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We use density-matrix renormalization group, applied to a one-dimensional model of continuum Hamiltonians, to accurately solve chains of hydrogen atoms of various separations and numbers of atoms.
L. H. Thomas, “The calculation of atomic fields,” Math. Proc. Camb. Phil. Soc. 23
1927
Earlier work this paper cites.
E. Fermi, Rend. Acc. Naz. Lincei 6
1927
Earlier work this paper cites.
E. Fermi, “Eine statistische Methode zur Bestimmung einiger Eigenschaften des Atoms und ihre Anwendung auf die Theorie des periodischen Systems der Elemente (a statistical method for the determination of some atomic properties and the application of this method to the theory of the periodic system of elements),” Zeitschrift für Physik A Hadrons and Nuclei 48
1928
Earlier work this paper cites.
P. Hohenberg and W. Kohn, “Inhomogeneous electron gas,” Phys. Rev. 136
1964
Earlier work this paper cites.
W. Kohn and L. J. Sham, “Self-consistent equations including exchange and correlation effects,” Phys. Rev. 140
1965
Earlier work this paper cites.
Elliott H Lieb and Barry Simon, “The Thomas-Fermi theory of atoms, molecules and solids,” Advances in Mathematics 23
1977
Earlier work this paper cites.
F.L. Hirshfeld, “Bonded-atom fragments for describing molecular charge densities,” Theoretica chimica acta 44
1977
Earlier work this paper cites.
Mel Levy, “Universal variational functionals of electron densities, first-order density matrices, and natural spin-orbitals and solution of the v v -representability problem,” Proceedings of the National Academy of Sciences of the United States of America 76
1979
Earlier work this paper cites.
F. Sols, “Gauge-invariant formulation of electron linear transport,” Phys. Rev. Lett. 67
1991
Earlier work this paper cites.
Steven R. White, “Density matrix formulation for quantum renormalization groups,” Phys. Rev. Lett. 69
1992
Earlier work this paper cites.
John P. Perdew, Andreas Savin, and Kieron Burke, “Escaping the symmetry dilemma through a pair-density interpretation of spin-density functional theory,” Phys. Rev. A 51
1995
Earlier work this paper cites.
AI Liechtenstein, VI Anisimov, and J Zaanen, “Density-functional theory and strong interactions: Orbital ordering in mott-hubbard insulators,” Physical Review B 52
1995
Earlier work this paper cites.
Antoine Georges, Gabriel Kotliar, Werner Krauth, and Marcelo J. Rozenberg, “Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions,” Rev. Mod. Phys. 68
1996
Earlier work this paper cites.
F. Tran and T.A. Wesolowski, “Introduction of the explicit long-range nonlocality as an alternative to the gradient expansion approximation for the kinetic-energy functional,” Chem. Phys. Lett. 360
2002
Earlier work this paper cites.
2004
Cited alongside, same era.
Radu Iftimie, Peter Minary, and Mark E. Tuckerman, “Ab initio molecular dynamics: Concepts, recent developments, and future trends,” Proceedings of the National Academy of Sciences of the United States of America 102
2005
Cited alongside, same era.
Ulrich Schollwöck, “The density-matrix renormalization group,” Reviews of modern physics 77
2005
Cited alongside, same era.
Trevor Hastie, Robert Tibshirani, Jerome Friedman, and James Franklin, “The elements of statistical learning: data mining, inference and prediction,” The Mathematical Intelligencer 27
2005
Cited alongside, same era.
Aron J. Cohen, Paula Mori-Sánchez, and Weitao Yang, “Insights into current limitations of density functional theory,” Science 321
Lucas O. Wagner, E. M. Stoudenmire, Kieron Burke, and Steven R. White, “Guaranteed convergence of the kohn-sham equations,” Phys. Rev. Lett. 111
2013
Later among the works it cites.
Min-Cheol Kim, Eunji Sim, and Kieron Burke, “Understanding and reducing errors in density functional calculations,” Phys. Rev. Lett. 111
2013
Later among the works it cites.
2014
Later among the works it cites.
Lucas O. Wagner, Thomas E. Baker, M. Stoudenmire, E., Kieron Burke, and Steven R. White, “Kohn-sham calculations with the exact functional,” Phys. Rev. B 90
2014
Later among the works it cites.
Jun Yang, Weifeng Hu, Denis Usvyat, Devin Matthews, Martin Schütz, and Garnet Kin-Lic Chan, “Ab initio determination of the crystalline benzene lattice energy to sub-kilojoule/mole accuracy,” Science 345
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2008
Cited alongside, same era.
2008
Cited alongside, same era.
Ulrich Schollwöck, “The density-matrix renormalization group in the age of matrix product states,” Annals of Physics 326
2011
Cited alongside, same era.
O. M. Parkhi, A. Vedaldi, C. V. Jawahar, and A. Zisserman, “The truth about cats and dogs,” in IEEE International Conference on Computer Vision (2011)
2011
Cited alongside, same era.
John C. Snyder, Matthias Rupp, Katja Hansen, Klaus-Robert Müller, and Kieron Burke, “Finding density functionals with machine learning,” Phys. Rev. Lett. 108
2012
Cited alongside, same era.
E. M. Stoudenmire, Lucas O. Wagner, Steven R. White, and Kieron Burke, “One-dimensional continuum electronic structure with the density-matrix renormalization group and its implications for density-functional theory,” Phys. Rev. Lett. 109
2012
Cited alongside, same era.
Lucas O. Wagner, E.M. Stoudenmire, Kieron Burke, and Steven R. White, “Reference electronic structure calculations in one dimension,” Phys. Chem. Chem. Phys. 14
2012
Cited alongside, same era.
Matthias Rupp, Alexandre Tkatchenko, Klaus-Robert Müller, and O.A. von Lilienfeld, “Fast and accurate modeling of molecular atomization energies with machine learning,” Phys. Rev. Lett. 108
2012
Cited alongside, same era.
2014
Later among the works it cites.
Kevin Vu, John C. Snyder, Li Li, Matthias Rupp, Brandon F. Chen, Tarek Khelif, Klaus-Robert Müller, and Kieron Burke, “Understanding kernel ridge regression: Common behaviors from simple functions to density functionals,” International Journal of Quantum Chemistry 115
2015
Later among the works it cites.
Thomas E. Baker, E. Miles Stoudenmire, Lucas O. Wagner, Kieron Burke, and Steven R. White, “One-dimensional mimicking of electronic structure: The case for exponentials,” Phys. Rev. B 91
2015
Later among the works it cites.
Matthias Rupp, “Special issue on machine learning and quantum mechanics,” International Journal of Quantum Chemistry 115
2015
Later among the works it cites.
John C. Snyder, Matthias Rupp, Klaus-Robert Müller, and Kieron Burke, “Nonlinear gradient denoising: Finding accurate extrema from inaccurate functional derivatives,” International Journal of Quantum Chemistry 115
2015
Later among the works it cites.
Li Li, John C. Snyder, Isabelle M Pelaschier, Jessica Huang, Uma-Naresh Niranjan, Paul Duncan, Matthias Rupp, Klaus-Robert Müller, and Kieron Burke, “Understanding machine-learned density functionals,” International Journal of Quantum Chemistry 116
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2016
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2016
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2016
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