Nonlinear aspects of quantum plasma physics

Solution of strongly nonlinear oscillator problem arising in Plasma Physics with Newton Harmonic Balance Method

In this paper, Newton Harmonic Balance Method (NHBM) is applied to obtain the analytical solution for an electron beam injected into a plasma tube where the magnetic field is cylindrical and increases towards the axis in inverse proportion to the radius. Periodic solution is analytically verified and consequently the relation between the Natural Frequency and the amplitude is obtained in an ana...

Nonlinear Dynamics in Quantum Physics – Quantum Chaos and Quantum Instantons

We discuss the recently proposed quantum action-its interpretation, its motivation , its mathematical properties and its use in physics: quantum mechanical tunneling, quantum instantons and quantum chaos. 1. Introduction. Modern physics returns to some of its origins dating back to the first part of the last century. Examples are entanglement, according to Schrödinger the most peculiar property...

Fractal structures in nonlinear plasma physics.

Fractal structures appear in many situations related to the dynamics of conservative as well as dissipative dynamical systems, being a manifestation of chaotic behaviour. In open area-preserving discrete dynamical systems we can find fractal structures in the form of fractal boundaries, associated to escape basins, and even possessing the more general property of Wada. Such systems appear in ce...

Nonlinear Dynamics in Quantum Physics–the Study of Quantum Chaos

We use the quantum action to study the dynamics of quantum system at finite temperature. We construct the quantum action non-perturbatively and find temperature dependent action parameters. Here we apply the quantum action to study quantum chaos. We present a numerical study of a classically chaotic 2-D Hamiltonian system harmonic oscillators with anharmonic coupling. We compare Poincaré sectio...

Physics 673 : Nonlinear and Quantum Optics