Rotating-wave approximation: Difference between revisions

Revision as of 06:55, 2 July 2019

Revision as of 07:24, 2 July 2019

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Suppose the atom experiences an external classical [[electric field]] of frequency <math>\omega_L</math>, given by

<math>\vec{E}(t) = \vec{E}_0 e^{-i\omega_Lt} +\vec{E}_0^* e^{i\omega_Lt}</math>,

e.g. a [[plane wave]] propagating in space. Then under the [https://en.wikipedia.org/wiki/[Dipole#Torque_on_a_dipole dipole approximation]<br/>] the interaction Hamiltonian between the atom and the electric field can be expressed as

: <math>H_1=-\vec{d}\cdot\vec{E}</math>,