The Determination of the Scattering Potential from the Spectral Measure Function, Vol. 3: Calculation of the Scattering Potential from the Scattering ... Schr�dinger Equation (Classic Reprint) - Hardcover

Irving Kay

9780366334605: The Determination of the Scattering Potential from the Spectral Measure Function, Vol. 3: Calculation of the Scattering Potential from the Scattering ... Schr�dinger Equation (Classic Reprint)

Hardcover

ISBN 10: 0366334603 ISBN 13: 9780366334605

Publisher: Forgotten Books, 2018

View all copies of this ISBN edition

0 Used

2 New

From US$ 38.06

Unlock the method to recover the scattering potential from spectral data in one dimension, with clear steps and a rigorous framework.

This work focuses on the connection between the spectral measure function, the scattering operator, and the resulting potential for the one-dimensional Schr�dinger equation. It explains how to use the scattering data and boundary conditions to derive the potential and analyze the resulting eigenfunctions and spectrum.

How the spectral measure and scattering phases determine the potential
How the reflection coefficient b(k) informs a unique potential under suitable conditions
How the Gelfand–Levitan equation helps reconstruct V(x) and its diagonal form
Necessary conditions for the existence of a scattering operator and related eigenfunctions

Ideal for readers seeking a rigorous treatment of scattering theory and inverse problems in quantum mechanics.

"synopsis" may belong to another edition of this title.