ar X iv : c on d - m at / 0 20 51 69 v 2 2 5 Ju n 20 02 Mott insulators in strong electric fields

ar X iv : m at h - ph / 0 20 10 06 v 2 1 5 Ja n 20 02 Quasi - classical versus non - classical spectral asymptotics for magnetic Schrödinger operators with decreasing electric potentials

We consider the Schrödinger operator H on L 2 (R 2) or L 2 (R 3) with constant magnetic field, and electric potential V which typically decays at infinity exponentially fast or has a compact support. We investigate the asymptotic behaviour of the discrete spectrum of H near the boundary points of its essential spectrum. If the decay of V is Gaussian or faster, this behaviour is non-classical in...

ar X iv : h ep - p h / 02 06 17 1 v 2 2 4 Ju n 20 02 IPHE 2002 - 009 June 24 , 2002 B 0 – B 0 MIXING

ar X iv : c on d - m at / 0 20 64 78 v 1 2 5 Ju n 20 02 Currents in System of Noisy Mesoscopic Rings

A semi-phenomenological model is proposed to study dynamics and steady-states of magnetic fluxes and currents in mesoscopic rings and cylinders at non-zero temperature. The model is based on a Langevin equation for a flux subject to zero-mean thermal equilibrium Nyquist noise. Quenched randomness, which mimics disorder, is included via the fluctuating parameter method. In the noiseless case, th...

ar X iv : 0 70 4 . 17 02 v 2 [ m at h . A G ] 2 6 Ju n 20 08 THE CANONICAL VOLUME OF 3 - FOLDS OF GENERAL TYPE WITH χ ≤ 0

We prove that the canonical volume K ≥ 1 30 for all 3-folds of general type with χ(O) ≤ 0. This bound is sharp.

ar X iv : m at h - ph / 0 20 60 17 v 1 1 2 Ju n 20 02 Z 3 - graded Grassmann Variables , Parafermions and their Coherent States

A relation between the Z3-graded Grassmann variables and parafermions is established. Coherent states are constructed as a direct consequence of such a relationship. We also give the analog of the Bargmann-Fock representation in terms of these Grassmann variables.