Bosonic realizations of the color analogue of the Heisenberg Lie algebra
(2003) In LUTFMA-5023-2003/1-46/(2003)- Abstract
- We describe realizations of the color 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 color analogue of the Heisenberg Lie algebra. These representations are shown to be closely connected with some combinatorial identities and functional difference-differential interpolation formulae involving Euler, Bernoulli and Stirling numbers.
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/record/958631
- author
- Sigurdsson, Gunnar and Silvestrov, Sergei ^{LU}
- organization
- publishing date
- 2003
- type
- Contribution to journal
- publication status
- unpublished
- subject
- keywords
- Heisenberg Lie algebra, combinatorial identities, representations, functional difference-differential interpolation, Bernoulli and Stirling numbers, Euler
- in
- LUTFMA-5023-2003/1-46/(2003)
- issue
- 4
- pages
- 46 pages
- ISSN
- 1403-9338
- project
- Non-commutative Geometry in Mathematics and Physics
- Non-commutative Analysis of Dynamics, Fractals and Wavelets
- language
- English
- LU publication?
- yes
- id
- f053c499-0e4c-4287-963b-2fafdc7653e8 (old id 958631)
- alternative location
- http://arxiv.org/abs/math/0311204v1
- date added to LUP
- 2008-01-28 10:56:46
- date last changed
- 2016-04-16 06:14:45
@misc{f053c499-0e4c-4287-963b-2fafdc7653e8, abstract = {We describe realizations of the color analogue<br/><br> 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<br/><br> representations of the color analogue of the Heisenberg Lie algebra. These representations are shown to be closely connected with some combinatorial identities and functional difference-differential interpolation formulae involving Euler, Bernoulli and Stirling numbers.}, author = {Sigurdsson, Gunnar and Silvestrov, Sergei}, issn = {1403-9338}, keyword = {Heisenberg Lie algebra,combinatorial identities,representations,functional difference-differential interpolation,Bernoulli and Stirling numbers,Euler}, language = {eng}, number = {4}, pages = {46}, series = {LUTFMA-5023-2003/1-46/(2003)}, title = {Bosonic realizations of the color analogue of the Heisenberg Lie algebra}, year = {2003}, }