ar X iv : c on d - m at / 9 60 41 18 v 1 1 6 A pr 1 99 6 Entangled Polymer Rings in 2 D and Confinement

X iv : c on d - m at / 9 60 41 18 v 2 1 7 A pr 1 99 6 Entangled Polymer Rings in 2 D and Confinement

05.90 +m Other topics in statistical physics and thermodynamics 36.20 Macromolecules and polymeric molecules 1

ar X iv : c on d - m at / 9 60 31 90 v 1 2 9 M ar 1 99 6 The Four - Dimensional XY Spin Glass

ar X iv : c on d - m at / 9 60 31 41 v 1 2 1 M ar 1 99 6 March 1996 A remark on off - diagonal long - range order

In this work, we study some general property of a strongly correlated electron system defined on a lattice. Assuming that the lattice system exhibits off-diagonal long-range order, we show rigorously that this assumption would lead to Meissner effect. This generalizes previous results of continuous case to a lattice electron system.

ar X iv : c on d - m at / 9 60 51 41 v 1 2 2 M ay 1 99 6 Spread width for two interacting particles in one - dimensional random potential

For two interacting particles (TIP) in one-dimensional random potential the dependence of the spread width Γ, the local density of states and the TIP localization length on system parameters is determined analytically. The theoretical predictions for Γ are confirmed by numerical simulations.

ar X iv : c on d - m at / 9 60 41 30 v 1 2 1 A pr 1 99 6 IASSNS - 96 / 33 Complexity , Tunneling and Geometrical Symmetry

It is demonstrated in the context of the simple one-dimensional example of a barrier in an infinite well, that highly complex behavior of the time evolution of a wave function is associated with the almost degeneracy of levels in the process of tunneling. Degenerate conditions are obtained by shifting the position of the barrier. The complexity strength depends on the number of almost degenerat...