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Bosonic realization...
Bosonic realizations of the colour Heisenberg Lie algebra
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- Sigurdsson, Gunnar (författare)
- KTH,Teoretisk fysik
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- Silvestrov, Sergei (författare)
- Lund University,Lunds universitet,Matematik LTH,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Engineering),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
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(creator_code:org_t)
- 2006
- 2006
- Engelska.
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Ingår i: Journal of Nonlinear Mathematical Physics. - : Springer Science and Business Media LLC. - 1402-9251 .- 1776-0852. ; 13, s. 110-128
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Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- 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
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