77 citations · 461 across the 38 of their papers we have counts for
11 papers · 1 filter
On CCGG, the De Donder-Weyl Hamiltonian formulation of canonical gauge gravity
D. Vasak, J. Kirsch, A. van de Venn +2
This paper gives a brief overview of the manifestly covariant canonical gauge gravity (CCGG) that is rooted in the De Donder-Weyl Hamiltonian formulation of relativistic field theo…
Exact invariants for a class of three-dimensional time-dependent classical Hamiltonians
Jürgen Struckmeier, Claus Riedel
An exact invariant is derived for three-dimensional Hamiltonian systems of particles confined within a general velocity-independent potential. The invariant is found to contain…
Improved envelope and emittance description of particle beams using the Fokker-Planck approach
Jürgen Struckmeier
Beam dynamics calculations that are based on the Vlasov equation do not permit the the treatment of stochastic phenomena such as intra-beam scattering. If the nature of the stochas…
The problem of self-consistent particle phase space distributions for periodic focusing channels
Jürgen Struckmeier, Ingo Hofmann
Charged particle beams that remain stationary while passing through a transport channel are represented by ``self-consistent'' phase space distributions. As the starting point, we…
Hamiltonian dynamics on the symplectic extended phase space for autonomous and non-autonomous systems
Jürgen Struckmeier
We will present a constrained description of Hamiltonian dynamics on the ``symplectic extended phase space'' that is analogous to that of a time-independent Hamiltonian system on t…
Covariant Canonical Gauge Theory of Classical Gravitation for Scalar, Vector, and Spin-1/2 Particle Fields
David Vasak, Jürgen Struckmeier
The framework of the Covariant Canonical Gauge theory of Gravity (CCGG) is described in detail. CCGG emerges naturally in the Palatini formulation, where the vierbein and the spin…
Stochastic effects in real and simulated charged particle beams
Jürgen Struckmeier
The Vlasov equation embodies the smooth field approximation of the self-consistent equation of motion for charged particle beams. This framework is fundamentally altered if we incl…
Noether's theorem and Lie symmetries for time-dependent Hamilton-Lagrange systems
Jürgen Struckmeier, Claus Riedel
Noether and Lie symmetry analyses based on point transformations that depend on time and spatial coordinates will be reviewed for a general class of time-dependent Hamiltonian syst…
Invariants for time-dependent Hamiltonian systems
Jürgen Struckmeier, Claus Riedel
An exact invariant is derived for -degree-of-freedom Hamiltonian systems with general time-dependent potentials. The invariant is worked out in two equivalent ways. In the first…
Torsion driving cosmic expansion
Johannes Kirsch, David Vasak, Armin van de Venn +1
We study a cosmological model based on the canonical Hamiltonian transformation theory. Using a linear-quadratic approach for the free gravitational De Donder-Weyl Hamiltonian $H_\…
Energy-second-moment map analysis as an approach to quantify the irregularity of Hamiltonian systems
Jürgen Struckmeier, Andreas Redelbach
A different approach will be presented that aims to scrutinize the phase-space trajectories of a general class of Hamiltonian systems with regard to their regular or irregular beha…