About: Dirac equation in curved spacetime

Property	Value
dbo:abstract	In mathematical physics, the Dirac equation in curved spacetime is a generalization of the Dirac equation from flat spacetime (Minkowski space) to curved spacetime, a general Lorentzian manifold. (en) 在数学物理中，弯曲时空中的狄拉克方程（英文：the Dirac equation in curved spacetime）指的是将原始的狄拉克方程推广至弯曲时空的情形后得到的方程。该方程可以通过与引力自旋联络写出，标架场给出了一个定域的静止系，使得恒定的狄拉克矩阵可以作用于每一个时空点。这样一来，弯曲时空中的狄拉克方程就可以写作如下形式：其中eaμ为标架场，Dμ为狄拉克场对应的共变导数，其定义如下这里σab 为狄拉克矩阵的交换子：且ωμab 为自旋联络组件。注意到此处拉丁字母角标表示的是洛伦兹标架，希腊字母角标则对应流形坐标。 (zh)
dbo:wikiPageExternalLink	http://www.actaphys.uj.edu.pl/fulltext%3Fseries=Reg&vol=41&page=1827 https://books.google.com/books%3Fid=5nNuGMBBTjMC&q=L.+Parker,+D.+Toms+%282009%29.+Quantum+Field+Theory+in+Curved+Spacetime:+Quantized+Fields+and+Gravity%7Cisbn=978-0-521-877-879 https://books.google.com/books%3Fid=T8Fde0u_XyIC&dq=Dirac+equation+in+curved+spacetime&pg=PA117%7Cisbn=978-0-521-883-467 https://books.google.com/books%3Fid=Zo5_3cmtFEUC&dq=Dirac+equation+in+curved+spacetime&pg=PA223%7Cisbn=0-521-377-684
dbo:wikiPageID	39171284 (xsd:integer)
dbo:wikiPageLength	13652 (xsd:nonNegativeInteger)
dbo:wikiPageRevisionID	1099951143 (xsd:integer)
dbo:wikiPageWikiLink	dbc:Spinors dbr:Volume_form dbc:Quantum_field_theory dbr:Gamma_matrices dbr:Minkowski_space dbr:Connection_(principal_bundle) dbr:Levi-Civita_connection dbr:Mathematical_physics dbr:Maxwell's_equations_in_curved_spacetime dbr:Spin_connection dbr:Two-body_Dirac_equations dbr:Affine_connection dbr:Erwin_Schrödinger dbc:Dirac_equation dbr:Dirac_operator dbr:Dirac_spinor dbr:Dirac–Kähler_equation dbr:Frame_bundle dbr:Frame_fields_in_general_relativity dbr:Covariant_derivative dbc:Partial_differential_equations dbr:Abstract_index_notation dbr:Laplace_operator dbr:Dirac_equation dbc:Fermions dbr:Manifold dbr:Klein–Gordon_equation dbr:Raising_and_lowering_indices dbr:Lorentz_covariance dbr:Section_(fiber_bundle) dbr:Dirac_equation_in_the_algebra_of_physical_space dbr:Vierbein
dbp:backgroundColour	#ECFCF4 (en)
dbp:borderColour	#50C878 (en)
dbp:indent	: (en)
dbp:title	Dirac action on curved spacetime (en) Dirac equation on curved spacetime (en)
dbp:wikiPageUsesTemplate	dbt:Cite_book dbt:Cite_journal dbt:Equation_box_1 dbt:Main dbt:Quantum-stub dbt:Reflist dbt:Relativity-stub dbt:See_also dbt:Short_description dbt:Quantum_field_theory
dcterms:subject	dbc:Spinors dbc:Quantum_field_theory dbc:Dirac_equation dbc:Partial_differential_equations dbc:Fermions
rdf:type	owl:Thing yago:WikicatPartialDifferentialEquations yago:Abstraction100002137 yago:Communication100033020 yago:DifferentialEquation106670521 yago:Equation106669864 yago:MathematicalStatement106732169 yago:Message106598915 yago:PartialDifferentialEquation106670866 yago:Statement106722453
rdfs:comment	In mathematical physics, the Dirac equation in curved spacetime is a generalization of the Dirac equation from flat spacetime (Minkowski space) to curved spacetime, a general Lorentzian manifold. (en) 在数学物理中，弯曲时空中的狄拉克方程（英文：the Dirac equation in curved spacetime）指的是将原始的狄拉克方程推广至弯曲时空的情形后得到的方程。该方程可以通过与引力自旋联络写出，标架场给出了一个定域的静止系，使得恒定的狄拉克矩阵可以作用于每一个时空点。这样一来，弯曲时空中的狄拉克方程就可以写作如下形式：其中eaμ为标架场，Dμ为狄拉克场对应的共变导数，其定义如下这里σab 为狄拉克矩阵的交换子：且ωμab 为自旋联络组件。注意到此处拉丁字母角标表示的是洛伦兹标架，希腊字母角标则对应流形坐标。 (zh)
rdfs:label	Dirac equation in curved spacetime (en) 弯曲时空中的狄拉克方程 (zh)
rdfs:seeAlso	dbr:Representation_theory_of_the_Lorentz_group dbr:Dirac_algebra
owl:sameAs	freebase:Dirac equation in curved spacetime yago-res:Dirac equation in curved spacetime wikidata:Dirac equation in curved spacetime dbpedia-fa:Dirac equation in curved spacetime dbpedia-zh:Dirac equation in curved spacetime https://global.dbpedia.org/id/edHn
prov:wasDerivedFrom	wikipedia-en:Dirac_equation_in_curved_spacetime?oldid=1099951143&ns=0
foaf:isPrimaryTopicOf	wikipedia-en:Dirac_equation_in_curved_spacetime
is dbo:wikiPageWikiLink of	dbr:Spin_connection dbr:Dirac_matter dbr:Dirac–Kähler_equation dbr:Frame_fields_in_general_relativity dbr:Tetrad_formalism dbr:Dirac_equation dbr:List_of_things_named_after_Paul_Dirac dbr:Vasiliev_equations
is foaf:primaryTopic of	wikipedia-en:Dirac_equation_in_curved_spacetime