2018/12/31 by Yukihiro Fujimoto, Kohkichi Konno, Tomoaki Nagasawa +1 · 5 citations
Chemistry · Mathematics · Physics and Astronomy · #Chemistry #Computer science #Formalism (music) #Mathematics #Physics #Quantum #Quantum chaos and dynamical systems #Quantum mechanics #Quantum optics and atomic interactions #Quantum particle #Quantum system #Reflection (computer programming) #Ring (chemistry) #Scattering #Spectral Theory in Mathematical Physics #hep-th #quant-ph
paper · pdf · doi:10.1088/1751-8121/ab7601
published in Journal of Physics A Mathematical and Theoretical 53(15), 155302 (Institute of Physics) · 9 pages, 3 figures
openalex created_date 2018/12/22 · arxiv created 2020/01/30 · openalex publication_date 2020/02/13 · arxiv updated 2020/03/26 · openalex updated_date 2026/08/05
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.