Let H = −∆+V , where V is a real valued potential on R satisfying |V (x)| . 〈x〉−3−. We prove that if zero is a regular point of the spectrum of H = −∆ + V , then ‖wePacf‖L∞(R2) . 1 |t| log(|t|) ‖wf‖L1(R2), |t| > 2, with w(x) = log(2 + |x|). This decay rate was obtained by Murata in the setting of weighted L spaces with polynomially growing weights.

The explicit energy dependence of the single particle self-energy (dispersive effects), due to short range correlations, is included in the treatment of neutron matter superfluidity. The method can be applied in general to strong interacting fermion systems, and it is expected to be valid whenever the pairing gap is substantially smaller than the Fermi kinetic energy. The results for neutron ma...

A. Wicht,* R.-H. Rinkleff, L. Spani Molella, and K. Danzmann Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Teilinstitut Hannover, Callinstrasse 38, D-30167 Hannover, Germany Institut für Atomund Molekülphysik, Abteilung Spektroskopie, Universität Hannover, Callinstrasse 38, D-30167 Hannover, Germany ~Received 14 May 2002; revised manuscript received 6 September 2002; pub...

One dimensional propagation of ultraslow optical pulses in an atomic BoseEinstein condensate taking into account the dispersion and the spatial inhomogeneity is investigated. Analytical and semi-analytical solutions of the dispersive inhomogeneous wave equation modeling the ultraslow pulse propagation are developed and compared against the standard wave equation solvers based upon Cranck-Nichol...

we present here, a haar wavelet method for a class of third order partial dierentialequations (pdes) arising in impulsive motion of a flat plate. we also, present adomaindecomposition method to find the analytic solution of such equations. efficiency andaccuracy have been illustrated by solving numerical examples.

in this paper, nonlinear klein-gordon equation with quadratic term is solved by means of an analytic technique, namely the homotopy analysis method (ham).comparisons are made between the adomian decomposition method (adm), the exact solution and homotopy analysis method. the results reveal that the proposed method is very effective and simple.

in this paper, the goursat problem of a third order equation on cases of explicit solvability isinvestigated, with the help of the riemann function. some results and one theorem are given concerning theexistence and uniqueness for the solution of the suggested problem.