Scattering by potentials infinite on unbounded regions in Rn

✍ Scribed by Michael Demuth

• Publisher: John Wiley and Sons
• Year: 1982
• Tongue: English
• Weight: 420 KB
• Volume: 107
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.19821070125

✦ Synopsis

The existence of wave operators is pro! ed for SCHRODIXOER operators pert cirl~ed by potentials infinite on unbounded regions in it". The t n o-space wave operators are semicomplete. JI,iny-body potentials arr included such that the corresponding one-channel wvnre operatorb exist and are semicomplete Scattering of SC'HR~DIR'GER operators H , generated by -il in L-'(Rn) \J? potentials F'(x) infinite on a compact region G, C c R " . is known as KVPSCH-SASDHAS result although RIRMAX [3] proved it before. That means for H,, and appropriately defined H,=H,,+ V , I.' given by the multiplication with V ( T ) . the wave operators