### Eigenvector

An eigenvector of a linear transformation (operator) is a nonzero vector that changes at most by a scalar factor when that linear transformation is applied to it.

##### Explanation

In applications in the natural sciences the eigenvector, which belongs to an eigenvalue, is also called an eigenstate because it concerns a special state of the described system.

##### Additional information

The use of the prefix "eigen-" for characteristic quantities can be traced back to a 1904 publication by David Hilbert.