Sökning: "Hamiltonian"
Visar resultat 1 - 5 av 142 avhandlingar innehållade ordet Hamiltonian.
1. Relativistic particle mechanics : a hamiltonian approach
Sammanfattning : This study is devoted to certain fundamental problems within theoretical physics. The aim is to show that there exists a consistent Poincare invariant Hamiltonian formalism describing interactions between any number of discrete particles forming an isolated (in general spinning) system. No fields or potentials are needed for the description. LÄS MER
2. Wave interactions by Hamiltonian methods
Sammanfattning : This thesis is devoted to the description of fluids and gases from a Hamiltonian point of view. The method we apply is a development of the theory invented by Hamilton (1805-1865). The original formulation is restricted to a certain family of dynamical variables; the canonical variables. LÄS MER
3. Symplectic methods for Hamiltonian isospectral flows and 2D incompressible Euler equations on a sphere
Sammanfattning : The numerical solution of non-canonical Hamiltonian systems is an active and still growing field of research. At the present time, the biggest challenges concern the realization of structure preserving algorithms for differential equations on infinite dimensional manifolds. Several classical PDEs can indeed be set in this framework. LÄS MER
4. Hamiltonian systems with Poisson commuting integrals
Sammanfattning : The purpose of this thesis is to study Hamiltonian systems with Poisson commuting integrals near a stationary point - a situation appearing in many problems of classical mechanics.It turns out that these integrals, under fairly general conditions on their quadratic parts, become singular (their gradients become linearly dependent) on symplectic submanifolds, giving rise to invariant manifolds for the Hamiltonian system - the singular manifolds. LÄS MER
5. Simple homotopy type of the Hamiltonian Floer complex
Sammanfattning : For an aspherical symplectic manifold M, closed or with convex contact boundary, and with vanishing first Chern class, a Floer chain complex is defined for Hamiltonians linear at infinity with coefficients in the group ring of the fundamental group of M. For two non-degenerate Hamiltonians of the same slope continuation maps are shown to be simple homotopy equivalences. LÄS MER
