An Introduction to Inverse Problems in Physics
Author | : Mohsen Razavy |
Publisher | : World Scientific Publishing Company |
Total Pages | : 380 |
Release | : 2020 |
ISBN-10 | : 9811221669 |
ISBN-13 | : 9789811221668 |
Rating | : 4/5 (668 Downloads) |
Download or read book An Introduction to Inverse Problems in Physics written by Mohsen Razavy and published by World Scientific Publishing Company. This book was released on 2020 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a compilation of different methods of formulating and solving inverse problems in physics from classical mechanics to the potentials and nucleus-nucleus scattering. Mathematical proofs are omitted since excellent monographs already exist dealing with these aspects of the inverse problems. The emphasis here is on finding numerical solutions to complicated equations. A detailed discussion is presented on the use of continued fractional expansion, its power and its limitation as applied to various physical problems. In particular, the inverse problem for discrete form of the wave equation is given a detailed exposition and applied to atomic and nuclear scattering, in the latter for elastic as well as inelastic collision. This technique is also used for inverse problem of geomagnetic induction and one-dimensional electrical conductivity. Among other topics covered are the inverse problem of torsional vibration, and also a chapter on the determination of the motion of a body with reflecting surface from its reflection coefficient.