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searching for Creation and annihilation operators 30 found (98 total)

alternate case: creation and annihilation operators

Segal–Bargmann space (2,026 words) [view diff] exact match in snippet view article find links to article

These operators satisfy the same relations as the usual creation and annihilation operators, namely, the a j {\displaystyle a_{j}} and a j ∗ {\displaystyle

Unruh effect (2,938 words) [view diff] exact match in snippet view article find links to article

positive and negative frequency components before defining the creation and annihilation operators. This can only be done in spacetimes with a timelike Killing

Antiparticle (2,656 words) [view diff] exact match in snippet view article find links to article

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 the

Gupta–Bleuler formalism (717 words) [view diff] exact match in snippet view article find links to article

multiparticle photons. Using the standard trick of adjoint creation and annihilation operators, but with this quotient trick, one can formulate a free field

Ising model (20,177 words) [view diff] exact match in snippet view article find links to article

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

Circuit quantum electrodynamics (1,607 words) [view diff] exact match in snippet view article find links to article

{\displaystyle a^{\dagger }} and a {\displaystyle a} are photon creation and annihilation operators, respectively. The atomic term is given by the Hamiltonian

CCR and CAR algebras (1,375 words) [view diff] exact match in snippet view article find links to article

fact that these form a C*-algebra is due to the fact that creation and annihilation operators on antisymmetric Fock space are bona-fide bounded operators

Moyal product (1,621 words) [view diff] exact match in snippet view article find links to article

theta representation of the Heisenberg group, where the creation and annihilation operators a∗ = z and a = ∂/∂z are understood to act on the complex

History of quantum field theory (5,644 words) [view diff] exact match in snippet view article find links to article

other fermions, had to be expanded using anti-commuting creation and annihilation operators due to the Pauli exclusion principle (see Jordan–Wigner transformation)

John Scales Avery (717 words) [view diff] case mismatch in snippet view article find links to article

by J. Avery, Kluwer Academic Publishers, Dordrecht, 1989 Creation and Annihilation Operators, by J. Avery, McGraw-Hill, 1976 The Quantum Theory of Atoms

Continuous-variable quantum information (2,420 words) [view diff] exact match in snippet view article find links to article

field as a quantum harmonic oscillator with its associated creation and annihilation operators, one defines a canonically conjugate pair of variables for

Hopfield dielectric (1,175 words) [view diff] exact match in snippet view article find links to article

A {\displaystyle r_{A}} . Expressing it in terms of the creation and annihilation operators for the harmonic oscillators we get H = ∑ A = 1 N ( a A +

Quantum beats (1,922 words) [view diff] exact match in snippet view article find links to article

quantum electrodynamical calculation, we should introduce the creation and annihilation operators from second quantization of quantum mechanics. Let E n (

S-matrix (9,208 words) [view diff] exact match in snippet view article find links to article

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 space, on

Q-Gaussian process (1,619 words) [view diff] exact match in snippet view article find links to article

probability. It is given as the distribution of sums of creation and annihilation operators in a q-deformed Fock space. The calculation of moments of

Tau function (integrable systems) (6,689 words) [view diff] exact match in snippet view article

{\displaystyle {\mathcal {H}}^{*}} . The free fermionic creation and annihilation operators { ψ j , ψ j † } j ∈ Z {\displaystyle \{\psi _{j},\psi _{j}^{\dagger

Dynamical mean-field theory (2,803 words) [view diff] exact match in snippet view article find links to article

, c i {\displaystyle c_{i}^{\dagger },c_{i}} denote the creation and annihilation operators of an electron on a localized orbital on site i {\displaystyle

Neutrino theory of light (8,043 words) [view diff] exact match in snippet view article find links to article

commutation relations? Fermions are defined as the particles whose creation and annihilation operators adhere to the anticommutation relations { a ( k ) , a ( l

Quantum field theory (14,885 words) [view diff] exact match in snippet view article find links to article

the electromagnetic field), and even strings. However, creation and annihilation operators are only well defined in the simplest theories that contain

Tight binding (7,350 words) [view diff] exact match in snippet view article find links to article

σ {\displaystyle c_{i\sigma }^{\dagger },c_{j\sigma }} - creation and annihilation operators σ {\displaystyle \displaystyle \sigma } - spin polarization

Quantum LC circuit (6,688 words) [view diff] exact match in snippet view article find links to article

quantized by either solving the Schrödinger equation or using creation and annihilation operators. The energy stored in the inductor can be looked at as a

Quantization of the electromagnetic field (5,083 words) [view diff] exact match in snippet view article find links to article

coefficients have been promoted from ordinary numbers to operators, creation and annihilation operators. A creation operator creates a particle in the corresponding

Hamiltonian truncation (3,716 words) [view diff] exact match in snippet view article find links to article

e^{i\omega _{n}t}f_{n}(\mathbf {x} )^{*}\right)} where the creation and annihilation operators obey canonical commutation relations [ a m , a n † ] = δ

Continuous spontaneous localization model (4,916 words) [view diff] exact match in snippet view article find links to article

{a}}_{j}({\bf {y}},s)} are, respectively, the second quantized creation and annihilation operators of a particle of type j {\displaystyle j} with spin s {\displaystyle

Light-front computational methods (11,024 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \psi _{s}} is a quantum field operator built from creation and annihilation operators for effective particles of size s ∼ 1 / λ {\displaystyle

Heat transfer physics (9,679 words) [view diff] exact match in snippet view article find links to article

angular frequency for the α mode and cα† and cα are the photon creation and annihilation operators. The vector potential ae of EM fields (ee = −∂ae/∂t and be

Harmonic tensors (5,488 words) [view diff] no match in snippet view article find links to article

Operators considered here, in mani respects close to the 'creation' and 'annihilation' operators of an oscillator. Efimov's operator D ^ {\displaystyle \mathbf

Vasiliev equations (9,794 words) [view diff] exact match in snippet view article find links to article

deformed oscillators. First of all, let us pack the usual creation and annihilation operators a † , a {\textstyle a^{\dagger },a} in a doublet q α , α

Oscillator representation (21,527 words) [view diff] exact match in snippet view article find links to article

constant Cs. Indeed, such an inequality can be checked for creation and annihilation operators acting on Hermite functions Hn and this implies the general

Modular tensor category (4,072 words) [view diff] exact match in snippet view article find links to article

the evaluation and coevaluation maps corresponding to pair creation and annihilation operators. In the context of anyons, this corresponds to the ability