This paper describes the occurence of phase anholonomies in the context of point vortex problems for two-dimensional incompressible ows. After giving a brief description of anholo-nomic eeects in other contexts, we focus attention on the restricted three-vortex problem and a simpler modiied problem where thèHannay-Berry' phase can be computed using multi-scale asymptotic methods. Our main empha...

The effects of ethylene gas, 2-chloroethylphosphonic acid, and the auxin, benzothiazole-2-oxyacetic acid, on the ripening of grapes (Vitis vinifera L.) was investigated. Ethylene hastened the start of ripening of Doradillo grapes when it was aplied for 10 days starting midway through the slow growth phase. 2-Chloroethylphosphonic acid applied to Shiraz grapes showed the same effect, but when it...

We derive the semiclassical Bloch dynamics with second-order Berry phase correction in presence of slow-varying scalar potential as perturbation. Our mathematical derivation is based on a two-scale WKB asymptotic analysis. For uniform external electric field, bi-characteristics system after positional shift introduced by connections agrees recent result previous works. Moreover, for case linear...

Jonathan A. Jones, Vlatko Vedral, Artur Ekert and Giuseppe Castagnoli Centre for Quantum Computation, Clarendon Laboratory, Parks Road, Oxford OX1 3PU, UK OCMS, New Chemistry Laboratory, South Parks Road, Oxford OX1 3QT, UK Elsag,Via Puccini 2, 1615 Genova, Italy (February 29, 2008) An exciting recent development has been the discovery that the computational power of quantum computers exceeds t...

In this paper energy bands and Berry curvature of graphene was studied. Desired Hamiltonian regarding the next-nearest neighbors obtained by tight binding model. By using the second quantization approach, the transformation matrix is calculated and the Hamiltonian of system is diagonalized. With this Hamiltonian, the band structure and wave function can be calculated. By using calculated wave f...