John Hannay

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John Howard Hannay (* 1951 ) is a British theoretical physicist who studies quantum chaos , theoretical optics and mechanics. He is a professor at the University of Bristol .

Hannay graduated from Cambridge University with a PhD . He has been with Bristol University since the 1980s.

In 1985 he found an analogue of Michael Berry's geometrical phase originally introduced in quantum mechanics (mathematically a holonomy effect) in classical mechanics ( Hannay Winkel ). One example is the Foucault pendulum .

In 1980, he and Michael Berry published a pioneering work on quantum chaos, which was also an early application of number theory in physics.

With Ozorio de Almeida in 1984 he introduced a molecular formula named after them into the theory of quantum chaos. They applied it to the quantum mechanical spectral correlation function and showed that this showed very different behavior depending on whether the classical behavior was periodic or chaotic.

In 2003 he received the Dirac Medal (IOP) .

Fonts

  • with Michael Berry Quantization of linear maps on a torus - Fresnel diffraction by a periodic grating , Physica D, Volume 1, 1980, pp. 267-290
  • with AMOzorio de Almeida Periodic orbits and a correlation function for the semiclassical density of states , Journal of Physics A, Volume 17, 1984, pp. 3429-3440, abstract
  • with AM Ozorio de Almeida Resonant periodic orbits and the semiclassical energy spectrum , J. Phys. A, Vol. 20, 1987, pp. 5873-5883
  • with AM Ozorio de Almeida Geometry of two dimensional tori in phase space: projections, sections and the Wigner function , Annals of Physics, Volume 138, 1982, p. 115
  • Geometric quantum phase , in Lerner, Trigg (editor) The encyclopaedia of physics , VCH 1991
  • Carnot and the fields formulation of elementary thermodynamics , American Journal of Physics, Volume 74, 2006, pp. 134-140
  • Polarization of sky light from a canopy atmosphere , New Journal of Physics, Volume 6, 2004, pp. 1-10
  • The chaotic analytic function , Journal of Physics A, Volume 31, 1998, L 755-761
  • with AM Ozorio de Almeida, Jonathan Keating Optical realization of the bakers' transformation , Nonlinearity, Volume 7, 1994, pp. 1327-1342
  • Path linking interpretation of Kirchhoff diffraction , Proc. Royal Society A, Volume 450, 1995, pp. 51-65
  • with A. Thain Exact scattering theory for any straight reflectors in two dimensions , Journal of Physics A, Volume 36, 2003, pp. 4063-4080
  • Radiative transfer: exact Rayleigh scattering series and a formula for daylight , Proc. Royal Society A, Volume 463, 2007, pp. 2729-2751

Web links

Individual evidence

  1. ^ Hannay-Fest for the 60th birthday, July 22, 2011, University of Bristol ( Memento from December 16, 2005 in the Internet Archive )
  2. Hannay Angle variable holonomy in adiabatic excursion of an integrable Hamiltonian , Journal of Physics A, Volume 18, 1985, pp. 221-230