Asymptotic completeness for quantum-mechanical potential scattering: II. Singular and long-range potentials

✍ Scribed by Volker Enss

• Publisher: Elsevier Science
• Year: 1979
• Tongue: English
• Weight: 755 KB
• Volume: 119
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(79)90252-5

✦ Synopsis

The geometrical proof for the asymptotic completeness of the wave operators and the absence of a singular continuous spectrum of the Hamiltonian is extended to cover singular potentials where the Hamiltonian is defined as a form sum, and long-range interactions like Coulomb forces.

* Partially supported by a travel grant from the Deutsche Forschungsgemeinschaft.