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...

position operator are called the eigenkets and are denoted by φy = |y⟩. Similar considerations apply to any other (unbounded) self-adjoint operator with...

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

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

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. The familiar Schrödinger...

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 at time t. The above equation shows that the operator αk can be interpreted as the k-th component of a "velocity operator". Note...

In quantum mechanics, a density matrix (or density operator) is a matrix used in calculating the probabilities of the outcomes of measurements performed...

The Global Positioning System (GPS) is a satellite-based hyperbolic navigation system owned by the United States Space Force and operated by Mission Delta...

Theodore Duddell Newton and Eugene Wigner) is a scheme for obtaining a position operator for massive relativistic quantum particles. It is known to largely...

into quantum mechanics, where it becomes an operator on a wave function. The momentum and position operators are related by the Heisenberg uncertainty principle...

possible for an operator to have a non-discrete spectrum, such as the position operator X {\displaystyle X} in quantum mechanics. This operator has a completely...

To assume a brace position or crash position is an instruction that can be given to prepare for a crash, such as on an aircraft; the instruction to "Brace...

An operator is a function over a space of physical states onto another space of states. The simplest example of the utility of operators is the study...

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

represented by Hermitian operators. The position operator X ^ {\displaystyle {\hat {X}}} and momentum operator P ^ {\displaystyle {\hat {P}}} do not commute...

the commutator relationship between the position operator x ^ {\displaystyle {\hat {x}}} and the momentum operator p ^ {\displaystyle {\hat {p}}} : [ p ^...

of operator position, an operator may be prefix, postfix, or infix. A prefix operator immediately precedes its operand, as in −x. A postfix operator immediately...

also called Dirac notation, is a notation for linear algebra and linear operators on complex vector spaces together with their dual space both in the finite-dimensional...

Creation operators and annihilation operators are mathematical operators that have widespread applications in quantum mechanics, notably in the study...

operator with corresponding eigenvalue(s) E {\displaystyle E} ; the energy of the system. An example of the continuous case is given by the position operator...

{\hat {x}}} is the position operator (given by x in the coordinate basis), and p ^ {\displaystyle {\hat {p}}} is the momentum operator (given by p ^ = −...

complete the call. Being in complete control of the call, the operator was in a position to listen to private conversations. Automatic, or dial, systems...

{X}}|\psi \rangle =0} where X ^ {\displaystyle {\hat {X}}} is the position operator. For a state | L → , L z ⟩ {\displaystyle {\bigl |}{\vec {L}},L_{z}{\bigr...

Operator assistance refers to service provided by a telephone operator to the calling party of a telephone call. This can include telephone calls made...

the failure of one does not result in a loss of position. This is left to the judgment of the DP operator. For Class 2 and Class 3 a Consequence Analysis...

Fock space. The exchange operator acts by switching the labels on any two identical particles described by the joint position quantum state | x 1 , x 2...

which physical observables such as position, momentum, angular momentum and spin are represented by self-adjoint operators on a Hilbert space. Of particular...