منابع مشابه
Perturbation Theory
1 Definition of the subject and its importance Perturbation Theory: Computation of a quantity depending on a parameter ε starting from the knowledge of is value for ε = 0 by deriving a power series expansion in ε, under the assumption of its existence, and if possible discussing the interpretation of the series. Perturbation theory is very often the only way to get a glimpse of the properties o...
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Define a topological Lie group to be a group object in the category of topological manifolds. Until stated otherwise G is assumed finite-dimensional. Theorem 1.1. LetG be a compact, simple Hausdorff group. Then eitherG is a finite simple group or it is Lie. The latter are much easier to classify: they are U(n), O(n), U(n,H) mod their centers, or one of five special cases (of dimensions ≤ 248), ...
متن کاملChiral Perturbation Theory and Unitarization
We review our recent work on unitarization and chiral perturbation theory both in the ππ and the πN sectors. We pay particular attention to the Bethe-Salpeter and Inverse Amplitude unitarization methods and their recent applications to ππ and πN scattering.
متن کاملPerturbation Theory and Backward Error
Because of the special structure of the equations AX XB = C the usual relation for linear equations "backward error = relative residual" does not hold, and application of the standard perturbation result for Ax = b yields a perturbation bound involving sep (A, B)x that is not always attainable. An expression is derived for the backward error of an approximate solution Y; it shows that the backw...
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This article displays examples of planar isochronous systems and discuss the new techniques found by F. Calogero with these examples. A sufficient condition is found to keep track of some periodic orbits for perturbations of isochronous systems.
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2000
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.533434