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The '''rotating wave approximation''' is an approximation used in [[atom optics]] and [[magnetic resonance]]. In this approximation, terms in a [[Hamiltonian (quantum mechanics)|Hamiltonian]] which oscillate rapidly are neglected. This is a valid approximation when the applied electromagnetic radiation is near resonance with an atomic resonance, and the intensity is low. Explicitly, terms in the Hamiltonians which oscillate with frequencies <math>\omega_L+\omega_0 </math> are neglected, while terms which oscillate with frequencies <math>\omega_L-\omega_0 </math> are kept, where <math> \omega_L </math> is the light frequency and <math> \omega_0</math> is a transition frequency.
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