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008 230323s2023 si o 000 0 eng d
010 _a2023930091
020 _a9789811272158
_q(ebook)
020 _a9811272158
_q(ebook)
020 _z9789811272141
_q(hbk.)
020 _z981127214X
_q(hbk.)
040 _aWSPC
_beng
_cWSPC
050 0 0 _aQC20.7
072 7 _aSCI
_x040000
_2bisacsh
072 7 _aSCI
_x077000
_2bisacsh
082 0 4 _a530.144
049 _aMAIN
245 0 0 _aDensity functionals for many-particle systems :
_bmathematical theory and physical applications of effective equations /
_cBerthold-Georg Englert, Heinz Siedentop, Martin-Isbjörn Trappe.
260 _aSingapore :
_bWorld Scientific,
_c2023.
300 _a1 online resource (396 p.).
490 1 _aLecture Notes Series, Institute For Mathematical Sciences, National University Of Singapore ;
_vv.41
505 0 _aMathematical elements of density functional theory / Heinz Siedentop -- A statistical theory of heavy atoms: energy and excess charge / Hongshuo Chen, Rupert L Frank, and Heinz Siedentop -- Relativistic strong Scott conjecture: a short proof / Rupert L Frank, Konstantin Merz, and Heinz Siedentop -- Direct methods to Lieb-Thirring kinetic inequalities / Phan Thành Nam -- Dynamics of interacting bosons: a compact review / Marcin Napiórkowski -- Corrections to the mean-field description for the dynamics of Bose gases / Peter Pickl -- Semiclassics: the hidden theory behind the success of DFT / Pavel Okun and Kieron Burke -- Density-potential functional theory for fermions in one dimension / Martin-Isbjörn Trappe, Jun Hao Hue, and Berthold-George Englert -- Remarks on the density functional theory of relativistic many-particle systems / Reiner M Dreizler -- Energy functionals of single-particle densities: a unifled view / Berthold-Georg Englert, Jun Hao Hue, Zi Chao Huang, Mikołaj M Paraniak, and Martin-Isbjörn Trappe -- Spin-density functional theory through spin-free wave functions / Mel Levy, Federico Zahariev, and Mark S Gordon -- Advances in rectangular collocation for solution of the Schrödinger equation: from obviating integrals to machine learning / Sergei Manzhos and Tucker Carrington -- FLEIM: a stable, accurate and robust extrapolation method at infinity for computing the ground state of electronic Hamiltonian / Étienne Polack, Yvon Maday, and Andreas Savin.
520 _a"Density Functional Theory (DFT) first established it's theoretical footing in the 1960s from the framework of Hohenberg-Kohn theorems. DFT has since seen much development in evaluation techniques as well as application in solving problems in Physics, Mathematics and Chemistry. This review volume, part of the IMS Lecture Notes Series, is a collection of contributions from the September 2019 Workshop on the topic, held in the Institute for Mathematical Sciences, National University of Singapore. With contributions from prominent Mathematicians, Physicists, and Chemists, the volume is a blend of comprehensive review articles on the Mathematical and the Physicochemical aspects of DFT and shorter contributions on particular themes, including numerical implementations. The book will be a useful reference for advanced undergraduate and postgraduate students as well as researchers."--
_cPublisher's website.
538 _aMode of access: World Wide Web.
538 _aSystem requirements: Adobe Acrobat reader.
650 0 _aDensity functionals.
650 0 _aMany-body problem.
655 0 _aElectronic books.
700 1 _aEnglert, Berthold-Georg,
_d1953-
700 1 _aSiedentop, Heinz Karl Heinrich.
700 1 _aTrappe, Martin-isbjorn.
830 0 _aLecture Notes Series, Institute For Mathematical Sciences, National University Of Singapore.
856 4 0 _uhttps://www.worldscientific.com/worldscibooks/10.1142/13303#t=toc
942 _cE-BOOK
999 _c49758
_d49758