The rotating-wave approximation is an approximation used in atom optics and magnetic resonance. In this approximation, terms in a Hamiltonian that oscillate...

"counter-rotating" terms, ( ω c + ω a ) {\displaystyle (\omega _{c}+\omega _{a})} , are ignored. This is referred to as the rotating wave approximation, and...

single-ion Hamiltonians (in the rotating-wave approximation with respect to H H O {\displaystyle H_{\rm {HO}}} and counter-rotating terms) are given by H c a...

A rotating frame of reference is a special case of a non-inertial reference frame that is rotating relative to an inertial reference frame. An everyday...

NMR, driven by a strong oscillating magnetic field). When the rotating-wave approximation (RWA) is invoked, the resonance between the driving field and...

multiple atoms. It differs from the Dicke model in its use of the rotating-wave approximation to conserve the number of excitations of the system. Originally...

classical monochromatic electromagnetic field yields (in the rotating wave approximation) the Hamiltonian H = H HO + H AL {\displaystyle H=H_{\text{HO}}+H_{\text{AL}}}...

atom in the field of a laser when the generally well satisfied rotating wave approximation is made, where ℏ ω 0 {\displaystyle \hbar \omega _{0}} is the...

{\displaystyle \omega _{d}} , a driven qubit Hamiltonian in a rotating wave approximation is H R / ℏ = ( ω − ω d ) | 1 ⟩ ⟨ 1 | + E x ( t ) 2 σ x + E y...

case that the field is not rotating, but oscillating with a complex amplitude, use is made of the rotating wave approximation in deriving such results....

|\mathbf {B} _{\perp }|} . The Hamiltonian in the rotating frame (including the rotating-wave approximation) is H ^ = − ℏ Δ 2 σ z ^ + ℏ Ω ⊥ 2 σ x ^ . {\displaystyle...

}+{\hat {H}}_{\mathrm {int} }.} In an appropriate rotating frame, and making the rotating wave approximation, H ^ {\displaystyle {\hat {H}}} reduces to H ^...

Rossby waves, also known as planetary waves, are a type of inertial wave naturally occurring in rotating fluids. They were first identified by Sweden-born...

beta plane approximation: f = β y , {\displaystyle f=\beta y,} where β is the variation of the Coriolis parameter with latitude. The wave speed is identical...

{\displaystyle |1\rangle \leftrightarrow |2\rangle } is forbidden. In the rotating wave approximation, the semi-classical Hamiltonian is given by H = H 0 + H 1 {\displaystyle...

_{0})t}+e^{-i(\omega -\omega _{0})t})\end{aligned}}} and apply the rotating-wave approximation, which assumes that ω + ω 0 >> ω − ω 0 {\displaystyle \omega...

resonance frequencies. Finally, we make a rotating wave approximation, neglecting the fast counter-rotating terms proportional to e2iωt, which average...

cases: Δ ≈ − ω m {\displaystyle \Delta \approx -\omega _{m}} : a rotating wave approximation of the linearized Hamiltonian, where one omits all non-resonant...

realm of extreme nonlinear optics where the usual approximations, such as the rotating-wave approximation (abbreviated as RWA) or the conditions for complete...

\left(2(1-D)-(x^{*}p+xp^{*})\right)} Within the dipole approximation and rotating-wave approximation, the dynamics of the atomic density matrix, when interacting...

of quantum time evolution. Although this model utilizes the rotating wave approximation, it proves to be effective for the purposes of trapped-ion quantum...

directional wave equations, and then efficiently reduced into a single uni-directional wave equation by means of a simple slow-evolution approximation. Antenna...

index Refractometer Retroreflector RGB color model Rochon prism Rotating-wave approximation scattering Scheimpflug principle scintillator scintillation (astronomy)...

Right-wing authoritarianism, a psychological personality variable Rotating-wave approximation, a mathematical simplification used in atom optics and magnetic...

inside an optical cavity. The Hamiltonian for this model in the rotating wave approximation is H ^ JC = ℏ ω a ^ † a ^ + ℏ ω 0 σ ^ z 2 + ℏ g ( a ^ σ ^ + +...

{\displaystyle {\dot {w}}=-\kappa Ev,} where we have made the rotating wave approximation in throwing out terms with high angular velocity (and thus small...

are rapidly rotating stars. A pulsar emits beams of radio waves that, like lighthouse beams, sweep through the sky as the pulsar rotates. The signal from...

a quantum mechanical phenomena (see Maxwell–Bloch equations, rotating wave approximation, and semi-classical model of a two level atom). The Einstein...

describes the free system evolution.: 148  This model uses the rotating wave approximation and extends the lower limit of ω {\displaystyle \omega } to −...

(master) equations suffer from such as the Born, Markovian and rotating-wave approximations. HEOM is applicable even at low temperatures where quantum effects...