In this paper we demonstrate the effectiveness of the action-angle variables in the study of superintegrable systems. As an example, we construct the spherical and pseudospherical generalizations of the two-dimensional superintegrable models introduced by Tremblay, Turbiner and Winternitz, and by Post and Winternitz
The Mishchenko–Fomenko theorem on action-angle coordinates is extended to time-dependent superintegr...
This work is devoted to the investigation of the quantum mechanical systems on the two-dimensional h...
In this work we examine the basis functions for those classical and quantum mechanical systems in tw...
The problem of two bodies that interact in such a way that they describe a rotational motion in Eucl...
The problem of two bodies that interact in such a way that they describe a rotational motion in Eucl...
- We have suggested using the action-angle variables for the study of a (quasi)particle in quantum r...
The higher-order superintegrability of the Tremblay-Turbiner-Winternitz system (related to the harmo...
We explain that the action-angle duality between the rational Ruijsenaars-Schneider and hyperbolic S...
Abstract. Recently we proposed a generic construction of the additional integrals of motion for the ...
Superintegrable systems in two- and three-dimensional spaces of constant curvature have been extensi...
Superintegrable systems in two- and three-dimensional spaces of constant curvature have been extensi...
Superintegrable systems in two- and three-dimensional spaces of constant curvature have been extensi...
Classical (maximal) superintegrable systems in n dimensions are Hamiltonian systems with 2n - 1 inde...
In this work we examine the basis functions for classical and quantum mechanical systems on the two-...
Hamilton-Jacobi theory provides a powerful method for extracting the equations of motion out of some...
The Mishchenko–Fomenko theorem on action-angle coordinates is extended to time-dependent superintegr...
This work is devoted to the investigation of the quantum mechanical systems on the two-dimensional h...
In this work we examine the basis functions for those classical and quantum mechanical systems in tw...
The problem of two bodies that interact in such a way that they describe a rotational motion in Eucl...
The problem of two bodies that interact in such a way that they describe a rotational motion in Eucl...
- We have suggested using the action-angle variables for the study of a (quasi)particle in quantum r...
The higher-order superintegrability of the Tremblay-Turbiner-Winternitz system (related to the harmo...
We explain that the action-angle duality between the rational Ruijsenaars-Schneider and hyperbolic S...
Abstract. Recently we proposed a generic construction of the additional integrals of motion for the ...
Superintegrable systems in two- and three-dimensional spaces of constant curvature have been extensi...
Superintegrable systems in two- and three-dimensional spaces of constant curvature have been extensi...
Superintegrable systems in two- and three-dimensional spaces of constant curvature have been extensi...
Classical (maximal) superintegrable systems in n dimensions are Hamiltonian systems with 2n - 1 inde...
In this work we examine the basis functions for classical and quantum mechanical systems on the two-...
Hamilton-Jacobi theory provides a powerful method for extracting the equations of motion out of some...
The Mishchenko–Fomenko theorem on action-angle coordinates is extended to time-dependent superintegr...
This work is devoted to the investigation of the quantum mechanical systems on the two-dimensional h...
In this work we examine the basis functions for those classical and quantum mechanical systems in tw...