2020年2月13日
Quantum Reflection and Transmission in Ring Systems with Double Y-Junctions: Occurrence of Perfect Reflection
Journal of Physics A
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- 巻
- 53
- 号
- 開始ページ
- 155302
- 終了ページ
- 記述言語
- 掲載種別
- 研究論文(学術雑誌)
We consider the scattering problems of a quantum particle in a system with a<br />
single Y-junction and in ring systems with double Y-junctions. We provide new<br />
formalism for such quantum mechanical problems. Based on a path integral<br />
approach, we find compact formulas for probability amplitudes in the ring<br />
systems. We also discuss quantum reflection and transmission in the ring<br />
systems under scale-invariant junction conditions. It is remarkable that<br />
perfect reflection can occur in an anti-symmetric ring system, in contrast with<br />
the one-dimensional quantum systems having singular nodes of degree 2.
single Y-junction and in ring systems with double Y-junctions. We provide new<br />
formalism for such quantum mechanical problems. Based on a path integral<br />
approach, we find compact formulas for probability amplitudes in the ring<br />
systems. We also discuss quantum reflection and transmission in the ring<br />
systems under scale-invariant junction conditions. It is remarkable that<br />
perfect reflection can occur in an anti-symmetric ring system, in contrast with<br />
the one-dimensional quantum systems having singular nodes of degree 2.
- リンク情報
- ID情報
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- arXiv ID : arXiv:1812.05749