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 )...

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...

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

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:...

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...

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

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

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

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

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

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 ^ =...

(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...

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...

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

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

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...

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