硬壁双曲压缩模型下熵垒的经典和量子输运
Classical and Quantum Transport Through Entropic Barriers Modelled by Hardwall Hyperboloidal Constrictions
摘要：
本文研究了二维和三维空间中双曲面硬壁收缩引起的熵垒量子输运。使用的薛定谔方程和经典的运动方程，这些几何形状的可分离性，我们详细研究了量子传输概率和相关的量子共振，并将它们与经典的相结构，管理通过压缩的运输。这些经典的相结构相比，类似的结构，最近才被证明，在光滑系统中的反应型动力学。虽然本文所研究的系统是特殊的，由于他们的可分性，他们可以作为一个指导，以研究熵的障碍，导致不可分的动力学收缩的几何形状。
英文摘要：
We study the quantum transport through entropic barriers induced by hardwall constrictions of hyperboloidal shape in two and three spatial dimensions. Using the separability of the Schrodinger equation and the classical equations of motion for these geometries we study in detail the quantum transmission probabilities and the associated quantum resonances, and relate them to the classical phase structures which govern the transport through the constrictions. These classical phase structures are compared to the analogous structures which, as has been shown only recently, govern reaction type dynamics in smooth systems. Although the systems studied in this paper are special due their separability they can be taken as a guide to study entropic barriers resulting from constriction geometries that lead to non-separable dynamics.
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