1. Thermal equilibration in a two-level atomic system: purely radiative case.Suppose a collection of two-level atoms has a specified radiative decay rate Yrad,=and no nonradiative decay, Ynr 0. The atoms are pre-cooled to absolute zero for longenough to come into equilibrium with №₂ 0, and then are suddenly moved at t = 0into an enclosure with walls held at a finite temperature Trad. Find formulas for thepopulations N₁(t) and N₂(t), and for the temperature Ta(t) of the collection of atomsfor t > 0.=

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Thermal equilibration in a two-level atomic system: purely radiative case. Suppose a collection of two-level atoms has a specified radiative decay rate Yrad,