sigma07-050. 289KB Jun 04 2011 12:10:03 AM
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We prove the existence of an analogous bifibrated geometry in dynamical systems with a symmetry group such that the reduced dynamics is periodic.. The integrability of such systems
(Let us recall that the quasi-regular representation of SO 0 (1 , 4) on the Hilbert space L 2 ( H + 4 ) decomposes into a direct integral of irreducible unitary representations of
In the present paper we derive two well-known integrable cases of rigid body dynamics (the Lagrange top and the Clebsch system) performing an algebraic contraction on the two-body
To justify the study of the dynamic of prolongations of flows, we consider the Lie algebra χ ( R n ) of vector fields on R n endowed with the weak topology, which is the topology of
Recall that in the general classification problem, once the quasi-exactly solvable Lie algebras of differential operators g are determined, the next step is to construct second
Following the approach of Fegan [ 14 ] in the conformal case and ˇ Cap, Slov´ ak, and Souˇcek [ 7 ] more generally, Kroeske classifies the first order invariant pairings provided
For this reason we started a program of research in the two-dimensional supersymmetric classical mechanics of Liouville systems [ 16 ]; i.e., those separable in elliptic,
Based on the traditional training that one receives in a quantum mechanics course, one would expect a theory defined by a non-Hermitian Hamiltonian to be unphysical because the
