SCATTERING RESULTS FOR MEASURE POTENTIALS WITH UNBOUNDED SUPPORT

被引:2
作者
FORD, R
机构
[1] California State University, Chico
关键词
D O I
10.1002/mma.1670171504
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The eigenfunction expansion theorem and its application to the scattering operator and the scattering matrix is extended to Schrodinger operators with measure potentials with unbounded support on R'' that are known to generate wave operators that are strongly complete. Analyticity conditions of the eigenfunctions and the scattering matrix are presented.
引用
收藏
页码:1213 / 1230
页数:18
相关论文
共 16 条
  • [1] Agmon S., 1975, ANN SCUOLA NORM-SCI, V2, P151
  • [2] ALSHOLM P, 1971, ARCH RATION MECH AN, V40, P281
  • [3] [Anonymous], 1966, PERTURBATION THEORY
  • [4] BALSLEV E, 1988, COMMUN MATH PHYS, V114
  • [5] BRASCHE JF, 1991, 132 PREPR
  • [6] DAVIES EB, 1976, ARCH RATIONAL MECH, P261
  • [7] FORD R, IN PRESS DIFF INT EQ
  • [8] FORD R, 1993, J MATH ANAL APPL, V175, P2
  • [9] FORD R, 1992, T AMS, V329, P1
  • [10] Ikebe T., 1960, ARCH RATION MECH AN, V5, P1, DOI 10.1007/BF00252896