/ 94 12 09 8 v 1 1 2 D ec 1 99 4 On the classical κ - particle

ar X iv : h ep - t h / 94 12 09 9 v 1 1 2 D ec 1 99 4 Poisson Poincaré groups

We present almost complete list of normal forms of classical r-matrices on the Poincaré group.

ua nt - p h / 99 12 09 4 v 1 2 1 D ec 1 99 9 Coherent states for a particle on a sphere

The coherent states for a particle on a sphere are introduced. These states are labelled by points of the classical phase space, that is the position on the sphere and the angular momentum of a particle. As with the coherent states for a particle on a circle discussed in Kowalski K et al 1996 J. Phys. A 29 4149, we deal with a deformation of the classical phase space related with quantum fluctu...

ar X iv : h ep - t h / 94 12 15 6 v 1 1 8 D ec 1 99 4 Quantal Overlapping Resonance Criterion : the Pullen Edmonds Model

ar X iv : h ep - t h / 94 12 09 1 v 1 1 1 D ec 1 99 4 Solutions of n - simplex Equation from Solutions of Braid Group Representation 1

It is shown that a kind of solutions of n-simplex equation can be obtained from representations of braid group. The symmetries in its solution space are also discussed.

ua nt - p h / 98 12 07 9 v 1 2 8 D ec 1 99 8 Neutral Particles Magnetic traps : Quantum Mechanical Vs . Classical Mechanics Analysis

We study, both classically and quantum-mechanically, the problem of a neutral particle with spin S, mass m and magnetic moment µ, moving in two-dimensions in an inhomogeneous magnetic field given by B = B ′ ⊥ (xˆx − yˆy) + B 0 ˆ z. We identify K ≡ S 2 (B ′ ⊥) 2 µmB 3 0 , which is the ratio between the precessional frequency of the particle and its vibration frequency, as the relevant parameter ...