A CORRELATION ESTIMATE WITH APPLICATIONS TO QUANTUM SYSTEMS WITH COULOMB INTERACTIONS

Gian Michele Graf, Jan Philip Solovej

Type: Review

Publication Date: 1994-01-01

Citations: 94

DOI: https://doi.org/10.1142/s0129055x94000328

View Publication

Locations

Reviews in Mathematical Physics - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	A CORRELATION ESTIMATE FOR QUANTUM MANY-BODY SYSTEMS AT POSITIVE TEMPERATURE	2006	Robert Seiringer
+	General Decomposition of Radial Functions on R^n and Applications to N-Body Quantum Systems	2001	Christian Hainzl Robert Seiringer
+	Higher Dimensional Coulomb Gases and Renormalized Energy Functionals	2013	Nicolas Rougerie Sylvia Serfaty
+ PDF Chat	Higher‐Dimensional Coulomb Gases and Renormalized Energy Functionals	2015	Nicolas Rougerie Sylvia Serfaty
+ PDF Chat	Correlation energy of a weakly interacting Fermi gas	2021	Niels Benedikter Phan Thành Nam Marcello Porta Benjamin Schlein Robert Seiringer
+	Electronic correlations with inclusion of one-particle operators	1992	Changjiang Mei Gernot Stollhoff Peter Fulde
+ PDF Chat	Improved Lieb-Oxford exchange-correlation inequality with a gradient correction	2015	Mathieu Lewin Élliott H. Lieb
+ PDF Chat	Upper bounds of spin-density wave energies in the homogeneous electron gas	2015	F. Delyon B. Bernu Lucas Baguet Markus Holzmann
+ PDF Chat	Augmented potential, energy densities, and virial relations in the weak- and strong-interaction limits of DFT	2017	Stefan Vuckovic Mel Levy Paola Gori‐Giorgi
+ PDF Chat	Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime	2019	Niels Benedikter Phan Thành Nam Marcello Porta Benjamin Schlein Robert Seiringer
+ PDF Chat	On the lower bound on the exchange-correlation energy in two dimensions	2009	E. Räsänen Stefano Pittalis C. R. Proetto K. Capelle
+ PDF Chat	Ground State and Charge Renormalization in a Nonlinear Model of Relativistic Atoms	2008	Philippe Gravejat Mathieu Lewin Éric Séré
+	An optimal upper bound for the dilute Fermi gas in three dimensions	2022	Emanuela L. Giacomelli
+	Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential	2021	Niels Benedikter Marcello Porta Benjamin Schlein Robert Seiringer
+	Operator Norm Bounds on the Correlation Matrix of the SK Model at High Temperature	2023	Christian Brennecke Changji Xu Horng‐Tzer Yau
+	Assessment of the TCA functional in computational chemistry and solid-state physics	2015	Eduardo Fabiano Lucian A. Constantin Aleksandrs Terentjevs Fabio Della Sala Pietro Cortona
+	Equivalence of exchange - correlation functionals for the inhomogeneous electron gas and jellium at finite temperature	2017	James W. Dufty
+ PDF Chat	Symmetry interaction and many-body correlations	2008	M. Papa G. Giuliani
+	Symmetries and Correlations in Strongly Interacting One-dimensional Quantum Gases	2018	Jean Decamp
+	The Gell-Mann$-$Brueckner Formula for the Correlation Energy of the Electron Gas: A Rigorous Upper Bound in the Mean-Field Regime	2022	Martin Ravn Christiansen Christian Hainzl Phan Thành Nam

Works That Cite This (64)

Action	Title	Year	Authors
+ PDF Chat	Symmetry Breaking in the Periodic Thomas–Fermi–Dirac–von Weizsäcker Model	2018	Julien Ricaud
+ PDF Chat	Ground-state energy of the low-density Fermi gas	2005	Élliott H. Lieb Robert Seiringer Jan Philip Solovej
+	Some bound state problems in quantum mechanics	2007	Dirk Hundertmark
+	General Decomposition of Radial Functions on R^n and Applications to N-Body Quantum Systems	2001	Christian Hainzl Robert Seiringer
+	Strong Scott Conjecture	2019	Victor Ivrii
+	A Microscopic Derivation of the Time-Dependent Hartree-Fock Equation with Coulomb Two-Body Interaction	2008	Juerg Froehlich Antti Knowles
+	Semiclassical Spectral Asymptotics and Multiparticle Quantum Theory	1995	Victor Ivrii
+ PDF Chat	Mean-Field Evolution of Fermions with Singular Interaction	2018	Chiara Saffirio
+ PDF Chat	Mean Field Evolution of Fermions with Coulomb Interaction	2017	Marcello Porta Simone Rademacher Chiara Saffirio Benjamin Schlein
+ PDF Chat	Effective Dynamics of Extended Fermi Gases in the High-Density Regime	2023	Luca Fresta Marcello Porta Benjamin Schlein

Works Cited by This (0)

Action	Title	Year	Authors