Slater determinant

GPTKB entity

Statements (56)
Predicate Object
gptkbp:instance_of gptkb:language
gptkbp:applies_to gptkb:Physics
gptkbp:can_be_expanded_into permanents for bosons
gptkbp:can_be_generalized_to Slater products
gptkbp:constructed_in single-particle wave functions
gptkbp:describes antisymmetrization of wave functions
gptkbp:developed_by the properties of fermionic systems
the Hartree-Fock equations
gptkbp:ensures antisymmetry of the wave function
gptkbp:function N particles
https://www.w3.org/2000/01/rdf-schema#label Slater determinant
gptkbp:is_a_basis_for configuration interaction methods
gptkbp:is_a_crucial_concept_in gptkb:statistical_mechanics
gptkbp:is_a_key_component_of gptkb:quantum_field_theory
the electronic structure theory
gptkbp:is_a_mathematical_formulation_of the antisymmetrization process
gptkbp:is_a_mathematical_object_that encodes the symmetries of fermions
gptkbp:is_a_mathematical_representation_of fermionic systems
the wave function of fermions.
gptkbp:is_a_representation_of the antisymmetrized product of states
gptkbp:is_a_solution_for Schrödinger equation for fermions
gptkbp:is_a_tool_for analyzing quantum states
solving quantum many-body problems
gptkbp:is_analyzed_in the behavior of electrons in atoms
gptkbp:is_applicable_to gptkb:Quantum_Mechanics
gptkbp:is_defined_by a determinant of a matrix
gptkbp:is_essential_for understanding quantum entanglement
computational methods in physics
calculating electronic structure
understanding electron correlation
gptkbp:is_evaluated_by correlation energy
gptkbp:is_fundamental_to gptkb:Quantum_Mechanics
quantum statistics
gptkbp:is_related_to gptkb:Fermi-Dirac_statistics
Pauli exclusion principle
the concept of indistinguishable particles
determinants in linear algebra
gptkbp:is_represented_in the ground state of many-electron systems
|Ψ⟩
gptkbp:is_used_in density functional theory
Hartree-Fock method
quantum Monte Carlo methods
many-body quantum theory
the study of condensed matter physics
gptkbp:is_utilized_in computational quantum chemistry
gptkbp:key_concept gptkb:Physics
many-body physics
gptkbp:made_of a matrix of single-particle states
gptkbp:model atomic and molecular systems
gptkbp:named_after gptkb:Julian_Slater
gptkbp:represents multiple electron states
gptkbp:technique constructing many-body wave functions
gptkbp:type_of gptkb:wave_function
gptkbp:used_in gptkb:Quantum_Mechanics
gptkbp:bfsParent gptkb:John_C._Slater
gptkbp:bfsLayer 7