Definition
The electromagnetic tensor can be defined using the electromagnetic four-potential:
and its covariant form is found by multiplying by the Minkowski metric η of signature (+,−,−,−) :
where A is the vector potential, ϕ is the scalar potential and c is the speed of light.
The Electric and magnetic fields can be expressed in terms of A and ϕ by:
By definition, the electromagnetic tensor is the exterior derivative of the differential 1-form :
therefore F is a differential 2-form on spacetime. In an inertial frame, the matrices of F read:
and by lowering indices
Read more about this topic: Electromagnetic Tensor
Famous quotes containing the word definition:
“Its a rare parent who can see his or her child clearly and objectively. At a school board meeting I attended . . . the only definition of a gifted child on which everyone in the audience could agree was mine.”
—Jane Adams (20th century)
“It is very hard to give a just definition of love. The most we can say of it is this: that in the soul, it is a desire to rule; in the spirit, it is a sympathy; and in the body, it is but a hidden and subtle desire to possessafter many mysterieswhat one loves.”
—François, Duc De La Rochefoucauld (16131680)
“Im beginning to think that the proper definition of Man is an animal that writes letters.”
—Lewis Carroll [Charles Lutwidge Dodgson] (18321898)