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...

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...

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

is a relationship between the raising and lowering ladder operators and the creation and annihilation operators commonly used in quantum field theory...

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

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...

produced virtual vector boson or annihilation of two such vector bosons. Pair production Creation and annihilation operators Photon energy "Antimatter". Lawrence...

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

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

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

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

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

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

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

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...

H} and n ∈ N {\displaystyle n\in \mathbb {N} } . The fact that these form a C*-algebra is due to the fact that creation and annihilation operators on...

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

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

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...

the field operator for a Dirac spinor is a sum of creation operators and annihilation operators, in a schematic notation: ψ ( x ) = ∑ a † ( k ) e i...

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

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...

field operators that provide the right creation and annihilation operators. These fields are called respectively in and out fields: Just to fix ideas, suppose...

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

of adjoint creation and annihilation operators, but with this quotient trick, one can formulate a free field vector potential as an operator valued distribution...

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

linear superposition of pure states. Two operators of great importance are the creation and annihilation operators, which upon acting on a Fock state add...