We have extended measures of bipartite entanglement to measures of multipartite entanglement for pure states. To better grasp the different ways in which a multipartite state may be entangled, we...Show moreWe have extended measures of bipartite entanglement to measures of multipartite entanglement for pure states. To better grasp the different ways in which a multipartite state may be entangled, we first give a more general definition of entanglement that is based on partitions of the particles. Then we present a measure corresponding to this definition and use both analytic and computational methods to gain insight in the manner in which the Wn and GHZn states are entangled. Although the overall entanglement of two general multipartite states is not straightforwardly comparable we conclude that the Wn states are less entangled than GHZn states for every partition of the particles.Show less
In this thesis toroidal plasmas are described by a Hamiltonian system parameterising the magnetic field lines. Application of KAM and Melnikov theory explains the occurance of chaotic island chains...Show moreIn this thesis toroidal plasmas are described by a Hamiltonian system parameterising the magnetic field lines. Application of KAM and Melnikov theory explains the occurance of chaotic island chains bounded by invariant manifolds. In plasma simulations and experiments island chains have shown to be rather stable. This thesis provides a theoretical but nonrigorous argument for this stability and proposes the description of magnetohydrodynamics as a Hamiltonian field theory as a method to rigorously study the stability. Hypotheses are given for a generalisation to nontoroidal structures.Show less
