排序方式: 共有14条查询结果,搜索用时 15 毫秒
1.
The quantum group IGL
q
(N), the inhomogenization of GL
q
(N), is formulated with
-matrices. Theq-deformed universal enveloping algebra is constructed as the algebra of regular functionals in this formulation and contains the partial derivatives of the covariant differential calculus on the quantum space. 相似文献
2.
Chryss Chryssomalakos Bernhard Drabant Michael Schlieker Wolfgang Weich Bruno Zumino 《Communications in Mathematical Physics》1992,147(3):635-646
Using previous results we construct theq-analogues of the left invariant vector fields of the quantum enveloping algebra corresponding to the complex Lie algebras of typeA
n–1
,B
n
,C
n
, andD
n
. These quantum vector fields are functionals over the complex quantum groupA. In the special caseA
1 it is shown that this Hopf algebra coincides withU
q
sl(2, ). 相似文献
3.
Inhomogeneous quantum groups corresponding to the homogeneous quantum groupsU
q
(N), SO
q
(N) and theq-deformed Lorentz group acting on affine quantum spaces are constructed. 相似文献
4.
5.
Tobias Weich 《Communications in Mathematical Physics》2015,337(2):727-765
Resonance chains have been observed in many different physical and mathematical scattering problems. Recently, numerical studies linked the phenomenon of resonances chains to an approximate clustering of the length spectrum on integer multiples of a base length. A canonical example of such a scattering system is provided by 3-funneled hyperbolic surfaces where the lengths of the three geodesics around the funnels have rational ratios. In this article we present a mathematically rigorous study of the resonance chains for these systems. We prove the analyticity of the generalized zeta function, which provides the central mathematical tool for understanding the resonance chains. Furthermore, we prove for a fixed ratio between the funnel lengths and in the limit of large lengths that after a suitable rescaling, the resonances in a bounded domain align equidistantly along certain lines. The position of these lines is given by the zeros of an explicit polynomial that only depends on the ratio of the funnel lengths. 相似文献
6.
Bernhard Drabant Michael Schlieker Wolfgang Weich Bruno Zumino 《Communications in Mathematical Physics》1992,147(3):625-633
We construct complexified versions of the quantum groups associated with the Lie algebras of typeA n?1 ,B n ,C n , andD n . Following the ideas of Faddeev, Reshetikhin and Takhtajan we obtain the Hopf algebras of regular functionals U? on these complexified quantum groups. In the special exampleA 1 we derive theq-deformed enveloping algebraU q (sl(2, ?)). In the limitq→1 the undeformedU q (sl(2, ?)) is recovered. 相似文献
7.
H. Krüger F. Reiss J. Prescher A. Auzinger H. Grosse-Bohle G. Fendler C. Borkel W. Morres Orla-Jensen A. Devarda A. Weich Grimmer A. Hopffe und F. Löhnis 《Fresenius' Journal of Analytical Chemistry》1920,59(8-9):387-392
Ohne Zusammenfassung 相似文献
8.
A noncommutative *-algebra that generalizes the canonical commutation relations and that is covariant under the quantum groups SO q (3) or SO q(1, 3) is introduced. The generating elements of this algebra are hermitean and can be identified with coordinates, momenta and angular momenta. In addition a unitary scaling operator is part of the algebra. 相似文献
9.
Ursula Carow-Watamura Satoshi Watamura Arthur Hebecker Michael Schlieker Wolfgang Weich 《Czechoslovak Journal of Physics》1992,42(12):1279-1288
The bicovariant differential calculus on quantum groups being defined by Woronowicz and later worked out explicitly by Carow-Watamura et at. and Juro for the real quantum groupsSU
q
(N) andSO
q
(N) through a systematic construction of the bicovariant bimodules of these quantum groups is reviewed forSU
q
(2) andSO
q
(N). The resulting vector fields build representations of the quantized universal enveloping algebras acting as covariant differential operators on the quantum groups and their associated quantum spaces. As an application a free particle stationary wave equation on quantum space is formulated and solved in terms of a complete set of energy eigenfunctions.Presented at the Colloquium on the Quantum Groups, Prague, 18–20 June 1992. 相似文献
10.
Bernhard Drabant Branislav Jurčo Michael Schlieker Wolfgang Weich Bruno Zumino 《Letters in Mathematical Physics》1992,26(2):91-96
We derive the equivalence of the complex quantum enveloping algebra and the algebra of complex quantum vector fields for the Lie algebra types A
n
, B
n
, C
n
, and D
n
by factorizing the vector fields uniquely into a triangular and a unitary part and identifying them with the corresponding elements of the algebra of regular functionals.Humboldt Fellow. 相似文献