The Mathscr P Varphi 2 Model On De Sitter Space
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The $mathscr {P}(varphi )_2$ Model on de Sitter Space
Author: João C. A. Barata
language: en
Publisher: American Mathematical Society
Release Date: 2023-01-18
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Cosmology
Author: Edward Harrison
language: en
Publisher: Cambridge University Press
Release Date: 2000-03-16
Thoroughly revised and updated introduction to past and present cosmological theory.
Mathematical Theory of Scattering Resonances
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.