Quantum dynamics at a reactive two-state conical intersection lying outside the Franck-Condon zone is studied for a prototypical reaction of ultraviolet photodissociation of ozone in the Hartley band. The focus is on the vibrational distributions in the two electronic states at intermediate interfragment distances near the intersection. Such intermediate distributions of strongly interacting ph...

We apply the method of conical singularities to calculate the tree-level entropy and its one-loop quantum corrections for a charged Kerr black hole. The Euclidean geometry for the Kerr-Newman metric is considered. We show that for an arbitrary periodization in Euclidean space there exists a conical singularity at the horizon. Its δ-function like curvatures are calculated and are shown to behave...

Autonomous navigation, site modelling and surveillance applications all benefit from using panoramic 360◦ images. Catadioptric omnidirectional sensors, consisting of a camera and a mirror, can track objects even while the robot is making sudden and significant turns. There has been much debate and theoretical analysis recently concerning the relative merits of several possible shapes of mirrors...

Let X be a translation surface of genus g > 1 with 2g − 2 conical points of angle 4π and let γ, γ′ be two homologous saddle connections of length s joining two conical points of X and bounding two surfaces S+ and S− with boundaries ∂S+ = γ − γ′ and ∂S− = γ′ − γ. Gluing the opposite sides of the boundary of each surface S+, S− one gets two (closed) translation surfaces X+, X− of genera g+, g−; g...

Applying numerical modeling coupled with experiments, we investigate the properties of wideband resonant reflectors under fully conical light incidence. We show that the wave vectors pertinent to resonant first-order diffraction under fully conical mounting vary less with incident angle than those associated with reflectors in classical mounting. Therefore, as the evanescent diffracted waves dr...