The form of the wavefunction $ for a semiclassical regular quantum state (associated with classical motion on an N-dimensional torus in the 2N-dimensional phase space) is very different from the formâ€¦ (More)

Self-images of a grating with period a, illuminated by light of wavelength Ì§, are produced at distances z that are rational multiples p /q of the Talbot distance zT = a / Ì§; each unit cell of aâ€¦ (More)

Ideas from singularity theory provide a simple account of the pattern of polarization directions in daylight. The singularities (two near the Sun and two near the anti-Sun) are points in the skyâ€¦ (More)

We study the wavefronts (i.e. the surfaces of constant phase) of the wave discussed by Aharonov and Bohm, representing a beam of particles with charge q scattered by an impenetrable cylinder ofâ€¦ (More)

Our earlier arguments (Berry, M V & Robbins, J M 1997, Proc. Roy. Soc. Lond. A453 1771-1790) leading to the spin-statistics relation are summarized and then revisited. Constructions are describedâ€¦ (More)

Young's pioneering studies of interference have led to fundamental developments in wave physics. Supernumerary rainbows were the first example of diffraction associated with caustics. Cotidal linesâ€¦ (More)

Energy trajectories, that is, integral curves of the Poynting (current) vector, are calculated for scalar Bessel and Laguerre-Gauss beams carrying orbital angular momentum. The trajectories for theâ€¦ (More)

Structured light refers to the generation and application of custom light fields. As the tools and technology to create and detect structured light have evolved, steadily the applications have begunâ€¦ (More)

Probably not. PACS numbers: 03.65.Ta, 03.65.Xp, 14.60.Pq If recent measurements [1] suggesting that neutrinos travel faster than light survive scrutiny, the question of their theoreticalâ€¦ (More)

spectral statistics, mixed systems, bifurcations For systems that are neither fully integrable nor fully chaotic, bifurcations of periodic orbits give rise to semiclassically emergent singularitiesâ€¦ (More)