Bosonic Realizations of the Colour Heisenberg Lie Algebra

DOI

10.2991/jnmp.2006.13.s.13How to use a DOI?

Keywords

Bosonic realizations, Colour Heisenberg Lie algebra, power series, Heisenberg's canonical commutation relations

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.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Gunnar Sigurdsson
AU  - Sergei D. Silvestrov
PY  - 2006
DA  - 2006/08/01
TI  - Bosonic Realizations of the Colour Heisenberg Lie Algebra
JO  - Journal of Nonlinear Mathematical Physics
SP  - 110
EP  - 128
VL  - 13
IS  - Supplement
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2006.13.s.13
DO  - 10.2991/jnmp.2006.13.s.13
ID  - Sigurdsson2006
ER  -