J. Abedi-Fardad, A. Rezaei-Aghdam, Gh. Haghighatdoost
Published 2018-03-19Version 1
We construct integrable Hamiltonian systems with Lie bialgebra of bi-symplectic type for which the Poisson-Lie group $G$ plays the role of phase space and its dual Lie group $\tilde{G}$ plays the role of symmetry group of the system. We give the new transformation to exchange the role of phase space and symmetry group. We obtain relation between integrals of motion of these two integrable systems. Finally we give some examples about real four dimensional Lie bialgebras of bi-symplectic type.
A Refinement of the Schrödinger Equation Involving Dissipation of Waves in the Phase Space
Generalized Hamilton Function in the Phase Space of Coordinates and Their Multiple Derivatives
Quantization as Asymptotics of Diffusion Processes in the Phase Space
![QR code for arXiv:1803.06886 [math-ph]](http://oss.arxitics.com/images/favicon.svg)