Spectra generated by a confined softcore Coulomb potential

Turbulent spectra generated by singularities

Magnetohydrodynamically generated velocities in confined plasma

It is shown numerically that both toroidal and poloidal rotational flows are intrinsic to a rigid toroid confining a conducting magnetofluid in which a current is driven by the application of externally-supported electric and magnetic fields. The computation involves no microscopic instabilities or kinetic theory and is purely magnetohydrodynamic (MHD) in nature. The properties and intensity of...

Temperature-resonant cyclotron spectra in confined geometries.

We consider a two-dimensional gas of colliding charged particles confined to finite size containers of various geometries and subjected to a uniform orthogonal magnetic field. The gas spectral densities are characterized by a broad peak at the cyclotron frequency. Unlike for infinitely extended gases, where the amplitude of the cyclotron peak grows linearly with temperature, here confinement ca...

Supersymmetric variational energies for the confined Coulomb system

The methodology based on the association of the Variational Method with Supersymmetric Quantum Mechanics is used to evaluate the energy states of the confined hydrogen atom.

On the Spectra of Certain Matrices Generated by Involutory Automorphisms

Abstract. Let A = P +K be an n×n complex matrix with P = 1 2 (A−HAH) and K = 1 2 (A+ HAH), H being a unitary involution. Having characterised all unitary involutions, we investigate the spectral structure of P and K and, in particular, characterise the eigenvalues of K as zeros of a rational function and prove that, for normal A, σ(K) resides in the convex hull of σ(A). We also demonstrate that...