Translation operator
Encyclopedia
The translation operator can refer to these things:
- A shift operatorShift operatorIn mathematics, and in particular functional analysis, the shift operator or translation operator is an operator that takes a function to its translation . In time series analysis, the shift operator is called the lag operator....
, which effects a geometric translation. See also Translation (geometry)Translation (geometry)In Euclidean geometry, a translation moves every point a constant distance in a specified direction. A translation can be described as a rigid motion, other rigid motions include rotations and reflections. A translation can also be interpreted as the addition of a constant vector to every point, or...
. - An alternative name for the displacement operator in quantum optics.