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,
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,
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![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 long
enough to come into equilibrium with №₂ 0, and then are suddenly moved at t = 0
into an enclosure with walls held at a finite temperature Trad. Find formulas for the
populations N₁(t) and N₂(t), and for the temperature Ta(t) of the collection of atoms
for t > 0.
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9f9c13e2-5c54-4ec3-b4e3-dc49b76d4e30%2Fd83e60b7-cb9d-4da8-b488-ff8a8dbfed0c%2Fb45s635_processed.png&w=3840&q=75)
Transcribed Image Text: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 long
enough to come into equilibrium with №₂ 0, and then are suddenly moved at t = 0
into an enclosure with walls held at a finite temperature Trad. Find formulas for the
populations N₁(t) and N₂(t), and for the temperature Ta(t) of the collection of atoms
for t > 0.
=
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