000			03101nam a22004575i 4500
001			u374220
003			SIRSI
005			20160812084223.0
007			cr nn 008mamaa
008			100528s2010 gw | s |||| 0|eng d
020			_a9783642122484 _9978-3-642-12248-4
040			_cMX-MeUAM
050		4	_aQA370-380
082	0	4	_a515.353 _223
100	1		_aYserentant, Harry. _eauthor.
245	1	0	_aRegularity and Approximability of Electronic Wave Functions _h[recurso electrónico] / _cby Harry Yserentant.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2010.
300			_aVIII, 182p. 6 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aLecture Notes in Mathematics, _x0075-8434 ; _v2000
505	0		_aand Outline -- Fourier Analysis -- The Basics of Quantum Mechanics -- The Electronic Schrödinger Equation -- Spectrum and Exponential Decay -- Existence and Decay of Mixed Derivatives -- Eigenfunction Expansions -- Convergence Rates and Complexity Bounds -- The Radial-Angular Decomposition.
520			_aThe electronic Schrödinger equation describes the motion of N-electrons under Coulomb interaction forces in a field of clamped nuclei. The solutions of this equation, the electronic wave functions, depend on 3N variables, with three spatial dimensions for each electron. Approximating these solutions is thus inordinately challenging, and it is generally believed that a reduction to simplified models, such as those of the Hartree-Fock method or density functional theory, is the only tenable approach. This book seeks to show readers that this conventional wisdom need not be ironclad: the regularity of the solutions, which increases with the number of electrons, the decay behavior of their mixed derivatives, and the antisymmetry enforced by the Pauli principle contribute properties that allow these functions to be approximated with an order of complexity which comes arbitrarily close to that for a system of one or two electrons. The text is accessible to a mathematical audience at the beginning graduate level as well as to physicists and theoretical chemists with a comparable mathematical background and requires no deeper knowledge of the theory of partial differential equations, functional analysis, or quantum theory.
650		0	_aMathematics.
650		0	_aDifferential equations, partial.
650		0	_aNumerical analysis.
650	1	4	_aMathematics.
650	2	4	_aPartial Differential Equations.
650	2	4	_aApproximations and Expansions.
650	2	4	_aNumerical Analysis.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642122477
830		0	_aLecture Notes in Mathematics, _x0075-8434 ; _v2000
856	4	0	_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-12248-4
596			_a19
942			_cLIBRO_ELEC
999			_c202100 _d202100