arXiv subjects

Tomasz Golinski

Publications and source records attributed to Tomasz Golinski.

3 recordsLinked to original sources

arXiv2009

Hierarchy of Hamilton equations on Banach Lie-Poisson spaces related to restricted Grassmannian

Using the Magri method one defines an involutive family of Hamiltonians on Banach Lie-Poisson space iR+UL_res^1 (which contains the restricted Grassmannian as a symplectic leaf) and on its complexification C+L_res^1. The hierarchy of Hamilton equations given by these Hamiltonians is investigated. The operator equations of Ricatti-type are included in this hierarchy. For a few particular cases one gives the explicit solutions.

math-ph↗

arXiv2006

sl(2,R) symmetry and solvable multiboson systems

The one-mode and the two-mode multiboson systems with sl(2,R) symmetry are investigated.Hamiltonians of these systems are integrated using the theory of orthogonal polynomials. The coherent state representation for these systems is constructed.

math-ph↗

arXiv2004

Factorization method for second order functional equations

We apply general difference calculus in order to obtain solutions to the functional equations of the second order. We show that factorization method can be successfully applied to the functional case. This method is equivariant under the change of variables. Some examples of applications are presented.

math-ph↗