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	Douglas Hartree - Open Encyclopedia (Site not responding. Last check: 2007-10-29)
		Douglas Rayner Hartree (March 27, 1897 - February 12, 1958) was an English mathematician and physicist most famous for the development of numerical analysis and its aplication to atomic physics.
		Even at this stage, he was applying his numerical skill to problems in quantum mechanics and developing what came to be known as the Hartree-Fock method, making possible calculations that had previously been seen as intractable.
		Hartree movied to theoretical physics in 1937 before returning to Cambridge to take up the post of Plummer professor of mathematical physics in 1946.
	open-encyclopedia.com /Douglas_Hartree (330 words)

	Hartree-Fock - Wikipedia, the free encyclopedia
		The procedure is named after Douglas Hartree, who devised the self-consistent field method, and V.
		Fock, who demonstrated the rigour of Hartree's method and reformulated it into the matrix form used today.
		A clever dodge, employed by Hartree, for atomic calculations was to increase the nuclear charge, thus pulling all the electrons closer together.
	en.wikipedia.org /wiki/Hartree-Fock (1242 words)

	New Scientist Back Page - Toy story
		In 1934, Douglas Hartree, then at the University of Manchester, needed such a device for his research on molecular structure but at the time it was not easy to raise the money to build such expensive apparatus.
		Consequently, Hartree and his graduate student Andrew Porter set about making a small demonstration model of a differential analyser from Meccano on the expectation (which later proved to be justified) that the sight of a working model would persuade some funding body somewhere to provide money for the construction of a full-scale machine.
		Hartree used his Meccano device to model the Hartree-Fock equation and generate diagrams of the quantum electron structure of molecules.
	www.newscientist.com /backpage.ns?id=lw648 (767 words)

	hartree
		Hartree's international reputation ensured that he kept in close touch with American developments, and during the Second World War he became involved with the ENIAC project.
		Hartree held this chair from 1929 to 1937 when he moved to the chair of theoretical physics.
		Hartree was basically a theoretical physicist, and he developed powerful methods in numerical analysis.
	indykfi.atomki.hu /kisfiz/MT/hartree.htm (599 words)

	Thomas-Fermi vs. Hartree Screening
		In this case the energy of the Hartree band profile is lower than that of the Thomas-Fermi profile in both the emitter notch and well regions.
		The Hartree calculation predicts a lower energy for this state and therefore a lower 2nd turn-on voltage as illustrated in Fig.
		The discontinuity in the Hartree IV curve at 0.44V is due to the discharging of the the ground well state.
	www.cfdrc.com /nemo/pubs/jap2_html/node3.html (580 words)

	DOUGLAS RAYNER HARTREE
		This scientific biography of Douglas R Hartree not only describes important events in his life but also outlines his contributions to a number of fields.
		He is best known for his "self-consistent field" theory for atoms, a theory he later used for the much more difficult problem of predicting the behavior of a magnetron.
		Hartree was very interested in the process of computation.
	www.worldscibooks.com /histsci/5370.html (274 words)

	Hartree (Site not responding. Last check: 2007-10-29)
		Douglas Hartree's parents were Eva Rayner, who played a major role in public life being president of the National Council of Women and mayor of Cambridge, and William Hartree who taught in the engineering laboratory a the University of Cambridge.
		Hartree held the chair at Manchester from 1929 to 1937 when he moved to the chair of theoretical physics.
		One of Hartree's strengths was in the breadth of his research knowledge.
	www-groups.dcs.st-and.ac.uk /~history/Mathematicians/Hartree.html (697 words)

	The Hartree Product and the Description of Local and Global Quantities in Atomic Systems: A Study Within Kohn-Sham ... (Site not responding. Last check: 2007-10-29)
		Our approach, which we began this year, is to investigate new methods that will improve the accuracy yet maintain as much of the computational efficiency of present DFT approaches as possible and stay within the Gaussian orbital framework of electronic structure theory.
		Because the diagonal terms of the exact exchange energy are included in the Hartree theory, it is self-interaction free and the exchange potential has the proper asymptotic behavior.
		Hartree and SIC exchange potentials were obtained with the OEP.
	www.emsl.pnl.gov /docs/tms/annual_report1999/1619b-4k.html (528 words)

	2.3 Hartree Fock theory
		Hartree Fock theory is one the simplest approximate theories for solving the many-body Hamiltonian.
		The third term, or Hartree term, is the simply electrostatic potential arising from the charge distribution of
		In practical applications, convergence of the basis set must be studied to verify that the expansion is sufficiently complete.
	www.physics.uc.edu /~pkent/thesis/pkthnode13.html (552 words)

	Douglas Hartree and Early Computations in Quantum Mechanics
		Douglas Hartree, who was a mathematical physicist at the University of Manchester and the University of Cambridge during the first half of this century, examined the possibilities for numerical solutions of the many-body problem in quantum mechanics which did not permit analytic, closed-form results.
		In an attempt to surmount the mathematical complexities associated with multi-electron atoms, Hartree proposed the method of self-consistent fields as an approximation scheme which would give numerical forms of atomic wave functions via iterative solution of the Schrödinger equation.
		Hartree was quick to recognize the need for automatic computation, both analog and digital, for the practical implementation of the technique.
	csdl2.computer.org /persagen/DLAbsToc.jsp?resourcePath=/dl/mags/an/&toc=comp/mags/an/1988/02/a2toc.xml&DOI=10.1109/MAHC.1988.10014 (541 words)

	MCTDH References
		Multiconfiguration time-dependent Hartree (MCTDH) study on the rotational and diffractive inelastic molecule-surface scattering.
		The multiconfiguration time-dependent Hartree method generalized to the propagation of density operators.
		All mode dynamics at the conical intersection of an octa-atomic molecule: Multi-configuration time-dependent Hartree (MCTDH) investigation on the butatrien cation.
	www.pci.uni-heidelberg.de /tc/usr/mctdh/ref.html (1592 words)

	hartree
		According to the 1998 CODATA recommendations, 1 hartree equals 4.359 743 81 × 10
		The hartree is named for D. Hartree (1897–1958), who proposed an atomic system of units in 1928.
		The Wave Mechanics of an Atom with an Non-Coulomb Central Field.
	www.sizes.com /units/hartree.htm (278 words)

	Hartree-Fock - (3) HF Equations (Site not responding. Last check: 2007-10-29)
		where h is the simplified Hartree hamiltonian for non-interacting electrons that we started with and the bracketed potential term is the extra Hartree-Fock potential arising from including electron-electron interactions with an antisymmetrized wave function.
		It is a Hartree-Fock correction term providing a lowering of the overall energy of interaction due to spin correlation keeping like-spin electrons being apart.
		The single-electron Hartree hamiltonian and the Coulomb component of the Hartree-Fock potential are both local operators.
	hermes.phys.uwm.edu /projects/elecstruct/hermsk/HF/HF.Theory3.html (503 words)

	Hartree-Fock - many electron atoms (1) (Site not responding. Last check: 2007-10-29)
		Hartree made the first calculation based on these ideas already 1928, but calculations of this type are of course best suited for computers.
		In fact, in the present version of the exercises, we will work only with the Hartree method.
		What is the difference between Hartree Method and the Hartree Fock method.
	www.fi.uib.no /AMOS/Hartree/H-F/H-Ftheory1.html (362 words)

	AIP International Catalog of Sources (Site not responding. Last check: 2007-10-29)
		Additions to the collection consist of correspondence between Hartree and R. Bruce Lindsay, 1935-1939, and a personal memoir of Hartree written by his daughter, Margaret Booth.
		Lady Jeffreys (neé Bertha Swirles), Hartree's collaborator on his proposed book on Mechanics retains some duplicated lecture notes of his courses, and some calculations made by his father, William Hartree, on an early, hand-operated Brunsviga.
		Some of Hartree's early calculating machines are held in the Science Museum, London.
	www.aip.org /history/catalog/168.html (148 words)

	Citebase - Kinks in the Hartree approximation
		theory, kink and antikink, are studied in the Hartree approximation.
		In general our results indicate that on a qualitative level there are few differences with the classical results, but on a quantitative level there are some import ones.
		Besides the tadpole (Hartree) approximation as a novel part the numerical solutions are presented which includes...
	www.citebase.org /cgi-bin/citations?id=oai:arXiv.org:hep-ph/0307080 (1271 words)

	Cambridge-Cranfield HPCF: Hartree Programming and Compilation (Site not responding. Last check: 2007-10-29)
		These are hartree_a and hartree_e respectively and are I/O nodes.
		The compute nodes are hartree_b to hartree_j, skipping e.
		As code is compiled on hartree_a, with power3 processors, but run on the compute nodes with power4 processors, some care is need.
	www.hpcf.cam.ac.uk /prog_hartree.html (446 words)

	Hartree and local pseudopotential energies: Model density (Site not responding. Last check: 2007-10-29)
		As a first test of the ab-initio cluster methodology, consider the evaluation of the Hartree term, Eq.
		This expression can be viewed as an approximation to the electron density around a single nuclear core.
		(35) and (36) to generate the cluster system limit of the Hartree and local external energies for different values of
	www.nyu.edu /classes/tuckerman/eccc7/recip/node10.html (151 words)

	Hartree-Fock-Roothan Equations (Site not responding. Last check: 2007-10-29)
		The easiest is the Restricted Hartree Fock (RHF) where only closed shells are considered.
		Spin Unrestricted Hartree Fock, and many others.) For all of these calculations, the equations are nearly the same.
		Up to this point, no reference to the particular functions to be used as basis functions has been made.
	www.osc.edu /PET/CCM/skeleton/training/courses/foundations/qmnotes/node3.html (1204 words)

	Hartree energy - a Whatis.com definition
		The Hartree energy is a physical constant equal to twice the binding energy of the electron in the ground state (the lowest-energy state) of the hydrogen atom.
		When a hydrogen atom is in this state, an amount of energy equal to 0.5 Hartree is necessary to free the electron and thereby cause the atom to become an ion.
		The value of the Hartree energy is approximately 4.36 x 10
	whatis.techtarget.com /definition/0,,sid9_gci869619,00.html (158 words)

	Biographies
		American readers may be more familiar with the equivalent Erector system, which supplanted Meccano in the US market in the 1920s.
		[5] The results obtained on the output table were quite dramatic as shown in D. Hartree and A. Porter, "The Application of the Differential Analyzer to Transients on a Distortionless Transmission Line," J.
		[6] A.K. Nuttall, D. Hartree, and A. Porter, "The Response of a Non-Linear Electric Circuit to an Impulse," Proc.
	csdl2.computer.org /persagen/DLAbsToc.jsp?resourcePath=/dl/mags/an/&toc=comp/mags/an/2003/02/a2toc.xml&DOI=10.1109/MAHC.2003.1203065 (294 words)

	Citebase - Long Range Scattering and Modified Wave Operators for some Hartree Type Equations
		We study the theory of scattering for a class of Hartree type equations with long range interactions in space dimension n > 2, including Hartree equations with potential V(x) = lambda x
		For 1/2 < gamma < 1 we prove the existence of modified wave operators with no size restriction on the data and we determine the asymptotic behaviour in time of solutions in the range of the wave operators.
		Use the Correlation Generator to explore the correlation between download impact ("hits") and citation impact.
	www.citebase.org /cgi-bin/citations?id=oai:arXiv.org:math/9807031 (891 words)

	The Hartree-Fock Approximation
		The Hartree-Fock approximation is an extension of the above Hartree approximation to include the permutation symmetry of the wavefunction which leads to the exchange interaction.
		Exchange is due to the Pauli exclusion principle, which states that the total wavefunction for the system must be antisymmetric under particle exchange.
		with respect to the one-electron wavefunctions as was used in the derivation of the Hartree equations, results in the following set of one-electron equations, the Hartree-Fock equations;
	www.amb.bydgoszcz.pl /~chemfiz/seminaria/b/b22-04.html (273 words)

	Lecture 4: Uniform electron gas and simple metals (Site not responding. Last check: 2007-10-29)
		The homogeneous electron gas is the simplest model that captures the essence of the quantum state of electrons in condensed matter.
		It illustrates many aspects of the Hartree and Hartree-Fock approximations, where the properties can be calculated analytically.
		Electron correlation can be treated by numerical methods and the resulting correlation functions illustrate salient features of the many-electron problem.
	www.physics.uiuc.edu /research/ElectronicStructure/598SCM-F04/lecture_outlines/lect04.html (272 words)

	The Hartree Approximation
		To actually calculate the Hartree potential it is necessary to know the electronic charge distribution of the system.
		If the electrons are assumed to be independent of each other, then it is straightforward to construct
		These equations are known as the Hartree equations.
	www.tcm.phy.cam.ac.uk /~ajw29/thesis/node7.html (230 words)

	Hartree-Fock Theory (Site not responding. Last check: 2007-10-29)
		But there is excellent software available if you are willing to spend the money, and there are a bunch of things available for free if you can find them...
		The Gaussian suite of programs does an enormous variety of quantum chemistry calculations, starting from Hartree Fock theory, for just about any chemical you want.
		But I think it costs on the order of $1000 for a license.
	www.newton.dep.anl.gov /askasci/phy99/phy99231.htm (400 words)

	Hartree-Fock Methods
		While the "exact" many-electron Hamiltonian operator can be written down, the corresponding exact many-electron wave function is not known.
		Hartree-Fock theory builds on the simplest possible approximation to such a many-body wave function, namely a product of one-electron wave functions, where each one-electron wave function corresponds to an individual electron (Hartree approach).
		In Hartree-Fock theory, one additional aspect is included in the many-body wave function, namely the Pauli principle (electrons with the same spin cannot occupy the same orbital).
	www.amb.bydgoszcz.pl /~chemfiz/seminaria/b/b22-02.html (1967 words)

	Notes on Hartree (Site not responding. Last check: 2007-10-29)
		A few brief notes on using Hartree, the HPCF's IBM SP2.
		The compute nodes are hartree_b to hartree_l, skipping e.
		The HPCF should disclaim all responsibility for them but if you have any suggestions.....
	www.hpcf.cam.ac.uk /hartree/notes.html (727 words)

	Motivation and the Hartree Product
		Except in strange cases such as the so-called General Hartree Fock or Z-Averaged Perturbation Theory, usually the spin orbital is just the product of a spatial orbital and either the
		The only way that we get the negative of the original wavefunction is if
		So we can see the Hartree Product is actually very far from having the properties we require.
	vergil.chemistry.gatech.edu /notes/hf-intro/node3.html (335 words)

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