Access the full text.
Sign up today, get unlimited access with DeepDyve Pro!
that the Weyl function of the auxiliary Dirac spectral problem carries natural Poisson structure . This is the Atiyah-Hitchin Poisson bracket . We show that the Poisson bracket on the phase space is an image ...
of Toda flows. 8 5.2. Three Poisson structures on M. 9 5.3. The Hamiltonian formulation of the hierarchy of Toda flows. 9 6. The spectral curve and the new parametrization (Γ, χ). 10 7. The hierarchy ...
of the bi- Hamiltonian cohomology. In particular, for semi-simple pencils of hydrodynamic Poisson structures , the deformation space is computed in [10], where the corresponding functional parameters are called ...
G}}/{{\scriptscriptstyle U}}}$| is the standard Poisson structure on |$G/U$|. We first study the Poisson geometry of |$(G/U,\pi _{{{\scriptscriptstyle G}}/{{\scriptscriptstyle U}}})$|. Then we ...
. A classical dynamical system $$(Y,H)$$ consisting of a Poisson manifold $$Y$$ and a Hamiltonian function $$H: Y \to {\mathbb {R}}$$ is not recognizable as a description of the world: if $$Y$$ is 60-dimensional ...
equation. Given any pair of differentiable functionals $$f$$ and $$g$$ on $$\hat{\mathfrak{G}}_1^\ast $$, their Poisson bracket at a generic point $$(\mathscr L, 1) \in \hat{\mathfrak{G}}_1^\ast $$, where ...
)))dλ.(6) Then: 1. The functions |$H_\psi$| are mutually in involution with respect to the Poisson bracket (4). The collection of all such functions is an integrable system. 2. For any |$\psi ...
as quantization of sheaves of vertex Poisson algebras called jet bundles over the Slodowy varieties. In this paper, we construct a new family of vertex algebras and study their structure . Our construction is based ...
. The Alvarez-type structure is assumed as an example, but the present theory can readily be extended to other types of conventional linacs. A Hamiltonian formalism of non-neutral plasma in a linear Paul trap ...
many-body problems and other Hamiltonian systems with a certain structure , but also semidiscretizations of time-dependent partial differential equations such as, e.g., linear or nonlinear Schrödinger ...
Access the full text.
Sign up today, get unlimited access with DeepDyve Pro!