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1:04:59
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Australian Institute of Physics
Taming the Rotating Wave Approximation, Daniel Burgarth
The Rotating Wave Approximation (RWA) is one of the oldest and most successful approximations in quantum mechanics. It is often used for describing weak interactions between matter and electromagnetic radiation. In the semi-classical case, where the radiation is treated classically, it was introduced by Rabi in 1938. For the full quantum ...
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SOLVED: Resonance, the evolution operator U(t) in the rotating frame given by5.5.6 The rotating-wave approximation in NMR Instead of the rotating field of (5.22), We shall use field B(t) parallel to:iw I(0,cos δ, sin δ) expU(t) = expB(t) = 2B cos(ωt φ)rotation operator of angleabout an axis of componentsWe define the state vector |F(t)) in the rotating frame with angular velocityIWu[ Ie(θ) I(θ)sin θ n=0Iz(θ)Ie(θ) = 0Thus the angle θ allows one to choose the rotation axis. One may (ri
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