creation operator

creation operator

[krē′ā·shən ‚äp·ə‚rād·ər]
(computer science)
The part of a data structure which allows components to be created.
(quantum mechanics)
An operator which increases the occupation number of a single state by unity and leaves all the other occupation numbers unchanged.
References in periodicals archive ?
Let [[??].sup.[dagger].sub.[up arrow]] denote the creation operator for an electron with spin up.
Finally, we obtain the action of the transfer matrix t([lambda]) on the two-magnon creation operator
Even in the simple case of the sl(2) Gaudin model deformed by the Jordanian twist [5] the algebraic Bethe ansatz changes, and the eigenvectors are constructed by recurrence creation operators [6].
The q-oscillator is a simple quantum mechanical system described by an annihilation operator and a creation operator parameterized by a parameter q.
Each creation operator [a.sup.[dagger].sub.i] is adjoint to the corresponding annihilation operator [a.sub.i], and these operators obey the "canonical commutation relations":
Note that since [k.sup.l.sub.4] belongs to the negative norm branch the corresponding "in" mode [[phi].sup.in.sub.4, l] is multiplied by a creation operator [[??].sup.4, in[dagger].sub.[omega]] (the same thing happens, in the "out" decomposition, for [[phi].sup.out.sub.u.
respectively, in terms of the time-dependent annihilation operator [[??].sub.[sigma]] (r, t) for an electron with spin [sigma] [member of] {[up arrow], [down arrow]} and its adjoint, the creation operator [[??].sup.[dagger].sub.[sigma]](r, t), in the Heisenberg picture.
Let [{[[partial derivative].sub.k], [[partial derivative].sup.*.sub.k]}.sub.k[greater than or equal to]0] be quantum Bernoulli noise, namely, annihilation and creation operators on H, and X be the position operator in [l.sup.2](Z, H).
[b.sub.q] and [b.sup.[dagger].sub.q] are the annihilation and creation operators of photon mode q, respectively.
The following theorem, which states that creation operators construct Schur functions, will become one of the motivations for our new basis of NSym (see Definition 3.3).

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