Particle creation and annihilation at interior boundaries: One-dimensional models

Stefan Keppeler, Martin M A Sieber

Research output: Contribution to journalArticle (Academic Journal)peer-review

12 Citations (Scopus)
247 Downloads (Pure)

Abstract

We describe creation and annihilation of particles at external sources in one spatial dimension in terms of interior-boundary conditions (IBCs). We derive explicit solutions for spectra, (generalised) eigenfunctions, as well as Green functions, spectral determinants, and integrated spectral densities. Moreover, we introduce a quantum graph version of IBC-Hamiltonians.
Original languageEnglish
Article number125204
Number of pages27
JournalJournal of Physics A: Mathematical and Theoretical
Volume49
Issue number12
DOIs
Publication statusPublished - 11 Feb 2016

Keywords

  • particle creation and annihilation
  • boundary condition
  • semiclassical methods
  • spectral functions
  • quantum graphs

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