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...

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

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

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

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...

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

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...

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

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

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

has to take into account the position operator and its tensorial square. For a system of n electrons, the position operator and its Cartesian components...

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

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...

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 ^...

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...

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...

identical for signed integer, there is no "<<<" operator in Java. More details of Java shift operators: The operators << (left shift), >> (signed right shift)...

{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...

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

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...

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...

electric dipole moment: The sum of the positions, weighted by charge. If the ith particle has charge qi and position operator ri, then the transition dipole moment...

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...

{\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 ^ = −...

state after the operator L ^ x i {\displaystyle {\hat {L}}_{x}^{i}} has localized the i {\displaystyle i} -th particle around the position x {\displaystyle...