We calculate the transformation and inverse transformation, in the form of Taylor expansions, from arbitrary coordinates to Fermi-Walker coordinates in tubular neighborhoods of arbitrary timelike paths for general spacetimes. Explicit formulas for coefficients and the Jacobian matrix are given.

M. Dann, J. Nyéki,* B. P. Cowan, and J. Saunders Millikelvin Laboratory, Department of Physics, Royal Holloway University of London, Egham, Surrey, TW20 0EX, United Kingdom (Received 28 January 1999) Measurements are reported of the heat capacity of 3He bound to an atomically layered 4He film on the surface of graphite. At 3He coverages n3 , 4 nm22, the 3He forms a uniform 2D Fermi system. Ther...

Para-Fermi statistics and Fermi statistics are known to be associated with particular representations of the Lie algebra so(2n+1)≡ Bn. Similarly paraBose and Bose statistics are related with the Lie superalgebra osp(1|2n)≡ B(0|n). We develop an algebraical framework for the generalization of quantum statistics based on the Lie algebras An, Bn, Cn and Dn.

We derive error estimates in the appropriate norms, for the streamlinediffusion (SD) finite element methods for steady state, energy dependent,Fermi equation in three space dimensions. These estimates yield optimal convergencerates due to the maximal available regularity of the exact solution.High order SD method together with implicit integration are used. The formulationis strongly consistent...

X iv :h ep -t h/ 06 11 04 4v 1 4 N ov 2 00 6 Bose Fermi Supersymmetry with Bogoliubov transforms in Cosmology Ajay Patwardhan Physics Department, St Xaviers college, Mahapalika Marg, Mumbai, India ABSTRACT Field theory including Supersymmetry and Bose Fermi symmetry is an active subject of particle physics and cosmology. Recent and expected observational evidence gives indicators for the creati...

where Δpu = div(|∇u|p−2∇u) is the p-Laplacian of u with 1 < p < ∞, and λ is a real parameter. Moreover, Ω is a smooth bounded domain in RN , N ≥ 1, whose boundary ∂Ω is made of two disjoint nonempty closed sets Γ1 and Γ2 which are smooth manifolds of dimension N − 1, m and n are weights which may be indefinite and unbounded, ∂/∂ν denotes the exterior normal derivative, and u± = max{±u,0}. The m...

We present an analytical study of the Fermi–Pasta–Ulam (FPU) α– model with periodic boundary conditions. We analyze the dynamics corresponding to initial data with some low frequency Fourier modes excited. We show that, correspondignly, a pair of KdV equations constitute the resonant normal form of the system. We also use such a normal form in order to prove the existence of a metastability phe...