where X is the vector potential. The results obtheory developed here and in SP with which the experiments give qualitative verification is ent-'rely based on the assumption that in the presence of a magnetic field, the Hamiltonian for the surfacestate levels is given by the replacement tained here indicate that this approximation remains valid when cubic terms are involved in the band structure,

We use a boolean cellular automaton model to describe the diffusion limited dynamics of the irreversible reaction A+A → A+ S on a 1D lattice. We derive a set of equations for the dynamics of the empty interval probabilities from which explicit expressions for the particle concentration and the two point correlation can be obtained. It is shown that the long time dynamics is in agreement with th...

The phonon dispersion curves of Cu 0 have been calculated using 2 a shell model which takes into account nearest neighbour 0-Cu, Cu-Cu and 0-0 interactions, long range Coulomb interactions and the electronic polarizability of both the oxygen and the copper ions. The results are compared with the data obtained from ultrasound, infrared, Raman and inelastic neutron scattering measurements. The in...

We consider a class of Hamiltonian nonlinear wave equations governing a field defined on a spatially discrete one dimensional lattice, with discreteness parameter, d = h −1 , where h > 0 is the lattice spacing. The specific cases we consider in detail are the discrete sine-Gordon (SG) and discrete φ 4 models. For finite d and in the continuum limit (d → ∞) these equations have static kink-like ...

I. Yu. Sklyadneva,1,2,3,4 R. Heid,1 K.-P. Bohnen,1 V. Chis,2 V. A. Volodin,5,6 K. A. Kokh,7 O. E. Tereshchenko,5,6 P. M. Echenique,2,8,9 and E. V. Chulkov2,8,9 1Institut für Festkörperphysik, Karlsruher Institut für Technologie, D-76021 Karlsruhe, Germany 2Donostia International Physics Center, 20018 San Sebastián/Donostia, Basque Country, Spain 3Tomsk State University, 634050, Tomsk, Russian F...

The lattice dynamics of C60 has been studied first by means of group theory and then by diagonalizing the dynamical matrix for two recently proposed intermolecular potentials. The libron and phonon energies are calculated as a function of momentum along various symmetry directions with and without phonon–libron interactions. The effects of these interactions on the density of states are also di...

The objective of this chapter is to describe how equilibrium molecular dynamics simulations (with the help of harmonic lattice dynamics calculations) can be used to predict phonon properties and thermal conductivity using normal mode decomposition. The molecular dynamics and lattice dynamics methods are reviewed and the normal mode decomposition technique is described in detail. The application...

Abstract This paper presents a formalism describing the dynamics of a quantum particle in a onedimensional, time-dependent, tilted lattice. The formalism uses the Wannier-Stark states, which are localized in each site of the lattice, and provides a simple framework allowing fully-analytical developments. Analytic solutions describing the particle motion are explicit derived, and the resulting d...