A free particle on a circle with point interaction

Tamás Fülöp, Izumi Tsutsui

Research output: Contribution to journalArticle

58 Citations (Scopus)

Abstract

The quantum dynamics of a free particle on a circle with point interaction is described by a U(2) family of self-adjoint Hamiltonians. We provide a classification of the family by introducing a number of subfamilies and thereby analyze the spectral structure in detail. We find that the spectrum depends on a subset of U(2) parameters rather than the entire U(2) needed for the Hamiltonians, and that in particular there exists a subfamily in U(2) where the spectrum becomes parameter-independent. We also show that, in some specific cases, the WKB semiclassical approximation becomes exact (modulo phases) for the system. (C) 2000 Published by Elsevier Science B.V.

Original languageEnglish
Pages (from-to)366-374
Number of pages9
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume264
Issue number5
DOIs
Publication statusPublished - Jan 3 2000

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Wentzel-Kramer-Brillouin method
set theory
interactions

Keywords

  • Point interaction
  • Self-adjoint extension
  • WKB approximation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

A free particle on a circle with point interaction. / Fülöp, Tamás; Tsutsui, Izumi.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 264, No. 5, 03.01.2000, p. 366-374.

Research output: Contribution to journalArticle

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