• In quantum mechanics, a Slater determinant is an expression that describes the wave function of a multi-fermionic system. It satisfies anti-symmetry requirements...
    14 KB (2,550 words) - 17:58, 21 September 2024
  • form. Mathematics portal Cauchy determinant Cayley–Menger determinant Dieudonné determinant Slater determinant Determinantal conjecture Lang 1985, §VII.1...
    90 KB (14,257 words) - 14:49, 2 October 2024
  • derive the Hartree equations. In 1930 Fock and Slater independently then used the Slater determinant instead of the Hartree product for the wave function...
    12 KB (2,264 words) - 17:49, 27 April 2024
  • N-body wave function of the system can be approximated by a single Slater determinant (in the case where the particles are fermions) or by a single permanent...
    31 KB (4,730 words) - 17:08, 7 October 2024
  • Thumbnail for John C. Slater
    by that university. Slater's name is part of the terms Bohr-Kramers-Slater theory, Slater determinant and Slater orbital. Slater's father, born in Virginia...
    67 KB (8,017 words) - 08:12, 12 September 2024
  • effect, the Vandermonde determinant shows that the Laughlin wavefunction with filling factor 1 is equal to a Slater determinant. This is no longer true...
    21 KB (4,619 words) - 17:25, 9 October 2024
  • Look up Slater or slater in Wiktionary, the free dictionary. A slater is a tradesperson who works with slate. Slater may also refer to: Slater Brothers...
    4 KB (515 words) - 02:43, 27 March 2024
  • Antisymmetrizer (category Determinants)
    ,N)=\psi _{n_{1}}(1)\psi _{n_{2}}(2)\cdots \psi _{n_{N}}(N)} the Slater determinant is created by the antisymmetrizer operating on the product of spin-orbitals...
    13 KB (2,774 words) - 21:11, 31 August 2024
  • chemistry, the Slater–Condon rules express integrals of one- and two-body operators over wavefunctions constructed as Slater determinants of orthonormal...
    7 KB (1,255 words) - 09:35, 2 July 2024
  • Thumbnail for Nuclear structure
    this Slater determinant, that is, the individual wavefunctions of the nucleons. To this end, it is assumed that the total wavefunction (the Slater determinant)...
    33 KB (4,580 words) - 00:42, 14 December 2023
  • Theory has been researched), the Kohn–Sham wavefunction is a single Slater determinant constructed from a set of orbitals that are the lowest-energy solutions...
    7 KB (1,013 words) - 03:52, 5 November 2023
  • state function (CSF), is a symmetry-adapted linear combination of Slater determinants. A CSF must not be confused with a configuration. In general, one...
    13 KB (1,690 words) - 01:32, 1 October 2024
  • Thumbnail for Ionization energy
    function of an atom (or molecule) is a Slater determinant or a linear combination of a few Slater determinants" Levine 1991, pp. 290–291. Levine 1991...
    52 KB (5,903 words) - 05:19, 12 September 2024
  • excited Slater determinants. (Singly excited Slater determinants do not contribute because of the Brillouin theorem). After application of the Slater–Condon...
    23 KB (2,870 words) - 20:17, 25 November 2023
  • {\displaystyle \psi _{1}=\psi _{1}(x),\ldots ,\psi _{n}=\psi _{n}(x)} , the Slater determinant Ψ ( x 1 , … x n ) = 1 n ! | ψ 1 ( x 1 ) ⋯ ψ n ( x 1 ) ⋮ ⋱ ⋮ ψ 1 (...
    16 KB (2,903 words) - 01:56, 31 December 2023
  • all Slater determinants (or configuration state functions, CSFs) of the proper symmetry are included in the variational procedure (i.e., all Slater determinants...
    5 KB (513 words) - 15:01, 14 September 2022
  • Mathematically, configuration simply describes the linear combination of Slater determinants used for the wave function. In terms of a specification of orbital...
    6 KB (841 words) - 15:26, 5 August 2019
  • Thumbnail for Electron configuration
    other electrons. Mathematically, configurations are described by Slater determinants or configuration state functions. According to the laws of quantum...
    60 KB (6,147 words) - 04:46, 30 September 2024
  • many-body wavefunction using the Hartree–Fock wavefunction, i.e. a single Slater determinant composed of orbitals that are the eigenfunctions of the corresponding...
    24 KB (2,894 words) - 05:33, 25 October 2023
  • relatively easy to solve, as the wavefunction can be represented as a Slater determinant of orbitals. Further, the kinetic energy functional of such a system...
    79 KB (10,568 words) - 08:40, 9 October 2024
  • determinant is called the Slater determinant.[citation needed] If any of the single particle states are the same, two rows of the Slater determinant would...
    30 KB (5,633 words) - 14:50, 24 May 2024
  • by a single Slater determinant. Exact wave functions, however, cannot generally be expressed as single determinants. The single-determinant approximation...
    12 KB (1,541 words) - 09:50, 28 February 2024
  • model is the currently accepted mechanism. Double-exchange mechanism Slater determinant Superexchange Holstein–Herring method Spin-exchange interaction Multipolar...
    26 KB (3,442 words) - 02:55, 22 September 2024
  • many-particle state requiring a more complicated description (such as a Slater determinant). In particular, in a many-electron molecule, an orbital is not the...
    10 KB (1,181 words) - 23:13, 13 July 2024
  • theories, the wave function is typically represented as a single Slater determinant constructed from N {\displaystyle N} orbitals, φ k {\displaystyle...
    16 KB (2,301 words) - 07:52, 1 May 2024
  • _{0}\rangle } is the reference wave function, which is typically a Slater determinant constructed from Hartree–Fock molecular orbitals, though other wave...
    28 KB (4,353 words) - 18:46, 19 July 2024
  • one to develop a set of Slater determinants for the description of the wavefunction as a linear combination of these determinants. Based on the freedom...
    2 KB (250 words) - 08:18, 28 June 2024
  • Thumbnail for Wave function
    Hartree–Fock method. The Slater determinant and permanent (of a matrix) was part of the method, provided by John C. Slater. Schrödinger did encounter...
    99 KB (13,547 words) - 12:29, 18 August 2024
  • matrix is a function of the matrix similar to the determinant. The permanent, as well as the determinant, is a polynomial in the entries of the matrix. Both...
    27 KB (4,508 words) - 06:01, 10 May 2024
  • satisfies the Pauli exclusion principle such as a Slater determinant (or linear combination of Slater determinants), and it can be shown that if two electrons...
    16 KB (2,095 words) - 16:07, 25 January 2024