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arXiv · 1812.05749

Quantum Reflection and Transmission in Ring Systems with Double Y-Junctions: Occurrence of Perfect Reflection

Yukihiro Fujimoto·Kohkichi Konno·Tomoaki Nagasawa·Rohta Takahashi
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Abstract

We consider the scattering problems of a quantum particle in a system with a single Y-junction and in ring systems with double Y-junctions. We provide new formalism for such quantum mechanical problems. Based on a path integral approach, we find compact formulas for probability amplitudes in the ring systems. We also discuss quantum reflection and transmission in the ring systems under scale-invariant junction conditions. It is remarkable that perfect reflection can occur in an anti-symmetric ring system, in contrast with the one-dimensional quantum systems having singular nodes of degree 2.

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Yukihiro Fujimoto, Kohkichi Konno, Tomoaki Nagasawa, Rohta Takahashi. 2018-12-14. Quantum Reflection and Transmission in Ring Systems with Double Y-Junctions: Occurrence of Perfect Reflection. https://doi.org/10.1088/1751-8121%2Fab7601

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