Conjugate variables: Difference between revisions

Revision as of 03:19, 28 August 2020

Revision as of 21:46, 27 September 2020

Line 17:

* The ''[[linear momentum]]'' of a particle is the derivative of its action with respect to its ''[[position (vector)|position]]''.

* The ''[[angular momentum]]'' of a particle is the derivative of its action with respect to its ''[[orientation (geometry)|orientation]]'' (angular position).

* The ''mass-moment'' ('''p'''''<math>\mathbf{N}=t''\mathbf{p}-''E'''''x'''\mathbf{r}</math>) of a particle is the negative of the derivative of its action with respect to its ''[[rapidity]]''.

* The ''[[electric potential]]'' (φ, [[voltage]]) at an event is the negative of the derivative of the action of the electromagnetic field with respect to the density of (free) ''[[electric charge]]'' at that event. {{citation needed|date=April 2013}}

* The ''[[Magnetic vector potential|magnetic potential]]'' ('''A''') at an event is the derivative of the action of the electromagnetic field with respect to the density of (free) ''[[electric current]]'' at that event. {{citation needed|date=April 2013}}