Reports on Mathematical Physics 90/1

A theoretical calculation of the cosmological constant based on a mechanical model of vacuum Solutions to nonlocal nonisospectral (2+1)- dimensional breaking soliton equations On the Darboux transformations of the Drinfeld-Sokolov-Satsuma-Hirota coupled KdV system Generalized 2D extension of the q-Bessel polynomials Gradient Gibbs measures of an SOS model on Cayley trees: 4-periodic boundary laws A representation of SU (2,2) which can be interpreted as describing chronometric fermions (proton, neutrino, and electron) in terms of a single composition series Dynamics of entanglement in coherent states, entangled Schrodinger cat state and distribution function A simple test for the separability of symetric quantum states