Bosonic realizations of the colour Heisenberg Lie algebra

Research output: Contribution to journalArticle

Abstract

We describe realizations of the colour analogue of the Heisenberg Lie algebra by power series in non-commuting indeterminates satisfying Heisenberg's canonical commutation relations of quantum mechanics. The obtained formulas are used to construct new operator representations of the colour Heisenberg Lie algebra. These representations are shown to be closely connected with some combinatorial identities and functional difference-differential interpolation formulae involving Euler numbers.

Details

Authors
  • Gunnar Sigurdsson
  • Sergei Silvestrov
Organisations
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Mathematics

Keywords

  • Heisenberg's canonical communtation relations, power series, Colour Heisenberg Lie algebra, Bosonic realizations
Original languageEnglish
Pages (from-to)110-128
JournalJournal of Nonlinear Mathematical Physics
Volume13
Issue numberSuppl.
Publication statusPublished - 2006
Publication categoryResearch
Peer-reviewedYes