In quantum mechanics, a Slater determinant is an expression that describes the wave function of a multi-fermionic system. It satisfies anti-symmetry requirements...
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form. Mathematics portal Cauchy determinant Cayley–Menger determinant Dieudonné determinant Slater determinant Determinantal conjecture Lang 1985, §VII.1...
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derive the Hartree equations. In 1930 Fock and Slater independently then used the Slater determinant instead of the Hartree product for the wave function...
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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...
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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...
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Vandermonde matrix (redirect from Determinant of the Vandermonde matrix)
effect, the Vandermonde determinant shows that the Laughlin wavefunction with filling factor 1 is equal to a Slater determinant. This is no longer true...
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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...
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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...
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chemistry, the Slater–Condon rules express integrals of one- and two-body operators over wavefunctions constructed as Slater determinants of orthonormal...
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this Slater determinant, that is, the individual wavefunctions of the nucleons. To this end, it is assumed that the total wavefunction (the Slater determinant)...
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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...
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state function (CSF), is a symmetry-adapted linear combination of Slater determinants. A CSF must not be confused with a configuration. In general, one...
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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...
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excited Slater determinants. (Singly excited Slater determinants do not contribute because of the Brillouin theorem). After application of the Slater–Condon...
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{\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 (...
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all Slater determinants (or configuration state functions, CSFs) of the proper symmetry are included in the variational procedure (i.e., all Slater determinants...
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Mathematically, configuration simply describes the linear combination of Slater determinants used for the wave function. In terms of a specification of orbital...
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other electrons. Mathematically, configurations are described by Slater determinants or configuration state functions. According to the laws of quantum...
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many-body wavefunction using the Hartree–Fock wavefunction, i.e. a single Slater determinant composed of orbitals that are the eigenfunctions of the corresponding...
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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...
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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...
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by a single Slater determinant. Exact wave functions, however, cannot generally be expressed as single determinants. The single-determinant approximation...
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model is the currently accepted mechanism. Double-exchange mechanism Slater determinant Superexchange Holstein–Herring method Spin-exchange interaction Multipolar...
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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...
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theories, the wave function is typically represented as a single Slater determinant constructed from N {\displaystyle N} orbitals, φ k {\displaystyle...
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_{0}\rangle } is the reference wave function, which is typically a Slater determinant constructed from Hartree–Fock molecular orbitals, though other wave...
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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...
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Hartree–Fock method. The Slater determinant and permanent (of a matrix) was part of the method, provided by John C. Slater. Schrödinger did encounter...
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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...
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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...
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