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On a fundamental system of solutions of the matrix Schrödinger equation with a polynomial energy-dependent potential

✍ Scribed by A. Adiloglu Nabiev

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
181 KB
Volume
33
Category
Article
ISSN
0170-4214

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✦ Synopsis

Communicated by A. Kirsch

In this study in the interval (0; +∞) a fundamental system of solutions with behavior at the neighborhood of zero and at infinity are investigated for the polynomial pencil of the matrix Schrödinger equation. The integral representations are constructed for the Jost-type solutions and asymptotic formulas are obtained for the fundamental system of solutions of the matrix Schrödinger pencil.

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✍ Sigrun Bodine; D. A. Lutz 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 299 KB

## Abstract We are interested in the asymptotic behavior of solutions of a Schrödinger‐type equation with oscillating potential which was studied by A. Its. Here we use a different technique, based on Levinson's Fundamental Lemma, to analyze the asymptotic behavior, and our approach leads to a comp