# Download e-book for kindle: An Attempt to Test the Quantum Theory of X-Ray Scattering by Ralph Decker Bennett

By Ralph Decker Bennett

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**Additional resources for An Attempt to Test the Quantum Theory of X-Ray Scattering**

**Sample text**

In a one-atom maser (or laser)For laser see Sect. 1, simple two-level atoms are strongly coupled to a single mode of the radiation ﬁeld that is resonant, or nearly resonant, with the atomic transition. 1) where a, a† are the photon annihilation and creation operators, σ † and σ are the raising and lowering operators of the atomic transition, and g (t) is the time-dependent coupling strength between the atomic transition and the cavity mode. The frequency of the cavity mode is ω, and the atomic transition differs from this by the detuning Δ.

10 (solid curve and mean photon number n /10 (dotted curve) as a function of the pump parameter Θ = N 1/2 gτ for N = 50 and mean thermal photon number n b = 10−4 . The inset sows the exact relative linewidth D/γ based on a numerical solution of the density matrix for large pump parameter Θ for N = 20 and nth = 1. 2 Oscillatory Exchange of Photons Between an Atom and a Cavity Field tinct from the familiar Schawlow-Townes linewidth [57], show up. As can be seen in Fig. 12 (i) the trapping states impress sharp resonances onto D as a function of the pump parameter Θ.

There is, of course, the question of the inﬂuence of the thermal ﬁeld on the photon distribution. By virtue of the selection process in the current experiment we reduce the inﬂuence of the thermal ﬁeld by only performing measurements of the ﬁeld state following a trigger of ground-state atoms. Hence the state of the ﬁeld is well known. The simulations for the steadystate case were therefore performed for a temperature of 100 mK, which makes the inﬂuence of the thermal ﬁeld on the steady state correspondingly low.

### An Attempt to Test the Quantum Theory of X-Ray Scattering by Ralph Decker Bennett

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