✦ LIBER ✦
A Limiting Absorption Principle for Schrödinger Operators with Generalized Von Neumann–Wigner Potentials I. Construction of Approximate Phase
✍ Scribed by Peter Rejto; Mario Taboada
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 317 KB
- Volume
- 208
- Category
- Article
- ISSN
- 0022-247X
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✦ Synopsis
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 short range potential and I I is a given compact subinterval of the open positive axis which does not contain the point b 2 r4.