Slater determinant

E645110

antisymmetric wavefunction fermionic wavefunction many-electron wavefunction mathematical object in quantum mechanics tool in atomic physics tool in quantum chemistry

A Slater determinant is an antisymmetrized many-electron wavefunction constructed from single-particle orbitals that enforces the Pauli exclusion principle in quantum chemistry and atomic physics.

Try in SPARQL Jump to: Statements Referenced by

Statements (49)

Predicate	Object
instanceOf	antisymmetric wavefunction ⓘ fermionic wavefunction ⓘ many-electron wavefunction ⓘ mathematical object in quantum mechanics ⓘ tool in atomic physics ⓘ tool in quantum chemistry ⓘ
appliesTo	many-electron atoms ⓘ molecules ⓘ solids in independent-electron approximations ⓘ systems of identical fermions ⓘ
assumes	electrons move independently in an effective mean field ⓘ
basisFor	multi-determinant wavefunction expansions ⓘ single-determinant Hartree–Fock approximation ⓘ
belongsTo	fermionic Fock space ⓘ
constructedFrom	one-electron orbitals ⓘ single-particle spin-orbitals ⓘ
differsFrom	Hartree product by antisymmetrization ⓘ
enforces	Pauli exclusion principle NERFINISHED ⓘ
ensures	orthogonality of states built from orthonormal orbitals ⓘ proper antisymmetry of fermionic wavefunction ⓘ
generalizes	two-electron antisymmetric singlet wavefunction ⓘ
hasComponent	spatial orbitals ⓘ spin degrees of freedom ⓘ
hasMathematicalForm	1/sqrt(N!) times determinant of orbital matrix for N electrons ⓘ determinant of a matrix of spin-orbitals evaluated at electron coordinates ⓘ
hasProperty	antisymmetric under exchange of any two electrons ⓘ changes sign under particle exchange ⓘ vanishes when two electrons occupy the same spin-orbital ⓘ
introducedBy	John C. Slater NERFINISHED ⓘ
introducedInField	atomic physics ⓘ quantum chemistry ⓘ
namedAfter	John C. Slater NERFINISHED ⓘ
relatedTo	Hartree product NERFINISHED ⓘ
represents	approximate ground-state wavefunction ⓘ excited-state wavefunction ⓘ fermionic Fock state in first quantization ⓘ independent-particle model of electrons ⓘ
usedAs	basis function in configuration interaction expansions ⓘ reference state in Hartree–Fock theory ⓘ trial wavefunction in quantum Monte Carlo ⓘ trial wavefunction in variational calculations ⓘ
usedIn	Hartree–Fock method NERFINISHED ⓘ configuration interaction ⓘ molecular electronic structure theory ⓘ multi-configurational self-consistent field ⓘ n-electron atomic structure calculations ⓘ nuclear shell model ⓘ quantum Monte Carlo methods ⓘ second quantization formalism ⓘ

Referenced by (1)

Full triples — surface form annotated when it differs from this entity's canonical label.

Hartree–Fock method → usesConcept → Slater determinant ⓘ