Solvable models of resonances and decays
Mathematical Physics
2012-05-03 v1 math.MP
Spectral Theory
Quantum Physics
Abstract
Resonance and decay phenomena are ubiquitous in the quantum world. To understand them in their complexity it is useful to study solvable models in a wide sense, that is, systems which can be treated by analytical means. The present review offers a survey of such models starting the classical Friedrichs result and carrying further to recent developments in the theory of quantum graphs. Our attention concentrates on dynamical mechanism underlying resonance effects and at time evolution of the related unstable systems.
Keywords
Cite
@article{arxiv.1205.0512,
title = {Solvable models of resonances and decays},
author = {Pavel Exner},
journal= {arXiv preprint arXiv:1205.0512},
year = {2012}
}
Comments
Written for proceedings of the conference "Mathematical Physics, Spectral Theory and Stochastic Analysis" (Goslar 2011)