ar X iv : m at h - ph / 0 21 10 28 v 2 1 1 N ov 2 00 3 Geometric integrators and nonholonomic mechanics

ar X iv : h ep - l at / 0 11 00 06 v 3 6 N ov 2 00 1 1 Matrix elements of ∆ S = 2 operators with Wilson fermions

ar X iv : 0 71 1 . 41 28 v 1 [ m at h - ph ] 2 6 N ov 2 00 7 Mean field limit for bosons and infinite dimensional phase - space analysis

This article proposes the construction of Wigner measures in the infinite dimensional bosonic quantum field theory, with applications to the derivation of the mean field dynamics. Once these asymptotic objects are well defined, it is shown how they can be used to make connections between different kinds of results or to prove new ones.

ar X iv : m at h - ph / 0 40 80 37 v 1 2 4 A ug 2 00 4 Integrable nonholonomic geodesic flows on compact Lie groups ∗

This paper is a review of recent results on integrable nonholonomic geodesic flows of left–invariant metrics and leftand right–invariant constraint distributions on compact Lie groups.

ar X iv : m at h - ph / 0 31 10 01 v 4 3 N ov 2 00 4 Clifford Valued Differential Forms , Algebraic Spinor Fields

ar X iv : m at h - ph / 0 51 00 88 v 1 2 6 O ct 2 00 5 Quasi - Chaplygin Systems and Nonholonimic Rigid Body Dynamics ∗

We show that the Suslov nonholonomic rigid body problem studied in [10, 13, 26] can be regarded almost everywhere as a generalized Chaplygin system. Furthermore, this provides a new example of a multidimensional nonholonomic system which can be reduced to a Hamiltonian form by means of Chaplygin reducing multiplier. Since we deal with Chaplygin systems in the local sense, the invariant manifold...