From 78192af2482125cf5c772aafa4f1fc3ef480f3bb Mon Sep 17 00:00:00 2001 From: pfloos Date: Sun, 12 Nov 2023 08:49:17 +0000 Subject: [PATCH] deploy: b1047f2a9e60a657c2796fb0fac4f06ccd8938fa --- presentations/index.html | 7 +++++-- 1 file changed, 5 insertions(+), 2 deletions(-) diff --git a/presentations/index.html b/presentations/index.html index 093ec85..9f9e70c 100644 --- a/presentations/index.html +++ b/presentations/index.html @@ -60,7 +60,7 @@ "headline": "Presentations", "description" : "ORAL PRESENTATIONS Arjan Berger (LCPQ, Toulouse) The one-point model: solving equations in pointland\nIn the one-point model we consider a zero-dimensional space. The advantage of this model is that the many-body equations simplify enormously and can be solved analytically. In particular, the one-body Greenʼs function is a solution of a set of functional integro-differential equations, which relate the one-particle Greenʼs function to its functional derivative with respect to an external potential [1].", "inLanguage" : "en", - "wordCount": 4834 , + "wordCount": 5068 , "datePublished" : "0001-01-01T00:00:00", "dateModified" : "0001-01-01T00:00:00", "image" : "https:\/\/lcpq.github.io\/MSQM\/img\/sphericalcow.png", @@ -269,7 +269,10 @@

Antoine Levitt (LMO, Orsay)

numerical methods to compute them, starting from the example of the 1D chain.

Peter Gill (USyd, Sydney)

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TBA

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Finite Uniform Electron Gases

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The Uniform Electron Gas (UEG), which was introduced almost a century ago by Thomas and Fermi, has become one of the most widely used fundamental models in quantum physics, and its properties have been studied by many of the leading figures in the field. In its simplest form, it is characterised by a single parameter ρ — the mean number of electrons per unit volume — and its energy per unit volume and other properties are then computable functions of ρ. One of its key weaknesses of the UEG is that it is an infinite system and this limits its accuracy when it is applied, for example, to finite molecular systems.

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In recent years, there has been interest in the Finite Uniform Electron Gases (FUEGs) that are created when a finite number of electrons are confined to a finite space in which all points are equivalent. The simplest examples of this arise when n electrons are confined to a sphere and we have called this system n-ringium, n-spherium and n-glomium, respectively, when the sphere is 1-, 2- or 3-dimensional. The Schrödinger equations for 2-ringium, 2-spherium and 2-glomium are quasi-exactly solvable and admit simple polynomial solutions for certain values of the spherical radius R.

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I will present a pedagogical introduction to FUEGs, highlight some of the key features of their exact solutions, and note some of the important questions that remain unanswered.

Eric Cancès (CERMICS, Paris)

Model systems for discretization error analysis

In the first part of my talk, I will present a detailed analysis of the famous error cancellation phenomenon in electronic structure calculation on the example of a 1D Hamiltonian with Dirac-delta potentials and periodic boundary conditions [1]. In the second part of my talk, I will illustrate the importance of continuous spectrum (scattering states) in quantum chemistry by numerical calculations based on the explicit knowledge of the bound states of the hydrogen atom [2].