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- Darwin_Lagrangian abstract "The Darwin Lagrangian (named after Charles Galton Darwin, grandson of the biologist) describes the interaction to order between two charged particles in a vacuum and is given bywhere the free particle Lagrangian isand the interaction Lagrangian iswhere the Coulomb interaction isand the Darwin interaction isHere q1 and q2 are the charges on particles 1 and 2 respectively, m1 and m2 are the masses of the particles, v1 and v2 are the velocities of the particles, c is the speed of light, r is the vector between the two particles, and is the unit vector in the direction of r. The free Lagrangian is the Taylor expansion of free Lagrangian of two relativistic particles to second order in v. The Darwin interaction term is due to one particle reacting to the magnetic field generated by the other particle. If higher-order terms in v/c are retained, then the field degrees of freedom must be taken into account, and the interaction can no longer be taken to be instantaneous between the particles. In that case retardation effects must be accounted for.".
- Darwin_Lagrangian wikiPageID "28365660".
- Darwin_Lagrangian wikiPageRevisionID "579161122".
- Darwin_Lagrangian hasPhotoCollection Darwin_Lagrangian.
- Darwin_Lagrangian subject Category:Concepts_in_physics.
- Darwin_Lagrangian subject Category:Magnetostatics.
- Darwin_Lagrangian type Abstraction100002137.
- Darwin_Lagrangian type Cognition100023271.
- Darwin_Lagrangian type Concept105835747.
- Darwin_Lagrangian type Content105809192.
- Darwin_Lagrangian type FundamentalPhysicsConcepts.
- Darwin_Lagrangian type Idea105833840.
- Darwin_Lagrangian type PsychologicalFeature100023100.
- Darwin_Lagrangian comment "The Darwin Lagrangian (named after Charles Galton Darwin, grandson of the biologist) describes the interaction to order between two charged particles in a vacuum and is given bywhere the free particle Lagrangian isand the interaction Lagrangian iswhere the Coulomb interaction isand the Darwin interaction isHere q1 and q2 are the charges on particles 1 and 2 respectively, m1 and m2 are the masses of the particles, v1 and v2 are the velocities of the particles, c is the speed of light, r is the vector between the two particles, and is the unit vector in the direction of r. ".
- Darwin_Lagrangian label "Darwin Lagrangian".
- Darwin_Lagrangian sameAs m.0crgtw5.
- Darwin_Lagrangian sameAs Q3813294.
- Darwin_Lagrangian sameAs Q3813294.
- Darwin_Lagrangian sameAs Darwin_Lagrangian.
- Darwin_Lagrangian wasDerivedFrom Darwin_Lagrangian?oldid=579161122.
- Darwin_Lagrangian isPrimaryTopicOf Darwin_Lagrangian.