Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Kostyakov, I. V."'
The quantum-mechanical problems of a nonrelativistic free particle, a harmonic oscillator and a Coulomb particle on Minkowski plane are discussed. The Schr\"odinger equations for eigenvalues are obtained using the Beltrami-Laplas operator of the pseu
Externí odkaz:
http://arxiv.org/abs/2002.11990
Autor:
Kostyakov, I. V., Kuratov, V. V.
Gauge fields of semisimple groups of internal symmetries are massless and require the special techniques for guarantee their mass. Massive mechanisms usually contain transformations of shifts typical to nonsemisimple groups. We show that under the lo
Externí odkaz:
http://arxiv.org/abs/0909.0634
Publikováno v:
Czech.J.Phys. 54 (2004) 1297-1303
Quantum planes which correspond to all one parameter solutions of QYBE for the two-dimensional case of GL-groups are summarized and their geometrical interpretations are given. It is shown that the quantum dual plane is associated with an exotic solu
Externí odkaz:
http://arxiv.org/abs/math/0407483
The standard Faddeev quantization of the simple groups is modified in such a way that the quantum analogs of the nonsemisimple groups are obtained by contractions. The contracted quantum groups are regarded as the algebras of noncommutative functions
Externí odkaz:
http://arxiv.org/abs/math/0209158
We define a class of orthosymplectic $osp(m;j|2n;\omega)$ and unitary $sl(m;j|n;\epsilon)$ superalgebras which may be obtained from $osp(m|2n)$ and $sl(m|n)$ by contractions and analytic continuations in a similar way as the special linear, orthogona
Externí odkaz:
http://arxiv.org/abs/hep-th/0209097
We define a class of orthosymplectic superalgebras $osp(m;j|2n;\omega)$ which may be obtained from $osp(m|2n)$ by contractions and analytic continuations in a similar way as the orthogonal and the symplectic Cayley-Klein algebras are obtained from th
Externí odkaz:
http://arxiv.org/abs/hep-th/0110257
We describe graded contractions of Virasoro algebra. The highest weight representations of Virasoro algebra are constructed. The reducibility of representations is analysed. In contrast to standart representations the contracted ones are reducible ex
Externí odkaz:
http://arxiv.org/abs/hep-th/0102052
A root systems in Carroll spaces with degenerate metric are defined. It is shown that their Cartan matrices and reflection groups are affine. With the help of the geometric consideration the root system structure of affine algebras is determined by a
Externí odkaz:
http://arxiv.org/abs/hep-th/0102053
Publikováno v:
Phys.Atom.Nucl. 64 (2001) 2121-2125; Yad.Fiz. 64 (2001) 2211-2215
Possible contractions of quantum orthogonal groups which correspond to different choices of primitive elements of Hopf algebra are considered and all allowed contractions in Cayley--Klein scheme are obtained. Quantum deformations of kinematical group
Externí odkaz:
http://arxiv.org/abs/math/0102071
The quantization theory of the simple Lie groups and algebras was developed by Faddeev-Reshetikhin-Takhtadjan (FRT). In group theory there is a remarkable set of groups, namely the motion groups of n-dimensional spaces of constant curvature or the or
Externí odkaz:
http://arxiv.org/abs/q-alg/9711024