Bosonic realizations of the colour Heisenberg Lie algebra

• 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.

Subject headings

NATURVETENSKAP  -- Fysik (hsv//swe)

NATURAL SCIENCES  -- Physical Sciences (hsv//eng)

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Keyword

Bosonic realizations

Colour Heisenberg Lie algebra

power series

Heisenberg's canonical communtation relations

Heisenberg's canonical communtation relations

power series

Colour Heisenberg Lie algebra

Bosonic realizations

Publication and Content Type

ref (subject category)

art (subject category)