Duality and anholonomy in quantum mechanics of 1D contact interactions

Izumi Tsutsui, Tamás Fülöp, Taksu Cheon

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

We study systems with parity invariant contact interactions in one dimension. The model analyzed is the simplest nontrivial one -a quantum wire with a point defect- and yet is shown to exhibit exotic phenomena, such as strong vs weak coupling duality and spiral anholonomy in the spectral flow. The structure underlying these phenomena is SU(2), which arises as accidental symmetry for a particular class of interactions.

Original languageEnglish
Pages (from-to)3473-3476
Number of pages4
JournalJournal of the Physical Society of Japan
Volume69
Issue number11
DOIs
Publication statusPublished - Nov 2000

Keywords

  • Anholonomy
  • Duality
  • One-dimensional system
  • Point interaction
  • Quantum mechanics
  • Self-adjoint extension
  • Unitary symmetry

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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