# Berry, Michael V.

Overview
Works: 25 works in 97 publications in 2 languages and 1,789 library holdings Conference proceedings  History Editor QB981, 523.1
Publication Timeline
1960 | |2010
Key
Publications by Michael V Berry
Most widely held works about Michael V Berry

Most widely held works by Michael V Berry
Principles of cosmology and gravitation by Michael V Berry ( Book )
39 editions published between 1976 and 2001 in English and Undetermined and held by 1,020 WorldCat member libraries worldwide
Dynamical chaos : proceedings of a Royal Society Discussion Meeting held on 4 and 5 February 1987 by R. Stephen Berry ( Book )
25 editions published between 1987 and 1989 in English and Undetermined and held by 415 WorldCat member libraries worldwide
The diffraction of light by ultrasound by Michael V Berry ( Book )
8 editions published in 1966 in English and held by 301 WorldCat member libraries worldwide
Dynamical chaos : a discussion by Royal Society (Great Britain) ( Book )
2 editions published in 1987 in English and held by 9 WorldCat member libraries worldwide
Special issue on singular optics : selected papers from the NATO Advanced Research Workshop on Singular Optics (Kiev, Ukraine, 24-28 June 2003) by NATO Advanced Research Workshop on Singular Optics ( Book )
2 editions published in 2004 in English and held by 7 WorldCat member libraries worldwide
Semi-classical mechanics in phase space : a study of Wigner's function by Michael V Berry ( Book )
2 editions published in 1977 in English and held by 3 WorldCat member libraries worldwide
The statistical properties of echoes diffracted from rough surfaces by Michael V Berry ( Book )
1 edition published in 1973 in English and held by 3 WorldCat member libraries worldwide
The political economy of Australian urbanisation by Michael Berry ( Book )
1 edition published in 1984 in English and held by 3 WorldCat member libraries worldwide
The geometric phase anticipations and analogies by Michael V Berry ( Visual )
1 edition published in 1991 in English and held by 2 WorldCat member libraries worldwide
Michael Berry, F.R.S., Royal Society Research Professor at the University of Bristol, England, presents a "not-very-technical" lecture concerning "mathematical phenomena," his term for various occurrences in physics which benefit from the application of a unifying concept, such as the geometric phase, an anholonomy. Examples discussed include changes in the direction and polarization of light, molecular degeneracy, crystal and wave dislocations and disclinations, and the Aharonov- Bohm effect, as well as some recent developments such as the geometric amplitude and the classical limit of the geomtric phase. A secondary theme is the analogies between different wave phenomena. He also briefly traces the "geometric" intellectual thread of work done at Bristol over the years under the leadership of Sir Charles Frank
Aspects of semiclassical mechanics by M. Victoria Berry ( Book )
1 edition published in 1980 in English and held by 2 WorldCat member libraries worldwide
Classical billiards in magnetic field by Marko Robnik ( )
1 edition published in 1985 in English and held by 2 WorldCat member libraries worldwide
A particle moves in circular arcs with Larmor radius R between specular reflections at the smooth convex boundary of a planar region. The dynamics depends on the value of R in relation to the extreme curvature radii $\rho$min and $\rho$max and the radius R* of the largest circle that can be inscribed in the boundary. For R<R* some orbits are complete Larmor circles and constitute an integrable component of the motion; all other orbits bounce repeatedly. For $\rho$min<R<$\rho$max there are 'flyaway intervals' on the boundary for which glancing orbits are a powerful source of chaos in the map (on the phase cylinder) relating successive bounces; this type of chaos is a characteristic feature of magnetic billiard. For sufficiently large R the simplest closed orbits consist of two arcs associated with diameters of the boundary; their existence and stability can be determined. In several regimes where motion consists of short skips between nearby boundary points (includings the strong-field case R$\to$0), an explicit adiabatic invariant can be found which gives an excellent approximation to the exact invariant curves in these regimes. Computations for a magnetic billiard with elliptic boundary illustrate the theory
False time-reversal violation and energy level statistics: the role of anty-unitary symmetry by Marko Robnik ( )
1 edition published in 1986 in English and held by 2 WorldCat member libraries worldwide
We extend the classification of symmetries necessary to predict the universality class of spectral fluctuations of quantal systems whose classical motion is chaotic, by explaining that a system with neither time-reversal symmetry (T) nor geometric symmetry may display the spectral statistics of the Gaussian orthogonal ensemble (GOE), rather than those of the Gaussian unitary ensemble (GUE), provided it possesses instead some combination of symmetries which includes T. Such combinations constitute invariance under anti-unitary transformations (whose classical analogue we call anticanonical). For a particle in a magnetic field B plus scalar potential V, an example is TSx where Sx is a mirror reflection under which B and V are invariant. We illustrate this numerically for a single flux line in a hard-walled enclosure (Aharonov-Bohm quantum billiards), which also provides an example of an anti-unitary symmetry of non-geometrical origin; the spectral fluctuations are, as predicted, GOE rather than GUE
The elliptic umbilic diffraction catastrophe by M. Victoria Berry ( Book )
1 edition published in 1979 in English and held by 2 WorldCat member libraries worldwide
Quantum states without time-reversal symmetry: wavefront dislocations in a non-integrable Aharonov-Bohm billiard by Michael V Berry ( )
1 edition published in 1986 in English and held by 2 WorldCat member libraries worldwide
We display complex wavefunctions $\psi_j$ for the jth eigenstate of a particle moving freely in a domain D (whose reflecting boundary gives classically chaotic motion) threaded by a single line of magnetic flux whose strength (in quantum units) is $\alpha$. The wavefronts (phase contours of $\psi_j$) show the expected dislocation singularities both away from the flux line (where their strength is $\pm$1) and at the flux line (where the strength is the integer closest to $\alpha$). $\psi_5$ shows two dislocations away from the flux line for all $\alpha$, and the birth of a dislocation at the flux line as $\alpha$ passes the value $\frac{1}{2}$. $\psi_50$ shows 43 dislocations, in reasonable agreement with a semiclassical theory based on regarding $\psi_N$ as a complex Gaussian random function, which predicts N dislocations in the asymptotic limit N $\to$ $\infty$
Quantum indistinguishability by Michael V Berry ( Visual )
1 edition published in 1999 in English and held by 2 WorldCat member libraries worldwide
Sir Michael Berry, Royal Society Research Professor, University of Bristol, United Kingdom. The quantum physics of identical particles is embodied in the connection between spin and statistics (the Pauli principle). For many decades it has been thought that this can be understood only with ideas from relativity and quantum field theory. But in fact it can be derived from ordinary few-body nonrelativistic quantum mechanics, if this is reformulated to take proper account of the geometry of the indistinguishability of particles. This can be made plausible by conjuring tricks with a belt. The 'Pauli sign' ( -1)²s emerges as a geometric phase factor
Statistics of energy levels without time-reversal symmetry: Aharonov-Bohm chaotic billiards by Michael V Berry ( )
1 edition published in 1986 in English and held by 2 WorldCat member libraries worldwide
A planar domain D contains a single line of of magnetic flux $\phi$. Switching on $\phi$ breaks time-reversal symmetry (T) for quantal particles with charge q moving in D, whilst preserving the geometry of classical (billiard) trajectories bouncing off the boundary $\partial$D. If $\partial$D is such that these classical trajectories are chaotic, we predict that T breaking will cause the local statistics of quantal energy levels to change their universality class, from that of the Gaussian orthogonal ensemble (GOE) of random-matrix theory to that of the Gaussian unitary ensemble (GUE). In the semiclassical limit this transition is abrupt; for statistics involving the first N levels, GUE behavior requires that the quantum flux $\alpha$$\equiv$q$\phi$/h>>0.13N^{-1/4}. The special flux $\alpha$=1/2 corresponds to 'false T breaking' and for this case we predict GOE statistics. These predictions are confirmed by numerical computation of spectral statistics for a classically chaotic billiard without symmetry, for which $\partial$D is a cubic conformal image of the unit disc
Semiclassical level spacing when regular and chaotic orbits coexist by Michael V Berry ( )
1 edition published in 1984 in English and held by 2 WorldCat member libraries worldwide
We calculate semiclassical limiting level spacing distributions P(S) for systems whose classical energy surface is divided into a number of separate regions in which motion is regular or chaotic. In the calculation it is assumed that the spectrum is the superposition of statistically independent sequences of levels from each of the classical phase-space regions, sequences from regular regions having Poisson distributions and those from irregular regions having Wigner distributions. The formulae for P(S) depend on the sum of the Liouville measures of all the classical regular regions, and on the separate Liouville measures of the significant chaotic regions
The diffraction of light by ultrasound [by] Michael V. Berry by Michael V Berry ( Book )
1 edition published in 1966 in English and held by 1 WorldCat member library worldwide
The diffraction of light by ultrasound by Michael V Berry ( Book )
1 edition published in 1965 in English and held by 1 WorldCat member library worldwide
The six roll mill by Michael V Berry ( Book )
1 edition published in 1977 in English and held by 1 WorldCat member library worldwide

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Alternative Names
Berry, M.
Berry, M. V.
Berry, M. V. (Michael V.)
Berry, Michael (Michael V.)
Berry, Michael V.
Berry, Michael V. 1941-
Berry, Michael Victor 1941-
Languages
English (92)
Chinese (1)
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