Translation operator information

Translation operator can refer to these things: Translation operator (quantum mechanics) Shift operator, which effects a geometric translation Translation...

mechanics, the momentum is the generator of translation, so the relation between translation and momentum operators is:[further explanation needed] T ( ε )...

classical translation operator T v {\displaystyle T_{v}} cannot be generalized to the graph setting. One way to define a generalized translation operator is...

analysis, the shift operator, also known as the translation operator, is an operator that takes a function x ↦ f(x) to its translation x ↦ f(x + a). In time...

under any translation (without rotation). Discrete translational symmetry is invariant under discrete translation. Analogously, an operator A on functions...

automate translation or to mechanically aid the human translator. More recently, the rise of the Internet has fostered a world-wide market for translation services...

the above definition of the infinitesimal translation operator, we see that the finite translation operator is an exponentiated directional derivative:...

Technically, an infinite periodic potential implies that the lattice translation operator T ( a ) {\displaystyle T(a)} commutes with the Hamiltonian, assuming...

In operator theory, a multiplication operator is an operator Tf defined on some vector space of functions and whose value at a function φ is given by...

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

operator is sometimes called the creation operator, and the lowering operator the annihilation operator. Well-known applications of ladder operators in...

In mathematics, the Laplace operator or Laplacian is a differential operator given by the divergence of the gradient of a scalar function on Euclidean...

In mathematics, a vertex operator algebra (VOA) is an algebraic structure that plays an important role in two-dimensional conformal field theory and string...

In mathematics, a differential operator is an operator defined as a function of the differentiation operator. It is helpful, as a matter of notation first...

of DNA called an operator. All the structural genes of an operon are turned ON or OFF together, due to a single promoter and operator upstream to them...

commutes with the translation operators. Consider the family S of operators consisting of all such convolutions and the translation operators. Then S is a...

(called standard query operators, or standard sequence operators), along with translation rules used by the compiler to translate query syntax expressions...

_{h\to 0}{\frac {1}{h}}(\tau _{h}\delta -\delta )} where τh is the translation operator, defined on functions by τhφ(x) = φ(x + h), and on a distribution...

defined in terms of the energy operator, acting on the wave function of the system as a consequence of time translation symmetry. It is given by: E ^ =...

by T. The translation of A by Tv is often written A + v. In a Euclidean space, any translation is an isometry. The set of all translations forms the translation...

implementation of the operators, and a stronger motivation for the innovation was probably his observation that the translation of ++x was smaller than...