Role of a phase factor in the boundary condition of a One-dimensional junction

Yoshiyuki Furuhashi, Masao Hirokawa, Kazumitsu Nakahara, Yutaka Shikano

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


One-dimensional quantum systems can be experimentally studied in recent nanotechnology like the carbon nanotube and the nanowire. We have considered the mathematical model of a one-dimensional Schrödinger particle with a junction and have analyzed the phase factor in the boundary condition of the junction. We have shown that the phase factor in the tunneling case appears in the situation of the non-adiabatic transition with the three energy levels in the exact Wentzel-Kramers-Brillouin analysis.

Original languageEnglish
Article number354010
JournalJournal of Physics A: Mathematical and Theoretical
Issue number35
Publication statusPublished - Sept 3 2010
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • General Physics and Astronomy


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