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By H. G. Unger and D. ter Haar (Auth.)
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The probability of a micro-system which is initially in state m and which is interacting with an external field making a transition from state m to state n is just as large as the probability for a transition in the opposite direction, provided the micro-system is initially in the state n. In this sense stimulated emission and absorption are equally probable. 9. Interaction with thermal radiation The uniform plane wave which is purely sinusoidal in time only approximates to practical radiation fields or is just a spectral component of such fields.
K or with frequencies between 0 and ω is proportional to the volume of the cavity. If this total number of modes is divided by the volume we obtain ω3 Nk nk V 3TT2C3 nk is the number of modes per unit volume, or the mode density, in the spectral range between 0 and ω. The number of modes per unit volume and per cycle or the spectral mode density is given by η ' = 2 π dnk ^ = 2ω2 ^ (67) We have added a factor In here because we do not want the spectral ω density with respect to ω, but with respect to / = -r— .
All micro-systems of the macroscopic arrangement are assumed to be exposed to one and the same radiation field. If N2 of these micro-systems are in state 2 then according to the 30 Stimulated Emission and Absorption probability (54) the number of transitions to state 1 per unit time or, in other words, the transition rate, is w'21 = Β21σ(ω12)Ν2 (57) Here also it has been assumed that the spectral energy density σ(ω) is independent of frequency in the spectral range near ω12 where there is significant interaction with the radiation field.