2 citations · 8 across the 8 of their papers we have counts for
8 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…
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…
On contractions of quantum orthogonal groups
N. A. Gromov, I. V. Kostyakov, V. V. Kuratov
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 q…
On contractions of classical basic superalgebras
N. A. Gromov, I. V. Kostyakov, V. V. Kuratov
We define a class of orthosymplectic and unitary superalgebras which may be obtained from and by contractions and analytic conti…
Possible contractions of quantum orthogonal groups
N. A. Gromov, I. V. Kostyakov, V. V. Kuratov
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…
Contractions of Integrable Equations
N. A. Gromov, I. V. Kostyakov, V. V. Kuratov
The contraction is applied to obtaining of integrable systems associated with nonsemisimple algebras. The effect of contraction is splitting off some components from initial system…