language:
Find link is a tool written by Edward Betts.searching for Creation and annihilation operators 29 found (94 total)
alternate case: creation and annihilation operators
Segal–Bargmann space
(1,921 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 aj{\displaystyle a_{j}} and aj∗{\displaystyleUnruh effect (2,887 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 KillingGupta–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 fieldAntiparticle (2,544 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 theIsing model (19,672 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}^{\daggerMoyal product (1,408 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 complexCircuit quantum electrodynamics (1,495 words) [view diff] exact match in snippet view article find links to article
a†{\displaystyle a^{\dagger }} and a{\displaystyle a} are photon creation and annihilation operators, respectively. The atomic term is given by the HamiltonianCCR and CAR algebras (1,339 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 operatorsHistory of quantum field theory (5,676 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)Hopfield dielectric (965 words) [view diff] exact match in snippet view article find links to article
position rA{\displaystyle r_{A}}. Expressing it in terms of the creation and annihilation operators for the harmonic oscillators we get H=∑A=1N(aA+⋅aA)ℏω−e2Continuous-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 forQuantum beats (1,730 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. LetS-matrix (8,230 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, onJohn 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 AtomsTau function (integrable systems) (6,256 words) [view diff] exact match in snippet view article
H∗{\displaystyle {\mathcal {H}}^{*}}. The free fermionic creation and annihilation operators {ψj,ψj†}j∈Z{\displaystyle \{\psi _{j},\psi _{j}^{\daggerQ-Gaussian process (1,556 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 ofDynamical mean-field theory (2,549 words) [view diff] exact match in snippet view article find links to article
ci†,ci{\displaystyle c_{i}^{\dagger },c_{i}} denote the creation and annihilation operators of an electron on a localized orbital on site i{\displaystyleNeutrino theory of light (7,365 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)}=0,{\displaystyleTight binding (6,317 words) [view diff] exact match in snippet view article find links to article
cjσ{\displaystyle c_{i\sigma }^{\dagger },c_{j\sigma }} - creation and annihilation operators σ{\displaystyle \displaystyle \sigma } - spin polarizationQuantum field theory (14,309 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 containQuantization of the electromagnetic field (4,783 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 correspondingContinuous spontaneous localization model (4,563 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{\displaystyleQuantum 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 aHamiltonian truncation (3,478 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 [am,an†]=δmn{\displaystyleLight-front computational methods (10,679 words) [view diff] exact match in snippet view article find links to article
ψs{\displaystyle \psi _{s}} is a quantum field operator built from creation and annihilation operators for effective particles of size s∼1/λ{\displaystyle s\simHeat transfer physics (8,878 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 beHarmonic tensors (4,772 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 \mathbfVasiliev equations (9,055 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 qα,α=1,2{\textstyleOscillator representation (21,529 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