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Zeroes of the Spectral Density of Discrete Schrödinger Operator with Wigner-von Neumann Potential

✍ Scribed by Sergey Simonov

Book ID
113014258
Publisher
SP Birkhäuser Verlag Basel
Year
2012
Tongue
English
Weight
251 KB
Volume
73
Category
Article
ISSN
0378-620X

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A Limiting Absorption Principle for Schr
A Limiting Absorption Principle for Schrödinger Operators with Generalized Von Neumann–Wigner Potentials I. Construction of Approximate Phase
✍ Peter Rejto; Mario Taboada 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 317 KB

In this series of papers we prove the limiting absorption principle over a given interval for a class of Hamiltonians which contains the original one of von Neumann and Wigner. More specifically, the Hamiltonians are of the form < < < < ␤ Ž . Ž . y⌬ q c sin b x r x q V x , where 2r3 -␤ F 1, V x is a