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Lecture 36: Time Dependence of Two-Level Systems: Density Matrix, Rotating Wave Approximation | Physical Chemistry | Chemistry | MIT OpenCourseWare

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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