Abstract
We discuss the position–momentum uncertainty relations containing a dependence of their quantum bounds on the state purity parameter μ in the context of possibilities to influence the potential barrier transparency by means of the decoherence processes. We demonstrate that the behavior of the barrier transparency D satisfies the condition μ −1 ln D = const. We consider a particular case of the thermal state with temperature T, where the purity parameter is a function of temperature. For large temperatures, we show that the condition for the barrier transparency is T ln D = const.
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Chernega, V.N. Purity-Dependent Uncertainty Relations and a Possible Enhancement of the Quantum Tunneling Phenomenon. J Russ Laser Res 34, 168–174 (2013). https://doi.org/10.1007/s10946-013-9339-6
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DOI: https://doi.org/10.1007/s10946-013-9339-6