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The inverse problem for the Schrödinger equation and the Riemann boundary problem

✍ Scribed by Yu. L. Rodin

Publisher
Springer
Year
1988
Tongue
English
Weight
212 KB
Volume
15
Category
Article
ISSN
0377-9017

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✦ Synopsis

Al~straet. A new class of reflection finite-gap potentials for the one-dimensional Schr0dinger equation is investigated. The inverse problem for this class is reduced to the 2 x 2-matrix Riemann boundary problem on a hyperelliptic Riemann surface.

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✍ Robert Carlson 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 104 KB

By modifying and generalizing some old techniques of N. Levinson, a uniqueness theorem is established for an inverse problem related to periodic and Sturm-Liouville boundary value problems for the matrix Schrödinger equation.

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