The Determination of the Scattering Potential From the Spectral Measure Function, Vol. 3 (Classic Reprint) - Couverture souple

Kay, Irving

Couverture souple

ISBN 10 : 036581590X ISBN 13 : 9780365815907

Editeur : 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.

Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 036581590X
• ISBN 13: 9780365815907
• Reliure: Broché
• Nombre de pages: 53
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