10 citations · 35 across the 24 of their papers we have counts for
6 papers · 1 filter
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…
Noncommutative quantum analogs of constant curvature spaces
N. A. Gromov
The quantum N-dimensional orthogonal vector Cayley-Klein spaces with different combinations of quantum structure and Cayley-Klein scheme of contractions and analytical continuation…
Possible quantum kinematics. II. Non-minimal case
N. A. Gromov
The quantum analogs of the N-dimensional Cayley-Klein spaces with different combinations of quantum and Cayley-Klein structures are described for non-minimal multipliers, which inc…
Linear harmonic oscillator in spaces with degenerate metrics
N. A. Gromov
With the help of contraction method we study the harmonic oscillator in spaces with degenerate metrics, namely, on Galilei plane and in the flat 3D Cayley-Klein spaces $R_3(j_2,j_3…
Irreducible Representations of Cayley-Klein Orthogonal Algebras
N. A. Gromov, S. S. Moskaliuk
Multidimensional contractions of irreducible representations of Cayley--Klein orthogonal algebras in Gel'fand--Zetlin basis are considered. Contracted over different parameters, al…
Irreducible Representations of Cayley-Klein Unitary Algebras
N. A. Gromov, S. S. Moskaliuk
Multidimensional contractions of irreducible representations of the Cayley-Klein unitary algebras in the Gel'fand-Zetlin basis are considered. Contracted over different parameters,…