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Bosonic realizations of the colour Heisenberg Lie algebra
KTH, School of Engineering Sciences (SCI), Theoretical Physics.
2006 (English)In: Journal of Nonlinear Mathematical Physics, ISSN 1402-9251, Vol. 13, 110-128 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2006. Vol. 13, 110-128 p.
Keyword [en]
Bosonic realizations, Colour Heisenberg Lie algebra, power series, Heisenberg's canonical communtation relations
National Category
Physical Sciences
URN: urn:nbn:se:kth:diva-41442DOI: 10.2991/jnmp.2006.13.s.13ISI: 000241392500014OAI: diva2:443880
Baltic-Nordic Workshop on Algebra, Geometry and Mathematical Physics. Tallinn, Estonia. OCT, 2005

QC 20110927

Available from: 2011-09-27 Created: 2011-09-27 Last updated: 2012-10-10Bibliographically approved

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Sigurdsson, Gunnar
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