The Moller operators and the asociated Lippman-Schwinger equations obtained from different partitionings of the Hamiltonian for a step-like potential barrier are worked out, compared and related.

The potential energy of a static charge distribution on a lattice is rigorously computed in the standard compact quantum electrodynamic model. The method used follows closely that of Weyl for ordinary quantum electrodynamics in continuous space-time. The potential energy of the static charge distribution is independent of temperature and can be calculated from the lattice version of Poisson's e...

We propose a mechanism to trap massive vector fields as a photon on the Randall-Sundrum brane embedded in the five dimensional AdS space. This localization-mechanism of the photon is realized by considering a brane action, to which a quadratic potential of the bulk-vector fields is added. We also point out that this potential gives very severe constraints on the fluctuations of the vector field...

We consider two dimensional topological Landau-Ginzburg models. In order to obtain the free energy of these models, and to determine the Kähler potential for the marginal perturbations, one needs to determine flat or ‘special’ coordinates that can be used to parametrize the perturbations of the superpotentials. This paper describes the relationship between the natural Landau-Ginzburg parametriz...

The shortand intermediate-distance behaviour of the hybrid adiabatic potentials is calculated in the framework of the QCD string model. The calculations are performed with the inclusion of Coulomb force. Spin-dependent force and the so-called string correction term are treated as perturbation at the leading potential-type regime. Reasonably good agreement with lattice measurements takes place f...

Control based on artiicial potentials results in bounded-torque controllers. We extend this notion by devising energy-reference controllers that use harmonic potentials to produce collision-free kinodynamic behavior. In addition, the phase space structure of a manipulator controlled by an artiicial potential \copies" the critical point structure of that potential. This result is used in conjunc...

We evaluate the p–wave K − N amplitudes from the chiral Lagrangians and from there construct the p–wave part of the K − nucleus optical potential plus a small s–wave part induced from the elementary p–wave amplitude and the nuclear Fermi motion. Simultaneously, the momentum and energy dependence of the s–wave optical potential, previously developed, are taken into account and shown to generate ...