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Bosonic realizations of the colour Heisenberg Lie algebra
KTH, Skolan för teknikvetenskap (SCI), Teoretisk fysik.
2006 (engelsk)Inngår i: Journal of Nonlinear Mathematical Physics, ISSN 1402-9251, E-ISSN 1776-0852, Vol. 13, s. 110-128Artikkel i tidsskrift (Fagfellevurdert) 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.

sted, utgiver, år, opplag, sider
2006. Vol. 13, s. 110-128
Emneord [en]
Bosonic realizations, Colour Heisenberg Lie algebra, power series, Heisenberg's canonical communtation relations
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Identifikatorer
URN: urn:nbn:se:kth:diva-41442DOI: 10.2991/jnmp.2006.13.s.13ISI: 000241392500014OAI: oai:DiVA.org:kth-41442DiVA, id: diva2:443880
Konferanse
Baltic-Nordic Workshop on Algebra, Geometry and Mathematical Physics. Tallinn, Estonia. OCT, 2005
Merknad

QC 20110927

Tilgjengelig fra: 2011-09-27 Laget: 2011-09-27 Sist oppdatert: 2017-12-08bibliografisk kontrollert

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