We establish the limiting absorption principle for relativistic Schrodinger operators with short-range potentials. We study the asymptotic behavior of the extended resolvents as the energy goes to infinity. In order to distinguish the extended resolvents, we introduce radiation conditions.
机构:
Univ Hyogo, Dept Math Sci, Himeji, Hyogo 6712201, JapanUniv Hyogo, Dept Math Sci, Himeji, Hyogo 6712201, Japan
Umeda, Tomio
Wei, Dabi
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机构:
Tokyo Inst Technol, Dept Mech & Control Engn, Grad Sch Sci & Engn, Meguro Ku, Tokyo 1528550, JapanUniv Hyogo, Dept Math Sci, Himeji, Hyogo 6712201, Japan