The Determination of the Scattering Potential From the Spectral Measure Function, Vol. 3 (Classic Reprint): Calculation of the Scattering Potential ... Schrödinger Equation (Classic Reprint) - Softcover

Inhaltsangabe

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.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.