Distribution of Resonances in Scattering by Thin Barriers, Jeffrey Galkowski

Автор: Dyatlov, Semyon Zworski, Maciej
Название: Mathematical theory of scattering resonances
ISBN: 147044366X ISBN-13(EAN): 9781470443665
Издательство: Mare Nostrum (Eurospan)
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Описание: Scattering resonances generalize bound states/eigenvalues for systems in which energy can scatter to infinity. A typical resonance has a rate of oscillation (just as a bound state does) and a rate of decay. Although the notion is intrinsically dynamical, an elegant mathematical formulation comes from considering meromorphic continuations of Green's functions. The poles of these meromorphic continuations capture physical information by identifying the rate of oscillation with the real part of a pole and the rate of decay with its imaginary part. An example from mathematics is given by the zeros of the Riemann zeta function: they are, essentially, the resonances of the Laplacian on the modular surface. The Riemann hypothesis then states that the decay rates for the modular surface are all either $0$ or $\frac14$. An example from physics is given by quasi-normal modes of black holes which appear in long-time asymptotics of gravitational waves.This book concentrates mostly on the simplest case of scattering by compactly supported potentials but provides pointers to modern literature where more general cases are studied. It also presents a recent approach to the study of resonances on asymptotically hyperbolic manifolds. The last two chapters are devoted to semiclassical methods in the study of resonances.

Автор: Valerij V. Kozlov; S.V. Bolotin; Yu. Fedorov; D. T
Название: Symmetries, Topology and Resonances in Hamiltonian Mechanics
ISBN: 3642783953 ISBN-13(EAN): 9783642783951
Издательство: Springer
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Описание: John Hornstein has written about the author`s theorem on nonintegrability of geodesic flows on closed surfaces of genus greater than one: "Here is an example of how differential geometry, differential and algebraic topology, and Newton`s laws make music together" (Amer.

Автор: A.P. Nickolaenko; M. Hayakawa
Название: Resonances in the Earth-Ionosphere Cavity
ISBN: 9048160774 ISBN-13(EAN): 9789048160778
Издательство: Springer
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Описание: Attention is given to the discussion and interpretation of formal and experimental data and their links to global atmospheric conditions such as the dynamics of global thunderstorm activity, variations of the effective height of the lower ionosphere, etc.

Автор: Erkki Br?ndas; Nils Elander
Название: Resonances
ISBN: 3662137259 ISBN-13(EAN): 9783662137253
Издательство: Springer
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Описание: Within the Schrodinger picture in this volume are collected the various theoretical and mathematical treatments of scattering together with a host of reviews of its applications to atomic and nuclear physics, to surface physics and chemistry, for example trapping of atoms on surfaces, and to amorphous condensed systems.

Автор: Elena Santopinto; RALF GOTHE; Viktor I. Mokeev
Название: Special Issue on Nucleon Resonances
ISBN: 3709148707 ISBN-13(EAN): 9783709148709
Издательство: Springer
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