ar X iv : h ep - t h / 02 12 26 7 v 2 2 4 D ec 2 00 2 Classical and Quantum Nambu Mechanics

ar X iv : h ep - t h / 95 07 12 5 v 1 2 4 Ju l 1 99 5 Aspects of Classical and Quantum Nambu Mechanics

We present recent developments in the theory of Nambu mechanics, which include new examples of Nambu-Poisson manifolds with linear Nambu brackets and new representations of Nambu-Heisenberg commutation relations. Mathematics Subject Classification (1991) 70H99, 58F07

ar X iv : h ep - t h / 94 12 02 2 v 1 2 D ec 1 99 4 Interacting anyons and the Darwin Lagrangian

We propose a new model for interacting (electrically charged) anyons, where the 2+1-dimensional Darwin term is responsible for interactions. The Hamiltonian is comparable with the one used previously (in the RPA calculation).

ar X iv : h ep - t h / 04 08 12 5 v 1 1 7 A ug 2 00 4 Field theoretic models on covariant quantum spaces

ar X iv : h ep - t h / 02 12 05 8 v 1 4 D ec 2 00 2 Dirac ’ s Magnetic Monopoles ( Again )

Dirac's quantization of magnetic monopole strength is derived without reference to a (singular, patched) vector potential.

ar X iv : h ep - t h / 05 12 02 6 v 1 2 D ec 2 00 5 Slowly decaying classical fields , unitarity , and gauge invariance

In classical external gauge fields that fall off less fast than the inverse of the evolution parameter (time) of the system the implementability of a unitary perturbative scattering operator (S-matrix) is not guaranteed, although the field goes to zero. The importance of this point is exposed for the counter-example of low-dimensionally expanding systems. The issues of gauge invariance and of t...