6 M ay 2 00 3 Bandwidth reduction in rectangular grids

2 3 M ay 2 00 7 Mesoscopic effective material parameters for thin layers modeled as single and double grids of interacting loaded wires

As an example of thin composite layers we consider single and double grids of periodically arranged interacting wires loaded with a certain distributed

Edge-bandwidth of grids and tori

The edge-bandwidth of a graph G is the smallest number B ′ for which there is a bijective labeling of E(G) with {1, . . . , e(G)} such that the difference between the labels at any adjacent edges is at most B ′. Here we compute the edge-bandwidth for rectangular grids: B ′(Pm Pn)= 2min(m, n)− 1 if max(m, n) 3, where is the Cartesian product and Pn denotes the path on n vertices. This settles a ...

ar X iv : a st ro - p h / 06 05 51 4 v 1 2 0 M ay 2 00 6 Solutions of pulsar equation by finding the source term

An algorithm of finding numerical solutions of pulsar equation is presented which is essentially different from the one used in the pioneering paper by Contopoulos, Kazanas & Fendt. The problem of finding the solutions was reduced to finding expansion coefficients of the source term in a base of orthogonal functions on the unit interval by minimizing a multi-variable mismatch function defined o...

0 50 60 66 v 2 3 M ay 2 00 6 Existence of Spontaneous Pair Creation

ar X iv : m at h - ph / 0 00 50 19 v 1 1 6 M ay 2 00 0 2 and 3 - dimensional Hamiltonians with Shape Invariance Symmetry

Via a special dimensional reduction, that is, Fourier transforming over one of the coordinates of Casimir operator of su(2) Lie algebra and 4-oscillator Hamiltonian, we have obtained 2 and 3 dimensional Hamiltonian with shape invariance symmetry. Using this symmetry we have obtained their eigenspectrum. In the mean time we show equivalence of shape invariance symmetry and Lie algebraic symmetry...