About a resolvent formula
P. Duclos, P. Stovicek, O. Vana
TL;DR
This paper discusses a resolvent formula, exploring its abstract properties and demonstrating its application through an explicit example involving the simplified Fermi accelerator.
Contribution
It provides an abstract analysis of the resolvent formula and illustrates its use with a specific example, enhancing understanding of its practical application.
Findings
The resolvent formula is analyzed abstractly.
An explicit example with the simplified Fermi accelerator is provided.
The paper clarifies the application of the resolvent formula in specific systems.
Abstract
A resolvent formula, originally presented by Karner in his habilitation, is discussed. First the formula is considered abstractly and then it is demonstrated on an explicit example -- the so called simplified Fermi accelerator.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Quantum chaos and dynamical systems · Numerical methods in inverse problems