G. Chiappe , J. A. Vergés , E. Louis

We develop a theoretical method within the framework of relativistic many-body theory to accurately treat correlation corrections in atoms with few valence electrons. This method combines the all-order approach currently used in precision…

Atomic Physics · Physics 2009-09-01 M. S. Safronova , M. G. Kozlov , W. R. Johnson , Dansha Jiang

We provide a general algorithm to construct a Hamiltonian, such that its dynamical flow covariantly defines any given spherically symmetric and static metric. This Hamiltonian is defined as a linear combination of the standard (general…

General Relativity and Quantum Cosmology · Physics 2025-11-21 Asier Alonso-Bardaji , David Brizuela

Higher order conformal perturbation theory is studied for theories with and without boundaries. We identify systematically the universal quantities in the beta function equations, and we give explicit formulae for the universal coefficients…

High Energy Physics - Theory · Physics 2009-02-27 Matthias R. Gaberdiel , Anatoly Konechny , Cornelius Schmidt-Colinet

A model subspace configuration interaction method is developed to obtain chemically accurate electron correlations by diagonalising a very compact effective Hamiltonian of realistic molecule. The construction of the effective Hamiltonian is…

Chemical Physics · Physics 2022-10-18 Jiasheng Li , Jun Yang

Despite the advances in the development of numerical methods analytical approaches still play the key role on the way towards a deeper understanding of many-particle systems. In this regards, diagonalization schemes for Hamiltonians…

Strongly Correlated Electrons · Physics 2020-10-15 Steffen Sykora , Arnd Hübsch , Klaus W. Becker

Nonlinear dynamical systems with time delay are abundant in applications, but are notoriously difficult to analyse and predict because delay-induced effects strongly depend on the form of the nonlinearities involved, and on the exact way…

Chaotic Dynamics · Physics 2021-11-03 Natalia B. Janson , Christopher J. Marsden
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