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This paper provides an analytic solution for the escape rate of a particle from a parabolic quantum potential well in the extremely underdamped limit. Explicit expressions are derived for the energy distribution function and for the particle flux. The role of tunneling effects is assessed by the evaluation of the flux, both in the classically allowed and forbidden regions, establishing the conditions for the dominance of the tunneling contribution.
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Rips et al. (1986) studied this question.
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