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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, E-ISSN 1776-0852, Vol. 13, p. 110-128Article 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, p. 110-128
Keywords [en]
Bosonic realizations, Colour Heisenberg Lie algebra, power series, Heisenberg's canonical communtation relations
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-41442DOI: 10.2991/jnmp.2006.13.s.13ISI: 000241392500014Scopus ID: 2-s2.0-33747661084OAI: oai:DiVA.org:kth-41442DiVA, id: diva2:443880
Conference
Baltic-Nordic Workshop on Algebra, Geometry and Mathematical Physics. Tallinn, Estonia. OCT, 2005
Note

QC 20110927

Available from: 2011-09-27 Created: 2011-09-27 Last updated: 2022-06-24Bibliographically approved

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