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- Dirac_operator abstract "In mathematics and quantum mechanics, a Dirac operator is a differential operator that is a formal square root, or half-iterate, of a second-order operator such as a Laplacian. The original case which concerned Paul Dirac was to factorise formally an operator for Minkowski space, to get a form of quantum theory compatible with special relativity; to get the relevant Laplacian as a product of first-order operators he introduced spinors. In general, let D be a first-order differential operator acting on a vector bundle V over a Riemannian manifold M. If where ∆ is the Laplacian of V, then D is called a Dirac operator.In high-energy physics, this requirement is often relaxed: only the second-order part of D2 must equal the Laplacian.".
- Dirac_operator wikiPageExternalLink s086780.htm.
- Dirac_operator wikiPageID "1079448".
- Dirac_operator wikiPageRevisionID "562288163".
- Dirac_operator hasPhotoCollection Dirac_operator.
- Dirac_operator subject Category:Differential_operators.
- Dirac_operator subject Category:Mathematical_physics.
- Dirac_operator subject Category:Quantum_mechanics.
- Dirac_operator type Abstraction100002137.
- Dirac_operator type DifferentialOperators.
- Dirac_operator type Function113783816.
- Dirac_operator type MathematicalRelation113783581.
- Dirac_operator type Operator113786413.
- Dirac_operator type Relation100031921.
- Dirac_operator comment "In mathematics and quantum mechanics, a Dirac operator is a differential operator that is a formal square root, or half-iterate, of a second-order operator such as a Laplacian. The original case which concerned Paul Dirac was to factorise formally an operator for Minkowski space, to get a form of quantum theory compatible with special relativity; to get the relevant Laplacian as a product of first-order operators he introduced spinors.".
- Dirac_operator label "Dirac operator".
- Dirac_operator label "Dirac-Operator".
- Dirac_operator label "Dirac-operator".
- Dirac_operator sameAs Dirac-Operator.
- Dirac_operator sameAs 디랙_연산자.
- Dirac_operator sameAs Dirac-operator.
- Dirac_operator sameAs m.0445pv.
- Dirac_operator sameAs Q907439.
- Dirac_operator sameAs Q907439.
- Dirac_operator sameAs Dirac_operator.
- Dirac_operator wasDerivedFrom Dirac_operator?oldid=562288163.
- Dirac_operator isPrimaryTopicOf Dirac_operator.