Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Kuratov, V. 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:
Gromov, N. A., Kuratov, V. V.
The family of (super)integrable potentials on spaces with curvature developed by A. Ballesteros et all is extend to all two-dimensional Cayley-Klein spaces with the help of contractions. It is shown that integrable systems on spaces with degenerate m
Externí odkaz:
http://arxiv.org/abs/1506.01855
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
Autor:
Gromov, N. A., Kuratov, V. V.
Publikováno v:
Czech.J.Phys. 55 (2005) 1421-1426
The FRT quantum Euclidean spaces $O_q^N$ are formulated in terms of Cartesian generators. The quantum analogs of N-dimensional Cayley-Klein spaces are obtained by contractions and analytical continuations. Noncommutative constant curvature spaces are
Externí odkaz:
http://arxiv.org/abs/hep-th/0507009
Autor:
Gromov, N. A., Kuratov, V. V.
The FRT quantum group and space theory is reformulated from the standard mathematical basis to an arbitrary one. The $N$-dimensional quantum vector Cayley-Klein spaces are described in Cartesian basis and the quantum analogs of $(N-1)$-dimensional co
Externí odkaz:
http://arxiv.org/abs/hep-th/0410086
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
Autor:
Gromov, N. A., Kuratov, V. V.
Publikováno v:
Phys.Atom.Nucl. 68 (2005) 1689-1699; Yad.Fiz. 68 (2005) 1752-1762
Spaces of constant curvature and their motion groups are described most naturally in Cartesian basis. All these motion groups also known as CK groups are obtained from orthogonal group by contractions and analytical continuations. On the other hand q
Externí odkaz:
http://arxiv.org/abs/math/0401088
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