Bosonic realizations of the colour Heisenberg Lie algebra
Research output: Contribution to journal › Article
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.
|Research areas and keywords||
Subject classification (UKÄ) – MANDATORY
|Journal||Journal of Nonlinear Mathematical Physics|
|Publication status||Published - 2006|