AbstractThis paper is a continuation of a previous paper (A. S. Fokas, J. Math. Anal. Appl. 68 (1979), 347–370). It first establishes an isomorphism between dynamical variables of Hamilton's equations and Lie-Bäcklund operators of the Hamilton-Jacobi equation. It then concentrates on invariants at most cubic in the momenta. Illustrative examples are mainly potentials due to two centers and limiting cases thereof. Some new cubic invariants are also obtained
The algebraic method enables one to study the properties of the spectrum of a quadratic Hamiltonian ...
Quadratic moments of a particle distribution being transported through a linear Hamiltonian system a...
Many problems of Hamiltonian mechanics can be incorporated into the framework of Cartan geometry. As...
AbstractThis paper is a continuation of a previous paper (A. S. Fokas, J. Math. Anal. Appl. 68 (1979...
AbstractThis paper uses Lie-Bäcklund operators to study the connection between classical and quantum...
Consider a classical Hamiltonian H in n dimensions consisting of a kinetic energy term plus a poten...
Consider a classical Hamiltonian H in n dimensions consisting of a kinetic energy term plus a potent...
Invariants at arbitrary and fixed energy (strongly and weakly conserved quantities) for two-dimensio...
AbstractThe aim of this paper is to establish the group nature of all separable solutions and conser...
We investigate integrable two-dimensional Hamiltonian systems with scalar and vector potentials, adm...
In this paper we explore the general conditions in order that a two-dimensional natural Hamiltonian ...
In his works on the study of the quantum dynamical symmetries of a family of generalized MICZ-Kepler...
Les auteurs développent une nouvelle méthode de dynamique classique qui permet de passer des coordon...
We study the structure of cubic matrix mechanics based on three-index objects. It is shown that ther...
The algebraic method enables one to study the properties of the spectrum of a quadratic Hamiltonian ...
Quadratic moments of a particle distribution being transported through a linear Hamiltonian system a...
Many problems of Hamiltonian mechanics can be incorporated into the framework of Cartan geometry. As...
AbstractThis paper is a continuation of a previous paper (A. S. Fokas, J. Math. Anal. Appl. 68 (1979...
AbstractThis paper uses Lie-Bäcklund operators to study the connection between classical and quantum...
Consider a classical Hamiltonian H in n dimensions consisting of a kinetic energy term plus a poten...
Consider a classical Hamiltonian H in n dimensions consisting of a kinetic energy term plus a potent...
Invariants at arbitrary and fixed energy (strongly and weakly conserved quantities) for two-dimensio...
AbstractThe aim of this paper is to establish the group nature of all separable solutions and conser...
We investigate integrable two-dimensional Hamiltonian systems with scalar and vector potentials, adm...
In this paper we explore the general conditions in order that a two-dimensional natural Hamiltonian ...
In his works on the study of the quantum dynamical symmetries of a family of generalized MICZ-Kepler...
Les auteurs développent une nouvelle méthode de dynamique classique qui permet de passer des coordon...
We study the structure of cubic matrix mechanics based on three-index objects. It is shown that ther...
The algebraic method enables one to study the properties of the spectrum of a quadratic Hamiltonian ...
Quadratic moments of a particle distribution being transported through a linear Hamiltonian system a...
Many problems of Hamiltonian mechanics can be incorporated into the framework of Cartan geometry. As...
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