mechanics, the position operator is the operator that corresponds to the position observable of a particle. When the position operator is considered with...

mechanics, the momentum operator is the operator associated with the linear momentum. The momentum operator is, in the position representation, an example...

In quantum mechanics, a translation operator is defined as an operator which shifts particles and fields by a certain amount in a certain direction. It...

eigenfunctions of the position operator as a set of basis functions, one speaks of a state as a wave function ψ(r) in position space (our ordinary notion...

a tensor operator generalizes the notion of operators which are scalars and vectors. A special class of these are spherical tensor operators which apply...

"Smooth Operator" is a song by English band Sade from their debut studio album, Diamond Life (1984), and was co-written by Sade and Ray St. John. It was...

statement is true for the position operator: when the system is rotated, the three different components of the position operator are effectively interchanged...

angular momentum operator is one of several related operators analogous to classical angular momentum. The angular momentum operator plays a central role...

the position operator are called the eigenstates and are denoted by φy = |y⟩. Similar considerations apply to the eigenstates of the momentum operator, or...

unit operator. In general, position and momentum are vectors of operators and their commutation relation between different components of position and momentum...