- th / 9 61 20 14 v 1 5 D ec 1 99 6 Stochastic variational method with noncentral forces

X iv : n uc l - th / 9 61 20 50 v 1 1 7 D ec 1 99 6 Variational approach to anharmonic collective motion

We derive large-amplitude collective equations of motion from the variational principle for the time-dependent Schrödinger equation. These equations reduce to the well-known diabatic formulas for vibrational frequencies in the small amplitude limit. The finite amplitude expression allows departures from harmonic behavior of giant resonances to be simply estimated. The relative shift of the seco...

ar X iv : q - a lg / 9 61 20 14 v 1 1 1 D ec 1 99 6 Integral soluitons of q - difference equations

Two integral solutions of q-difference equations of the hypergeometric type with |q| = 1 are constructed by using the double sine function. One is an integral of the Barnes type and the other is of the Euler type.

ar X iv : g r - qc / 9 61 20 09 v 1 3 D ec 1 99 6 Signal analysis of gravitational waves

X iv : n uc l - th / 9 61 20 17 v 1 9 D ec 1 99 6 A chiral bag model approach to delta electroproduction

Helicity amplitudes for the γ * N → ∆ transition are calculated using the cloudy bag model. A correction for center-of-mass motion is carried out using a modified Peierls-Thouless projection method. This reduces the magnitude of the transition amplitudes at small momentum transfer and enhances them at modest momentum transfers. Our calculation shows that the pion cloud contributes substantially...

ar X iv : s ol v - in t / 9 61 20 02 v 1 4 D ec 1 99 6 Correlators of the phase model

We introduce the phase model on a lattice and solve it using the algebraic Bethe ansatz. Time-dependent temperature correlation functions of phase operators and the " darkness formation probability " are calculated in the thermodynamical limit. These results can be used to construct integrable equations for the correlation functions and to calculate their asymptotics.