ar X iv : c on d - m at / 0 00 64 62 v 3 1 9 M ar 2 00 1 Uniaxial Lifshitz Point at O ( ǫ 2 L )

ar X iv : 0 90 3 . 05 62 v 1 [ as tr o - ph . G A ] 3 M ar 2 00 9 Introduction to Millimeter / Sub - Millimeter

X iv : 0 90 3 . 53 76 v 1 [ m at h - ph ] 3 1 M ar 2 00 9 Lifshitz tails for the Interband Light Absorption Coefficient W Kirsch

In this paper we consider the Interband Light Absorption Coefficient for various models. We show that at the lower and upper edges of the spectrum the Lifshitz tails behaviour of the density of states implies similar behaviour for the ILAC at appropriate energies. The Lifshitz tails property is also exhibited at some points corresponding to the internal band edges of the density of states.

ar X iv : h ep - l at / 0 11 00 06 v 2 3 O ct 2 00 1 1 Matrix elements of ∆ S = 2 operators with Wilson fermions

ar X iv : m at h - ph / 0 30 30 72 v 1 3 1 M ar 2 00 3 Eigenvalue asymptotics for the Schrödinger operator with a δ - interaction on a punctured surface

Given n ≥ 2, we put r = min{ i ∈ N; i > n/2 }. Let Σ be a compact, Cr-smooth surface in Rn which contains the origin. Let further {Sǫ}0≤ǫ<η be a family of measurable subsets of Σ such that supx∈Sǫ |x| = O(ǫ) as ǫ → 0. We derive an asymptotic expansion for the discrete spectrum of the Schrödinger operator −∆−βδ(·−Σ\Sǫ) in L2(Rn), where β is a positive constant, as ǫ → 0. An analogous result is g...

ar X iv : 0 70 9 . 05 64 v 1 [ m at h . C O ] 5 S ep 2 00 7 3 - bounded Property in a Triangle - free Distance - regular Graph ∗

Let Γ denote a distance-regular graph with classical parameters (D, b, α, β) and D ≥ 3. Assume the intersection numbers a1 = 0 and a2 6= 0. We show Γ is 3-bounded in the sense of the article [D-bounded distance-regular graphs, European Journal of Combinatorics(1997)18, 211-229].