Douglas Rayner Hartree PhD , Fellow of the Royal Society FRS 27 March 1897 12 February 1958 was an English ... 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 , England ... G. title Douglas Rayner Hartree journal Biographical Memoirs of Fellows of the Royal Society volume .... G. L. Michel center, DouglasHartree right Phyllis Lockett Nicolson . Problems were submitted to the group ... title Douglas Rayner Hartree His life in science and computing origdate origyear origmonth url format ... are used in physical constants Persondata Metadata see Wikipedia Persondata . NAME Hartree, Douglas ... 1958 PLACE OF DEATH DEFAULTSORT Hartree, Douglas Category Fellows of the Royal Society Category ... Hartree fr DouglasHartree id DouglasHartree it DouglasHartree ht DouglasHartree lt Douglas Rayner Hartree nl DouglasHartree pt DouglasHartree ru , sk Douglas Rayner Hartree sl Douglas Rayner Hartree ... William Hartree, partner of John Penn engineer John Penn ref Richard Hartree, John Penn and Sons .... After the end of World War I, Hartree returned to Cambridge graduating in 1922 with a British undergraduate ... structure calculations In 1921, a visit by Niels Bohr to Cambridge inspired Douglas to apply his numerical ..., Douglas was able to apply his knowledge of differential equations and numerical analysis to the new introduction to quantum mechanics quantum theory . He derived the Hartree equation s for the distribution ... 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 ... in collaboration with Metropolitan Vickers . The first application of the machine reflected Hartree ... 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 2010 CODATA recommended value is E sub h sub nowrap 4.359 744 34 10 e 18 J . 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 4.359 743 94 22 e 18 J 27.211 383 86 68 eV 2625.499 62 kJ Mole unit mol 627.509 469 kilocalorie per mole kcal mol 219 474.631 3705 15 cm sup 1 sup 6 579.683 920 729 33 THz 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 ... 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 ru uk ... 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 DEFAULTSORT Hartree, Cape Category Headlands of the South Orkney Islands SouthOrkneys geo stub ... more details
Unreferenced date April 2011 The Hartree product is a system many particle wavefunction, given as a combination of wavefunctions of the individual particle wavefunctions. It is inherently mean field assumes the particles are independent and is the unsymmetrized version of the Slater determinant ansatz in the Hartree Fock method . For two particles, math Psi mathbf x 1, mathbf x 2 chi 1 mathbf x 1 chi 2 mathbf x 2 . math This is not satisfactory for fermions , such as electrons, because the resulting wave function is not antisymmetric. An antisymmetric wave function can be mathematically described using the Slater determinant . Category Electronic structure methods Category Quantum chemistry Category Theoretical chemistry Category Computational chemistry ... more details
the derivation of the Schr dinger equation in 1926. In 1927 DouglasHartree D. R. Hartree introduced ... 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 ... of better reproducing the experimental data. Hartree sought to do away with empirical parameters ... 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 empirical elements, and its ... John C. Slater J. C. Slater and J. A. Gaunt independently showed that the Hartree method could be couched ... 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 principle in its older formulation ... is a suitable ansatz for applying the variational principle . The original Hartree method can then be viewed ... to understand and implement. In 1935 Hartree reformulated the method more suitably for the purposes ... demands over the early Hartree method and empirical models. Initially, both the Hartree method ... two approximations give rise to many so called post Hartree&ndash Fock methods. Image Hartree Fock.png ... of the calculated and immediately preceding wave function. A clever dodge, employed by Hartree, for atomic ... 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 Fock ... 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 ... ll 1 math , so we can neglect the math Z math terms in the equation. The Appleton Hartree equation ... plasma, the Appleton Hartree equation becomes, math n 2 1 frac X 1 frac frac 1 2 Y 2 sin 2 ... div See also Plasma physics Waves in plasmas List of plasma physics articles DEFAULTSORT Appleton Hartree ... more details
In computational chemistry , post Hartree Fock ref cite book last Cramer first Christopher J. title Essentials of Computational Chemistry publisher John Wiley & Sons year 2002 isbn 0 470 09182 1 ref ref cite book last Jensen first Frank title 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 ... important. As a result, the term post Hartree Fock method is typically used for methods of approximating the electron correlation of a system. Usually, 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 interaction CI ref cite journal title Analytical ... ref . etc. Related methods Methods that use more than one determinant are not strictly post Hartree ... Wiley & 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
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
wiktionarypar DouglasDouglas may refer to TOC right 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 Lord Douglas disambiguation , for holders of various titles Places Australia Douglas, Queensland Canada Douglas, New Brunswick Douglas, Ontario , a community in Admaston Bromley township England River Douglas Lancashire Falkland Islands Douglas, Falkland Islands Ireland Douglas, Cork Isle of Man Douglas, Isle of Man , the capital of the dependency, and seat of the House of Keys New Zealand Douglas, Taranaki Douglas, Canterbury Northern Ireland Douglas, County Antrim , a List of townlands in County Antrim townland in County Antrim South Africa Douglas, Northern Cape Scotland Castle Douglas , Dumfries and Galloway Douglas, South Lanarkshire Douglas Castle , South Lanarkshire Douglas Water , Lanarkshire Glen Douglas , Argyll and Bute United States Douglas, Alabama Douglas, Alaska Douglas, Arizona Douglas, Georgia Douglas, Chicago , Illinois Douglas, Indiana Douglas, Massachusetts Douglas, Michigan Douglas, Nebraska Douglas, North Dakota Douglas, Oklahoma Douglas, Wisconsin , a town Douglas Center, Wisconsin , an unincorporated community 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 ... s 1 Saturday Morning Douglas play Douglas play , an 18th century tragedy by John Home Douglas film Douglas film , a 1970 Norwegian film directed by P l Bang Hansen Plants The Douglas Iris , a wildflower The Douglas fir , the common name for a type of coniferous tree Sports The Douglas GAA , a Gaelic ... more details
Cleanup date October 2009 Infobox scientist name Alexander Sandy Shafto Douglas image image size caption ... Shafto Douglas CBE 21 May 1921 29 April 2010 was a Great Britain British professor of computer science ... url http books.google.com books?id E4 pXc IEtsC&pg PA538&dq Alexander Sandy Douglas Noughts and Crosses&ei ... and Crosses game , http www.pong 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 ... bxq054 ref Biography Early life Douglas was born on May 21, 1921 in London . At age eight, his family ... In the winter of 1938 39, Douglas and his future wife Andrey Parker made a snowman in the grounds of the Natural History 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 .... Cambridge Douglas attended the University of Cambridge in 1950. In 1952, while working towards earning ..., 1948 . This gave Douglas the perfect opportunity to prove his findings by programming the code for a simple ... Elected as a Prize Fellow of Trinity College, Cambridge , Douglas spends a year at the University ... Chapel on Woodhouse Lane. Douglas set up the Computer Laboratory of the University of Leeds , and it was there that he ... Party to explore the creation of a national system for handling university admissions. Douglas was appointed ... President 1971 1972 . A. S. Douglas CBE Fellow of the Institute of Mathematics and its Applications ... Council for Computer Communication. London School of Economics A S Douglas, CBE MA PhD Cantab BSc EstMan ... Douglas covering topics in Atomic Physics, Crystallography, Solution of Differential Equations, Computer ... and Transportation Industries, and in the Printing Industry. Douglas, Alexander Shafto May 18 ... an Inaugural Lecture Delivered on 27 April 1972, by Alexander Shafto Douglas Publisher London ... Journal, October 1970 Computers in the Seventies , Alexander Sandy Douglas. Computer Networks, Volume ... 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
Douglas County is any 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 Templates geodis uscounty 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 uk zh ... 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
Jamie Douglas may refer to Jamie Douglas footballer , professional footballer Jamie Douglas song , traditional ballad See also James Douglas disambiguation 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
DouglasDouglas Hamilton DouglasDouglas Hamilton, 8th Duke of Hamilton 1756 1799 DouglasDouglas Hamilton, 14th Duke of Hamilton 1903 1973 See also Douglas Hamilton disambiguation Douglas Hamilton hndis Douglas Hamilton, Douglas ja ... more details
Douglas Glover may refer to Douglas Glover UK politician , British politician Douglas Glover writer born 1948 , Canadian writer presently living in New York state hndis name Glover, Douglas DEFAULTSORT Glober, Douglas fr Douglas Glover ... more details
Bruce Douglas may refer to Bruce Douglas basketball Bruce Douglas rugby union See also Bruce Douglas Mann , British politician Douglas Bruce disambiguation Douglas surname hndis name Douglas, Bruce Long comment to avoid being listed on short pages DEFAULTSORT Douglas, Bruce ... more details
Alan Douglas or Allan Douglas may refer to Alan Douglas journalist born 1951 , Scottish journalist and former broadcaster Alan Douglas record producer , owner of Douglas Records, worked with Miles Davis and Jimi Hendrix Allan Douglas born 1958 , Bermudian cricketer hndis Douglas, Alan DEFAULTSORT Douglas, Alan ... 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
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