The determination of the scattering potential from the spectral measure function

DOI10.1007/BF02855840zbMath0074.22501MaRDI QIDQ3239116

H. E. Moses, Irvin Kay

Publication date: 1955

Published in: Il Nuovo Cimento (Search for Journal in Brave)

zbMATH Keywords

Quantum Theory

Related Items (17)

Patterns and structure in systems governed by linear second-order differential equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Scattering theory with finite-gap backgrounds: transformation operators and characteristic properties of scattering data ⋮ Inverse scattering problem for the Schrödinger equation with an additional increasing potential on the line ⋮ Potentials with zero scattering phase ⋮ The use of comparison filters in linear filter theory ⋮ The Inverse Problem in the Quantum Theory of Scattering ⋮ Gel’fand–Levitan equations with comparison measures and comparison potentials ⋮ A Generalization of the Direct and Inverse Problem for the Radial Schrödinger Equation ⋮ Inverse problem of scattering theory for a class one-dimensional Schrödinger equation ⋮ Jost solutions and Green’s functions for the three-dimensional Schrödinger equation ⋮ Inverse problem of quantum scattering theory. II ⋮ On the inverse problem for ordinary differential operators of even order ⋮ On the inverse problem for differential operators of fourth order with rational reflection coefficients ⋮ A kernel of Gel’fand–Levitan type for the three-dimensional Schrödinger equation ⋮ Inverse problems of spectral analysis for differential operators and their applications

Cites Work

• Unnamed Item
• Unnamed Item
• The construction of potentials from theS-matrix for systems of differential equations
• On the perturbation of continuous spectra
• Certain Explicit Relationships between Phase Shift and Scattering Potential
• Construction of potentials from phase shift and binding energies of relativistic equations

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