A geometric interpretation of one-dimensional quasinormal rings
نویسندگان
چکیده
منابع مشابه
Quasinormal-mode spectrum of Kerr black holes and its geometric interpretation
There is a well-known, intuitive geometric correspondence between high-frequency quasinormal modes of Schwarzschild black holes and null geodesics that reside on the light ring (often called spherical photon orbits): the real part of the mode’s frequency relates to the geodesic’s orbital frequency, and the imaginary part of the frequency corresponds to the Lyapunov exponent of the orbit. For sl...
متن کاملSome Examples in One–dimensional “Geometric” Scattering
We consider “geometric” scattering for a Laplace-Beltrami operator on a compact Riemannian manifold inserted between “wires,” that is, two half-lines. We discuss applicability and correctness of this model. With an example, we show that such a scattering problem may exhibit unusual properties: the transition coefficient has a sequence of sharp peaks which become more and more distant at high en...
متن کاملA five-vertex model interpretation of one-dimensional traffic flow
Here we solve a discrete one-dimensional traffic flow problem by mapping the allowed sets of car trajectories onto a line representation of the five-vertex model configurations. The fundamental flow diagram, obtained previously in a grand canonical ensemble, is rederived. Fluctuations of the flow are described quantitatively and two critical exponents are defined. The zero-density limit is stud...
متن کاملGeometric Interpretation of Chaos in Two-Dimensional Hamiltonian Systems
This paper exploits the fact that Hamiltonian flows associated with a time-independent H can be viewed as geodesic flows in a curved manifold, so that the problem of stability and the onset of chaos hinge on properties of the curvature Kab entering into the Jacobi equation. Attention focuses on ensembles of orbit segments evolved in representative twodimensional potentials, examining how such p...
متن کاملinvestigating the feasibility of a proposed model for geometric design of deployable arch structures
deployable scissor type structures are composed of the so-called scissor-like elements (sles), which are connected to each other at an intermediate point through a pivotal connection and allow them to be folded into a compact bundle for storage or transport. several sles are connected to each other in order to form units with regular polygonal plan views. the sides and radii of the polygons are...
ذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1985
ISSN: 0022-4049
DOI: 10.1016/0022-4049(85)90030-1