3 citations · 9 across the 10 of their papers we have counts for
10 papers
Nonrelativistic quantum particles on the Minkowski plane
N. A. Gromov, I. V. Kostyakov, V. V. Kuratov
The quantum-mechanical problems of a nonrelativistic free particle, a harmonic oscillator and a Coulomb particle on Minkowski plane are discussed. The Schrödinger equations for eig…
Integrable potentials on Cayley-Klein spaces from quantum groups
N. A. Gromov, V. V. Kuratov
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 contrac…
On exact representations of the motions group of Galilean plane
Dmitry Efimov, Igor Kostyakov, Vasiliy Kuratov
The Pimenov algebra with two generators is defined and some of its properties are shown. Some exact matrix over the Pimenov algebra representations of the motions group of Galilean…
Noncommutative space-time models
N. A. Gromov, V. V. Kuratov
The FRT quantum Euclidean spaces are formulated in terms of Cartesian generators. The quantum analogs of N-dimensional Cayley-Klein spaces are obtained by contractions and…
Quantum kinematics
N. A. Gromov, V. V. Kuratov
The FRT quantum group and space theory is reformulated from the standard mathematical basis to an arbitrary one. The -dimensional quantum vector Cayley-Klein spaces are describe…
Cayley-Klein contractions of orthosymplectic superalgebras
N. A. Gromov, I. V. Kostyakov, V. V. Kuratov
We define a class of orthosymplectic superalgebras which may be obtained from by contractions and analytic continuations in a similar way as the orthogo…