We study the level shifts and depopulation of Rydberg states, confined between two parallel metallic plates, due to blackbody radiation. After the derivation of the formal equations for the level shift and the depopulation, we present, as an example, specific calculations for the Rb $24s$ state as a function of plate distance L at three different temperatures 10, 85, and 205 K.
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Nakajima et al. (1997) studied this question.