On Duclos–Exner’s conjecture about waveguides in strong uniform magnetic fields

Coordinate Noncommutativity in Strong Non-Uniform Magnetic Fields

Noncommutativity of space coordinates has been much studied from various points of view [1-3]. It arises naturally in string theory, where it is related to the presence of strong backgrounds fields. If these are constant, one obtains the more familiar case where the coordinate noncommutativity [x, x ] is a constant antisymmetric quantity. However, if the background fields depend on the spatial ...

Neutrinos in Strong Magnetic Fields

We compute the dispersion relations for neutrinos propagating in an electroweak plasma, in the presence of very strong magnetic fields. The neutrino self-energy is calculated in the one-loop approximation. We consider only contributions of the first Landau level to the propagator of the W -bosons, and distinguish between motion parallel or perpendicular to the external magnetic field. We find t...

About the Strong Perfect Graph Conjecture on circular partitionable graphs

Inhomogeneity and Current Corrections to a Non-uniform Electronic System in Strong Magnetic Fields

Using the polarizability of a free electron gas in a magnetic field and the Current-Density Functional Theory (CDFT) developed by Vignale and Rasolt, we derive the gradient and current corrections for the energy functional of a non-uniform electronic system in a strong magnetic field. First, we find the Tomishima-Shinjo functional by neglecting the current variation. Taking into account the cur...

Plasma dynamics in pulsed strong magnetic fields

Recent investigations of the interaction of fast-rising magnetic fields with multi-species plasmas at densities of 10– 10 cm are described. The configurations studied are planar or coaxial interelectrode gaps pre-filled with plasmas, known as plasma opening switches. The diagnostics are based on time-dependent, spatially resolved spectroscopic observations. Three-dimensional spatial resolution ...