Rotating-wave approximation: Difference between revisions

Revision as of 02:17, 15 November 2009

Revision as of 10:38, 17 December 2009

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{{Unreferenced|date=December 2009}}

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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-\hbar\Omega^*e^{i\omega_Lt}|\text{g}\rangle\langle\text{e}|.

</math>

At this point the rotating wave approximation is complete. A common first step beyond this is to remove the remaining time dependence in the Hamiltonian via another unitary transformation.

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</math>

{{DEFAULTSORT:Rotating Wave Approximation}}

[[Category:Atomic, molecular, and optical physics]]

[[Category:Chemical physics]]

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[[ko:회전파 근사]]