Douglas Rayner Hartree PhD , Fellow of the Royal Society FRS 27 March 1897 12 February 1958 was an England ... application to the Hartree Fock method Hartree Fock equations of atomic physics and the construction of the meccano differential analyser . Early life DouglasHartree was born in Cambridge , United ... first Charles G. title Douglas Rayner Hartree journal Biographical Memoirs of Fellows of the Royal ... front to back Jack Howlett, Nicholas R. Eyres, J. G. L. Michel center, DouglasHartree right Phyllis ... Froese Fischer first Charlotte authorlink coauthors editor others title Douglas Rayner Hartree His ... Persondata Metadata see Wikipedia Persondata . NAME Hartree, Douglas ALTERNATIVE NAMES SHORT DESCRIPTION ... Hartree, Douglas Category Fellows of the Royal Society Category 1897 births Category 1958 ... Old Bedalians ar de Douglas Rayner Hartree fr DouglasHartree id DouglasHartree it DouglasHartree ht DouglasHartree lt Douglas Rayner Hartree nl DouglasHartree ru , sk Douglas Rayner Hartree sl Douglas Rayner Hartree ... equations, executing most of his own work with pencil and paper. After the end of World War I, Hartree ... by Niels Bohr to Cambridge inspired Douglas to apply his numerical skills to Bohr model Bohr s theory ... of Schr dinger equation Schr dinger s equation in the same year, Douglas was able to apply his knowledge ... quantum theory . He derived the Hartree equation s for the distribution of electrons in an atom and proposed ... functions are required. Vladimir Fock V. Fock published the equations with exchange now known as Hartree Fock method Hartree Fock equations . These are considerably more demanding computationally even with the efficient methods Hartree proposed for the calculation of exchange contributions. Manchester years In 1929, Hartree was appointed to the Beyer Chair of Applied Mathematics at the School of Mathematics ... Vickers . The first application of the machine reflected Hartree s enthusiasm for Rail transport ... more details
The hartree symbol E sub h sub or Ha , also known as the Hartree energy , is the atomic unit of energy , named after the United Kingdom British physicist DouglasHartree . It is defined as 2 R sub sub hc , where R sub sub is the Rydberg constant , h is the Planck constant and c is the speed of light . The 2006 CODATA recommended value is E sub h sub nowrap 4.359 743 94 22 e 18 J nowrap 27.211 383 86 68 eV . ref CODATA2006 url http physics.nist.gov cgi bin cuu Value?hr . ref The hartree energy is approximately the electric potential energy of the hydrogen atom in its ground state and, by the virial theorem , approximately twice its ionization energy the relationships are not exact because of the finite mass of the Atomic nucleus nucleus of the hydrogen atom and Quantum electrodynamics relativistic corrections . The hartree is usually used as a unit of energy in atomic physics and computational chemistry for experimental measurements at the atomic scale, the electronvolt eV or the reciprocal centimetre cm sup 1 sup are much more widely used. Other relationships math E mathrm h hbar 2 over m mathrm e a 2 0 m mathrm e left frac e 2 4 pi epsilon 0 hbar right 2 m mathrm e c 2 alpha 2 hbar c alpha over a 0 math 2 Rydberg constant Ry 2625.499 62 kJ Mole unit mol 627.509 469 kilocalorie per mole kcal mol 219 474.631 3705 15 cm sup 1 sup where is the reduced Planck constant , m sub e sub is the electron rest mass , e is the elementary charge , a sub 0 sub is the Bohr radius , sub 0 sub is the electric constant , c is the speed of light in vacuum, and is the fine structure constant . References reflist Category Units of energy Category Physical constants ar ca Energia de Hartree de Hartree Energie es Hartree fr Hartree it Energia di Hartree nl Hartree eenheid ja pl Energia Hartree go pt Hartree ru sl Hartreejeva energija uk vi N ng l ng Hartree ... more details
In mathematics, the Hartree equation , named after DouglasHartree , is math i , partial tu nabla 2 u V u u math in math mathbb R d 1 math where math V u pm x n u 2 math and math 0 n d math The non linear Schrodinger equation is in some sense a limiting case. External links dpde Category partial differential equations ... more details
Cape Hartree coor dm 60 48 S 44 44 W is a cape which forms the southwest tip of Mossman Peninsula on the south coast of Laurie Island , in the South Orkney Islands . Discovered on the occasion of the joint cruise in December 1821 by Captain George Powell mariner George Powell , a British sealer in the sloop Dove, and Captain Nathaniel Palmer , an American sealer in the sloop James Monroe . The name appears on Powell s map published in 1822. usgs gazetteer Category Geography of Antarctica Hartree, Cape subantarctic geo stub ... more details
the derivation of the Schr dinger equation in 1926. In 1927 DouglasHartree D. R. Hartree introduced ... DIIS Direct Inversion of Iterative Subspace multicol break People DouglasHartree Vladimir Aleksandrovich ... and energies for atoms and ions. Hartree was guided by some earlier, semi empirical methods ... parameters with the hope of better reproducing the experimental data. Hartree sought to do away with empirical ... of solution became known as the Hartree method . However, many of Hartree s contemporaries did not understand the physical reasoning behind the Hartree method it appeared to many people to contain .... However, in 1928 John C. Slater J. C. Slater and J. A. Gaunt independently showed that the Hartree ... Fock V. A. Fock independently pointed out that the Hartree method did not respect the principle of exchange symmetry antisymmetry of the wave function. The Hartree method used the Pauli exclusion ... solution and hence is a suitable ansatz for applying the variational principle . The original Hartree ... for contemporary physicists to understand and implement. In 1935 Hartree reformulated the method ... greater computational demands over the early Hartree method and empirical models. Initially, both the Hartree method and the Hartree&ndash Fock method were applied exclusively to atoms, where .... Image Hartree Fock.png thumb right 325px Greatly simplified algorithmic flowchart illustrating the Hartree&ndash ... of the calculated and immediately preceding wave function. A clever dodge, employed by Hartree ... chemistry Category Computational chemistry de Hartree Fock Methode es M todo de Hartree Fock fr M thode de Hartree Fock ko id Hartree Fock it Metodo di Hartree Fock nl Hartree Fock methode ja pl Metoda Hartree Focka pt M todo de Hartree Fock ru sv Hartree ... more details
The Appleton Hartree equation , sometimes also referred to as the Appleton Lassen equation is a mathematical expression that describes the refractive index for electromagnetic wave propagation in a cold magnetized plasma physics plasma . The Appleton Hartree equation was developed independently by several different scientists, including Edward Victor Appleton , DouglasHartree and German radio physicist H. K. Lassen . ref name lassen Lassen, H., I. Zeitschrift f r Hochfrequenztechnik , 1926. Volume 28, pp. 109 113 ref Lassen s work, completed two years prior to Appleton and five years prior to Hartree, included a more thorough treatment of collisional plasma but, published only in German, it has not been widely read in the English speaking world of radio physics. ref name suchy C. Altman, K. Suchy. Reciprocity, Spatial Mapping and Time Reversal in Electromagnetics Developments in Eelctromagnetic Theory and Application . Pp 13 15. Kluwer Academic Publishers, 1991. Also available online, http books.google.com books?id bQmQil dMBUC Google Books Scan ref Equation The dispersion relation can be written as an expression for the frequency squared , but it is also common to write it as an expression for the index of refraction math n 2 left frac ck omega right 2 math . Full Equation The equation is typically given as follows ref Citation last Helliwell first Robert year 2006 title Whistlers and Related Ionospheric Phenomena edition 2nd publication place Mineola, NY publisher Dover pages 23 24 ref math n 2 1 frac X 1 iZ frac frac 1 2 Y 2 sin 2 theta 1 X iZ pm frac 1 1 X iZ left frac ... pm math sign in the Appleton Hartree equation gives two separate solutions for the refractive index ... Z math terms in the equation. The Appleton Hartree equation for a cold, collisionless plasma is therefore ..., for quasi longitudinal propagation in a cold, collisionless plasma, the Appleton Hartree equation ... DEFAULTSORT Appleton Hartree Equation Category Electromagnetic radiation Category Waves in plasmas ... more details
In computational chemistry , post Hartree Fock ref cite book last Cramer first Christopher J. title Computational chemistry Essentials of Computational Chemistry publisher John Wiley & Sons year 2002 isbn 0 470 09182 1 ref ref cite book last Jensen first Frank title Computational chemistry Introduction to Computational Chemistry 2nd edition publisher John Wiley & Sons year 1999 isbn 0 470 01187 4 ref methods are the set of methods developed to improve on the Hartree Fock HF , or self consistent field SCF method. They add electronic correlation electron correlation which is a more accurate way of including the repulsions between electrons than in the Hartree Fock method where repulsions are only averaged. In general, the SCF procedure makes several assumptions about the nature of the multi body Schr dinger equation and its set of solutions The Born Oppenheimer approximation is inherently assumed. The true wavefunction should also be a function of the coordinates of each of the nuclei. Typically, special relativity relativistic effects are completely neglected. The momentum operator is assumed to be completely classical mechanics classical . The basis set is composed of a finite number of orthogonal functions. The true wavefunction is a linear combination of functions from a complete space complete infinite basis set. The energy eigenfunctions are assumed to be products of one electron ... reactions, the fourth item is by far the most important. As a result, the term post Hartree ..., post Hartree Fock methods give more accurate results than Hartree Fock calculations, although the added accuracy comes with the price of added computational cost. Post Hartree Fock methods Configuration ... . etc. Related methods Methods that use more than one determinant are not strictly post Hartree Fock ... & Sons 1999 Category Quantum chemistry Category Computational chemistry fr M thode post Hartree Fock id Pasca Hartree Fock nl Post Hartree Fock ja pt M todo p s Hartree Fock ... more details
wiktionarypar DouglasDouglas may refer to TOCright People Douglas given name Douglas surname Clan Douglas , a Scottish kindred Earl of Douglas , or any holder of the title Marquess of Douglas , or any holder of the title Duke of Douglas , or any holder of the title Places Australia Douglas, Queensland Canada Douglas, New Brunswick Admaston Bromley, Ontario Douglas, Ontario Falkland Islands Douglas, Falkland Islands Ireland Douglas, Cork Isle of Man Douglas, Isle of Man , the capital of the Isle of Man New Zealand Douglas, Taranaki Douglas, Canterbury South Africa Douglas, Northern Cape United Kingdom Douglas, County Antrim , a townland in County Antrim , Northern Ireland Castle Douglas , Dumfries and Galloway, Scotland Douglas Castle , South Lanarkshire, Scotland Douglas, South Lanarkshire , Scotland Douglas Water , Lanarkshire, Scotland Glen Douglas , Argyllshire, Scotland River Douglas , Lancashire, England United States Douglas, Alabama Douglas, Alaska Douglas, Arizona Douglas, Georgia Douglas, Chicago , Illinois Douglas, Indiana Douglas County, Kansas Douglas, Massachusetts Douglas, Michigan Douglas, Nebraska Douglas, North Dakota Douglas, Oklahoma Douglas, Wisconsin Douglas, Wyoming Businesses Douglas Aircraft Company Various List of aircraft C D Douglas Aircraft Corporation Douglas built aircraft Douglas AG , European retail company Douglas motorcycles , British motorcycle manufacturer Hospitals Douglas Mental Health University Institute , a mental institution in Montreal, Quebec Fiction Donald and Douglas , engines from Thomas the Tank Engine and Friends Doug , an animated television series on the Nickelodeon TV channel and later on Disney s 1 Saturday Morning Douglas play Douglas play , an 18th century tragedy by John Home Plants The Douglas Iris , a wildflower The Douglas fir , the common name for a type of coniferous tree Sports The Douglas GAA , a Gaelic Athletic Association club from Douglas, Cork, Ireland Things Douglas locomotive , a preserved locomotive ... more details
Orphan date January 2011 Multi configuration time dependent DouglasHartreeHartree MCTDH is a general algorithm to solve the time dependent Schr dinger equation for multidimensional dynamical systems consisting of distinguishable Elementary particle particles . MCTDH can thus determine the quantal motion of the nuclei of a molecule molecular system evolving on one or several vibronic coupling coupled electronic potential energy surface s. MCTDH by its very nature is an approximate method. However, it can be made as accurate as any competing method, but its numerical efficiency deteriorates with growing accuracy. MCTDH is designed for multi dimensional problems, in particular for problems that are difficult or even impossible to attack in a conventional way. There is no or only little gain when treating systems with less than three degrees of freedom physics and chemistry degrees of freedom by MCTDH. MCTDH will in general be best suited for systems with 4 to 12 degrees of freedom. Because of hardware limitations it may in general not be possible to treat much larger systems. For a certain class of problems, however, one can go much further. The MCTDH program package has recently been generalised to enable the propagation of density operator s. References H. D. Meyer, U. Manthe, and L. S. Cederbaum, The multi configurational time dependent Hartree approach , Chem. Phys. Lett. 165 1990 73. U. Manthe, H. D. Meyer, and L. S. Cederbaum, Wave packet dynamics within the multiconfigurational Hartree framework General aspects and application to NOCl , J. Chem. Phys. 97 1992 3199. M. H. Beck, A. J ckle, G. A. Worth, and H. D. Meyer. The multiconfiguration time dependent Hartree method A highly efficient algorithm for propagating wavepackets. Physics Reports 324 2000 1. External links ... de Multi configuration time dependent Hartree fr M thode multi configurationnelle d pendante du temps de Hartree ... more details
Cleanup date October 2009 Infobox Scientist box width name Alexander Sandy Shafto Douglas image image ... signature filename only footnotes Professor Alexander Sandy Shafto Douglas CBE born 21 May 1921, died ...?id E4 pXc IEtsC&pg PA538&dq Alexander Sandy Douglas Noughts and Crosses&ei wVB SrmYCZLykwS 3P20Cg ... story.com Pong Story . ref Douglas died in sleep on April 29, 2010, from pneumonia . ref name obituary cite journal title Obituary. Alexander Sandy Shafto Douglas 1921 2010 year 2011 journal The Computer ... Douglas was born on May 21, 1921 in London . At age eight, his family moved to Cromwell Road , near ... Museum . Douglas and his wife would go on to have two children, and at least two grandsons. During the London Blitz Blitz , in 1940 41, Douglas s Home Guard United Kingdom Home Guard Unit, C Company ... School of Mines , just the other side of Exhibition Road from the museums. Cambridge Douglas attended ... Machine or SSEM, nicknamed The Baby , which ran its first program June 21, 1948 . This gave Douglas ... Fellow of Trinity College, Cambridge , Douglas spends a year at the University of Illinois Computation ... Lane. Douglas set up the Computer Laboratory of the University of Leeds , and it was there that he ... of a national system for handling university admissions. Douglas was appointed a member ... 1972 . A. S. Douglas CBE Fellow of the Institute of Mathematics and its Applications . Member of the O.R. Society ... Communication. London School of Economics A S Douglas, CBE MA PhD Cantab BSc EstMan FBCS FIMA FRSA ... 21, 1921 Andrey Parker Writings Over 60 papers have been published by Professor Douglas covering topics ... Industries, and in the Printing Industry. Douglas, Alexander Shafto May 18, 1954 http hooke.lib.cam.ac.uk ... Lecture Delivered on 27 April 1972, by Alexander Shafto Douglas Publisher London School of Economics ... Computers in the Seventies , Alexander Sandy Douglas. Computer Networks, Volume 5, 1981, pp. ... and Problems , Alexander S. Douglas Sandy Douglas, Some Memories of EDSAC I 1950 1952 , IEEE ... more details
Port Douglas may mean Port Douglas, British Columbia , in Canada Port Douglas, Queensland , in Australia geodis de Port Douglas nl Port Douglas sv Port Douglas ... more details
Kate Douglas may refer to Catherine Douglas disambiguation Kate Douglas Wiggin Katie Douglas , American basketball player See also Katherine Douglas disambiguation hndis Douglas, Kate ... more details
The title of Baron Douglas , of Douglas, Lanarkshire Douglas in the Lanarkshire county of Lanark , has been created twice, once in the Peerage of Great Britain and once in the Peerage of the United Kingdom . The first creation was on 8 July 1790 for Archibald James Edward Douglas, MP for Forfar UK Parliament constituency Forfarshire . He was born Archibald Stewart, son of Drummond Stewart Baronets Sir John Stewart, 3rd Baronet of Grantully by his second wife Lady Jane Douglas, sister of Archibald Douglas, 1st Duke of Douglas . He had changed his name to Douglas in 1761 as heir to his uncle, but was disinherited by the Court of Session in 1767 and only confirmed in the estates by the House of Lords in 1769. This was known as the Douglas Cause . By his first wife Lady Lucy, daughter of William Graham, 2nd Duke of Montrose , he was father of the second and third Barons, the younger of whom served as MP for Lanarkshire UK Parliament constituency Lanarkshire . By his second wife Lady Frances, daughter of Francis Scott, Earl of Dalkeith , he was father of the fourth Baron. None of his sons had issue, so the Barony became extinct on the death of the fourth Baron, 6 April 1857. The second creation ... of Boughton by his wife Jane Margaret Douglas, daughter of the first Baron Douglas by his first wife Lucy Graham. Their son adopted the surname of Douglas Home in 1877 and succeeded as Baron Douglas and Earl of Home in 1888. The title is currently held by David Douglas Home, 15th Earl of Home and 5th Baron Douglas. Barons Douglas 1790 Archibald James Edward Douglas, 1st Baron Douglas 1748 &ndash 1827 Archibald Douglas, 2nd Baron Douglas 1773 &ndash 1844 Charles Douglas, 3rd Baron Douglas 1775 &ndash 1848 James Douglas, 4th Baron Douglas 1787 &ndash 1857 Barons Douglas 1875 Cospatrick Alexander Home, 11th Earl of Home 1799 &ndash 1881 Charles Alexander Douglas Home, 12th Earl of Home 1834 &ndash 1918 see Earl of Home for subsequent holders See also Douglas Castle References http www.leighrayment.com ... more details
Douglas Rodrigues or Rodr guez may refer to Douglas Rodrigues footballer , Brazilian footballer Douglas Rodr guez boxer , Cuban boxer hndis Rodrigues, Douglas ... more details
Jamie Douglas may refer to Jamie Douglas footballer , professional footballers Jamie Douglas song , traditional ballad hndis Douglas, Jamie ... more details
Charlotte Douglas may refer to Charlotte Douglas International Airport Charlotte Douglas author , co author of The Battle of Betazed Disambig ... more details
Douglas Fox may refer to Douglas Harold Fox , US Navy officer Charles Douglas Fox , British civil engineer known as Sir Douglas Fox hndis name Fox, Douglas ... more details
Douglas Kennedy may refer to Douglas Kennedy politician 1916 2003 , Canadian politician Douglas Kennedy writer born 1955 , American writer Douglas Kennedy actor 1915 1973 , American actor Douglas Harriman Kennedy born 1967 , American broadcast journalist hndis Kennedy, Douglas no Douglas Kennedy ... more details
Douglas County is the name of twelve counties in the United States, all of which are named for Stephen A. Douglas , a Senator from Illinois from 1847 to 1861 and the Democratic Party nominee for President in 1860 Douglas County, Colorado Douglas County, Georgia Douglas County, Illinois Douglas County, Kansas Douglas County, Minnesota Douglas County, Missouri Douglas County, Nebraska Douglas County, Nevada Douglas County, Oregon Douglas County, South Dakota Douglas County, Washington Douglas County, Wisconsin Category County name disambiguation pages Templates geodis Categories Interwiki cs Douglas County de Douglas County es Condado de Douglas fr Comt de Douglas it Contea di Douglas li Douglas County nl Douglas County ja no Douglas County nds Douglas County pl Hrabstwo Douglas pt Condado de Douglas ro Comitatul Douglas ru sv Douglas County zh ... more details
Douglas Township may refer to the following Township United States townships in the United States TOCright Illinois Douglas Township, Clark County, Illinois Douglas Township, Effingham County, Illinois Douglas Township, Iroquois County, Illinois Iowa Douglas Township, Adams County, Iowa Douglas Township, Appanoose County, Iowa Douglas Township, Audubon County, Iowa Douglas Township, Boone County, Iowa Douglas Township, Bremer County, Iowa Douglas Township, Clay County, Iowa Douglas Township, Harrison County, Iowa Douglas Township, Ida County, Iowa Douglas Township, Madison County, Iowa Douglas Township, Mitchell County, Iowa Douglas Township, Montgomery County, Iowa Douglas Township, Page County, Iowa Douglas Township, Polk County, Iowa Douglas Township, Sac County, Iowa Douglas Township, Shelby County, Iowa Douglas Township, Union County, Iowa Douglas Township, Webster County, Iowa Kansas Douglas Township, Jackson County, Kansas Douglas Township, Stafford County, Kansas Minnesota Douglas Township, Minnesota Nebraska Douglas Township, Saunders County, Nebraska North Dakota Douglas Township, McLean County, North Dakota Geodis de Douglas Township ... more details
Douglas Cooper may refer to Douglas Cooper art historian Douglas Cooper 1911 1984 , British art historian and collector Douglas Anthony Cooper born 1960 , Canada writer Douglas H. Cooper , American Civil War Confederate general hndis Cooper, Douglas ... more details
Bruce Douglas may refer to Bruce Douglas basketball Bruce Douglas rugby union See also Bruce Douglas Mann , British politician hndis name Douglas, Bruce Long comment to avoid being listed on short pages DEFAULTSORT Douglas, Bruce ... more details
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