This HTML5 document contains 53 embedded RDF statements represented using HTML+Microdata notation.

The embedded RDF content will be recognized by any processor of HTML5 Microdata.

Namespace Prefixes

PrefixIRI
dctermshttp://purl.org/dc/terms/
dbohttp://dbpedia.org/ontology/
foafhttp://xmlns.com/foaf/0.1/
n7https://global.dbpedia.org/id/
dbthttp://dbpedia.org/resource/Template:
rdfshttp://www.w3.org/2000/01/rdf-schema#
freebasehttp://rdf.freebase.com/ns/
dbpedia-fahttp://fa.dbpedia.org/resource/
rdfhttp://www.w3.org/1999/02/22-rdf-syntax-ns#
owlhttp://www.w3.org/2002/07/owl#
wikipedia-enhttp://en.wikipedia.org/wiki/
dbchttp://dbpedia.org/resource/Category:
dbphttp://dbpedia.org/property/
provhttp://www.w3.org/ns/prov#
xsdhhttp://www.w3.org/2001/XMLSchema#
wikidatahttp://www.wikidata.org/entity/
dbrhttp://dbpedia.org/resource/

Statements

Subject Item
dbr:Bloch's_theorem
dbo:wikiPageWikiLink
dbr:Independent_electron_approximation
Subject Item
dbr:Independent_electron_approximation
rdfs:label
Independent electron approximation
rdfs:comment
In condensed matter physics, the independent electron approximation is a simplification used in complex systems, consisting of many electrons, that approximates the electron-electron interaction in crystals as null. It is a requirement for both the free electron model and the nearly-free electron model, where it is used alongside Bloch's theorem. In quantum mechanics, this approximation is often used to simplify a quantum many-body problem into single-particle approximations.
dcterms:subject
dbc:Electron
dbo:wikiPageID
16086895
dbo:wikiPageRevisionID
1098225734
dbo:wikiPageWikiLink
dbr:Screening_effect dbc:Electron dbr:Condensed_matter_physics dbr:Atomic_number dbr:Bravais_lattice dbr:Hamiltonian_(quantum_mechanics) dbr:Cooper_pair dbr:Nearly-free_electron_model dbr:Elementary_charge dbr:Bloch's_theorem dbr:Quantum_mechanics dbr:Hartree-Fock_method dbr:Gradient dbr:Reduced_Planck's_constant dbr:Free_electron_model dbr:Electrons dbr:Density_functional_theory dbr:Coulomb_interaction dbr:Reciprocal_lattice dbr:Null_(mathematics) dbr:Many-body_problem dbr:Kinetic_energy_operator dbr:Superconductivity dbr:BCS_theory dbr:Electron_rest_mass dbr:Strongly_correlated_material
owl:sameAs
freebase:m.03qnsfm n7:4nSZi wikidata:Q6017492 dbpedia-fa:تقریب_الکترون_مستقل
dbp:wikiPageUsesTemplate
dbt:Short_description dbt:Reflist dbt:ISBN dbt:Citation_Needed dbt:AMO-physics-stub
dbo:abstract
In condensed matter physics, the independent electron approximation is a simplification used in complex systems, consisting of many electrons, that approximates the electron-electron interaction in crystals as null. It is a requirement for both the free electron model and the nearly-free electron model, where it is used alongside Bloch's theorem. In quantum mechanics, this approximation is often used to simplify a quantum many-body problem into single-particle approximations. While this simplification holds for many systems, electron-electron interactions may be very important for certain properties in materials. For example, the theory covering much of superconductivity is BCS theory, in which the attraction of pairs of electrons to each other, termed "Cooper pairs", is the mechanism behind superconductivity. One major effect of electron-electron interactions is that electrons distribute around the ions so that they screen the ions in the lattice from other electrons.
prov:wasDerivedFrom
wikipedia-en:Independent_electron_approximation?oldid=1098225734&ns=0
dbo:wikiPageLength
4195
foaf:isPrimaryTopicOf
wikipedia-en:Independent_electron_approximation
Subject Item
dbr:Index_of_physics_articles_(I)
dbo:wikiPageWikiLink
dbr:Independent_electron_approximation
Subject Item
dbr:Electric-field_screening
dbo:wikiPageWikiLink
dbr:Independent_electron_approximation
Subject Item
dbr:Free_electron_model
dbo:wikiPageWikiLink
dbr:Independent_electron_approximation
Subject Item
dbr:Free_electron
dbo:wikiPageWikiLink
dbr:Independent_electron_approximation
Subject Item
dbr:Nearly_free_electron_model
dbo:wikiPageWikiLink
dbr:Independent_electron_approximation
Subject Item
dbr:Translation_operator_(quantum_mechanics)
dbo:wikiPageWikiLink
dbr:Independent_electron_approximation
Subject Item
dbr:Photoemission_orbital_tomography
dbo:wikiPageWikiLink
dbr:Independent_electron_approximation
Subject Item
wikipedia-en:Independent_electron_approximation
foaf:primaryTopic
dbr:Independent_electron_approximation