Relativistic corrections for the scattering matrix for spherically symmetric potentials

Authors
Unterkofler, K
Citation
K. Unterkofler, Relativistic corrections for the scattering matrix for spherically symmetric potentials, REP MATH PH, 47(2), 2001, pp. 183-198
Citations number
35
Categorie Soggetti
Physics
Journal title
REPORTS ON MATHEMATICAL PHYSICS
ISSN journal
00344877 → ACNP
Volume
47
Issue
2
Year of publication
2001
Pages
183 - 198
Database
ISI
SICI code
0034-4877(200104)47:2<183:RCFTSM>2.0.ZU;2-A
Abstract
We use the framework for the nonrelativistic limit of scattering theory for abstract Dine operators developed in [5] to prove holomorphy of the scatte ring matrix at fixed energy with respect to c(-2) for Dirac operators with spherically symmetric potentials. Relativistic corrections of order c(-2) t o the nonrelativistic limit partial wave scattering matrix are explicitly d etermined.