A generalization of the Gel’fand–Levitan equation for the one-dimensional Schrödinger equation

DOI10.1063/1.523235zbMath0381.70021OpenAlexW1982800778MaRDI QIDQ4162534

H. E. Moses

Publication date: 1977

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.523235

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Perturbation theories for operators and differential equations in quantum theory (81Q15) Hamiltonian and Lagrangian mechanics (70H99) Other special methods applied to PDEs (35A25) Representations of solutions to partial differential equations (35C99)

Related Items (4)

Fourier type analysis and the marcenko equation ⋮ Commutation Methods Applied to the mKdV-Equation ⋮ Gel’fand–Levitan equations with comparison measures and comparison potentials ⋮ Direct-inverse problems in transport theory. 1. The inverse problem

Cites Work

• Reflectionless Transmission through Dielectrics and Scattering Potentials

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