The free photon dispersion relation is a reference quantity for high precision tests of Lorentz Invariance. We first outline effective approaches to a conceivable Lorentz Invariance Violation (LIV). Next we address phenomenological tests based on the propagation of cosmic rays, in particular in Gamma Ray Bursts (GRBs). As a specific concept, which could imply LIV, we then focus on field theory ...

Cooper pairing in two (2D) and three (3D) dimensions is analyzed with a set of renormalized equations to determine its binding energy for any fermion number density and all coupling assuming a (possibly singular) pairwise residual inter-fermion interaction. Cooper pairs (CPs) with non-zero center-of-mass momentum (CMM)—usually neglected in BCS theory—are also considered and their binding energy...

We use asymptotic analysis and a near-identity normal form transformation from water wave theory to derive a 1+1 unidirectional nonlinear wave equation that combines the linear dispersion of the Korteweg-deVries (KdV) equation with the nonlinear/nonlocal dispersion of the Camassa-Holm (CH) equation. This equation is one order more accurate in asymptotic approximation beyond KdV, yet it still pr...

Subspace Packing Dan Deng, Student Member, IEEE, and Jinkang Zhu, Member, IEEE Abstract: A new method to design codebook is proposed for Linear Dispersion Code (LDC) systems with limited feedback. The extended codebook design method is introduced based on Grassmannian subspace packing and a mapping function, which is derived from the relationship between SVDs of the classical multiplexing syste...

In this paper, we describe a new trajectory correction technique for high energy linear accelerators. Current correction techniques force the beam trajectory to follow misalignments of the Beam Position Monitors (BPMs). Since the particle bunch has a finite energy spread and particles with different energies are deflected differently, this causes " chromatic " dilution of the transverse beam em...

PAMAM (polyamidoamine) dendrimers have been recently exploited as efficient and biocompatible unimolecular micelles for oil spill remediation utilizing their robust encapsulation capability. However, experimental evidence suggested that contrasting dispersion mechanisms of PAMAM exist toward different types of hydrocarbon ligands, including linear and polyaromatic oil molecules. Specifically, t...

Among the many interesting features displayed by graphene, one of the most attractive is the simplicity with which its electronic structure can be described. The study of its physical properties is significantly simplified by the linear dispersion relation of electrons in a narrow range around the Fermi level. Unfortunately, the mathematical simplicity of graphene electrons is limited only to t...

Chromatic dispersion is one of the most significant impairments in long-distance fiber-optical communications. Electrical domain compensation of optical chromatic dispersion by signal predistortion using digital processing is investigated with two different approaches: using a linear digital FIR compensating filter and using a nonlinear filter based on a look-up table (LUT). The linear compensa...

To improve performance of orthogonal frequency division multiplexing (OFDM) for fading channels, linear dispersion coded OFDM (LDC-OFDM) was recently proposed to increase frequency and time diversity with high bandwith efficiency and performance. The performance of recently proposed LDC-OFDM was investigated through simulations. This paper analyzes the diversity aspects of LDCOFDM system, and s...

Multiple-input multiple-output (MIMO) wireless communication systems provide high capacity due to the plurality of modes available in the channel. Existing signaling techniques for MIMO systems have focused primarily on multiplexing for high data rate or diversity for high link reliability. In this paper, we present a new linear dispersion code design for MIMO Rayleigh fading channels. The prop...