A family of exactly solvable radial quantum systems on space of non-constant curvature with accidental degeneracy in the spectrum.
A Lie algebroid on the Wiener space.
A new approach to Hom-left-symmetric bialgebras
The main purpose of this paper is to consider a new definition of Hom-left-symmetric bialgebra. The coboundary Hom-left-symmetric bialgebra is also studied. In particular, we give a necessary and sufficient condition that -matrix is a solution of the Hom--equation by a cocycle condition.
A recurrence relation approach to higher order quantum superintegrability.
A super-integrable two-dimensional nonlinear oscillator with an exactly solvable quantum analog.
A vertex operator approach for form factors of Belavin's -symmetric model and its application.
Algebraic calculation of the energy eigenvalues for the nondegenerate three-dimensional Kepler-Coulomb potential.
An alternative canonical approach to the ghost problem in a complexified extension of the Pais-Uhlenbeck oscillator.
An analytic formula for the Jack polynomials.
An explicit formula for symmetric polynomials related to the eigenfunctions of Calogero-Sutherland models.
Asymmetric twin representation: the transfer matrix symmetry.
Bethe ansatz solutions of the Bose-Hubbard dimer.
Clifford algebra derivations of tau-functions for two-dimensional integrable models with positive and negative flows.
Combined analysis of two- and three-particle correlations in -Bose gas model.
Completely integrable systems associated with classical root systems.
Construction of the Bethe state for the elliptic quantum group.
Coordinate Bethe ansatz for spin XXX model.
Darboux transformation for the nonstationary Schrödinger equation.
Dilogarithm identities for sine-Gordon and reduced sine-Gordon Y-systems.
Discretized representations of harmonic variables by bilateral Jacobi operators.