The Determination of the Scattering Potential from the Spectral Measure Function, Vol. 3: Calculation of the Scattering Potential from the Scattering ... Schrödinger 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 ... Schrödinger Equation (Classic Reprint)
Hardcover
ISBN 10: 0366334603 ISBN 13: 9780366334605
Publisher: Forgotten Books, 2018

Synopsis

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 Schrödinger 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.

Publisher
Forgotten Books
Publication date
2018
Language
English
ISBN 10 
0366334603
ISBN 13 
9780366334605
Binding
Hardcover
Number of pages
52

Other Popular Editions of the Same Title

9780365815907: The Determination of the Scattering Potential From the Spectral Measure Function, Vol. 3 (Classic Reprint)

Featured Edition

ISBN 10:  036581590X ISBN 13:  9780365815907
Publisher: Forgotten Books, 2018
Softcover