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

The second quantization formalism introduces the creation and annihilation operators to construct and handle the Fock states, providing useful tools to...

vector boson or annihilation of two such vector bosons. Pair production Creation and annihilation operators Photon energy Annihilation radiation "Antimatter"...

(annihilation) operator is annihilation (creation) operator.: 45  The commutation relations of creation and annihilation operators in a bosonic system are...

equivalently their creation and annihilation operators, is usually said to be normal ordered (also called Wick order) when all creation operators are to the left...

The creation operator, aα† creates a phonon of type α while aα annihilates one. Hence, they are respectively the creation and annihilation operators for...

of another operator. In quantum mechanics, the raising and lowering operators are commonly known as the creation and annihilation operators, respectively...

of creation and annihilation operators to sums of products of pairs of these operators. This allows for the use of Green's function methods, and consequently...

of spin flips, which we can write in terms of spin-flip creation and annihilation operators: ∑ C ψ i † ψ i . {\displaystyle \sum C\psi _{i}^{\dagger...

transformation that maps spin operators onto fermionic creation and annihilation operators. It was proposed by Pascual Jordan and Eugene Wigner for one-dimensional...

introduced as an axiom. If a theory is constructed from creation and annihilation operators, then the cluster decomposition property automatically holds...

Holstein–Primakoff transformation is a mapping from boson creation and annihilation operators to the spin operators, effectively truncating their infinite-dimensional...

quantum operator ordering ambiguity, since it is equivalent to requiring that all creation operators appear to the left of annihilation operators in the...

Fock space. The map utilizes several creation and annihilation operators a i † {\displaystyle a_{i}^{\dagger }} and a i {\displaystyle a_{i}^{\,}} of routine...

operators in terms of the quantum fields. That the operators with † {\displaystyle \dagger } are creation operators and the one without annihilation operators...

Family annihilation, the act of killing everyone in a family. Annihilation, an operation in classical logic Creation and annihilation operators, mathematical...

to be decomposed into positive and negative frequency components before defining the creation and annihilation operators. This can only be done in spacetimes...

ordered operators and generalized later that decade to any ordering. Let Ω be an ordering of the non-commutative creation and annihilation operators, and let...

operators, which are typically represented by the dimensionless creation and annihilation operators. In this theory, the four ports of the beam splitter are...

Consider the canonical commutation relation for bosonic creation and annihilation operators in the harmonic oscillator basis [ a ^ , a ^ † ] = 1. {\displaystyle...

is because E(k) can have any sign whatsoever, and the combination of creation and annihilation operators has expectation value 1 or 0. So one has to introduce...

space. Given the corresponding creation and annihilation operators a † ( ϕ i ) {\displaystyle a^{\dagger }(\phi _{i})} and a ( ϕ i ) {\displaystyle a(\phi...

function, but refers specifically to correlators of field operators or creation and annihilation operators. The name comes from the Green's functions used to...

It is possible to express the position and momentum operators in terms of the creation and annihilation operators: x ^ = ℏ 2 m ω ( a + a † ) {\displaystyle...

oscillator mode, most operators representing physical quantities are typically expressed in terms of the creation and annihilation operators. In this example...

The a {\displaystyle a} and a † {\displaystyle a^{\dagger }} are creation and annihilation operators (ladder operators) and u , v {\displaystyle u,v}...

conjugate to Φi,j. Associated to the in and out fields are two sets of creation and annihilation operators, a†i(k) and a†f (k), acting in the same Hilbert...

c j † , c j {\displaystyle c_{j}^{\dagger },c_{j}} are creation and annihilation operators, t ≥ 0 {\displaystyle t\geq 0} the energy needed for a particle...

Technically, one converts coordinates to operators, through combinations of creation and annihilation operators. The operators act on quantum states of the theory...

matrices. These matrices are called the Pauli matrices. Creation and annihilation operators can be constructed for spin-⁠1/2⁠ objects; these obey the...