Absolutely continuous spectrum for one-dimensional Schrodinger operators with slowly decaying potentials: Some optimal results

被引：70
作者：
Christ, M [1 ]
Kiselev, A
机构：
[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
[2] Univ Chicago, Dept Math, Chicago, IL 60637 USA
来源：
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 11卷 / 04期
关键词：
Schrodinger operator; absolutely continuous spectrum; ae convergence; decaying potential; WKB asymptotics; norm estimates;
D O I：
10.1090/S0894-0347-98-00276-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
引用
收藏
页码：771 / 797
页数：27
相关论文
共 32 条
[1]  
[Anonymous], THEOR MATH PHYS
[2]  
[Anonymous], 1986, TEORET MAT FIZ
[3]   TRANSIENT AND RECURRENT SPECTRUM [J].
AVRON, JE ;
SIMON, B .
JOURNAL OF FUNCTIONAL ANALYSIS, 1981, 43 (01) :1-31
[4]   ABSOLUTE CONTINUITY OF HAMILTONIANS WITH VONNEUMANN WIGNER POTENTIALS [J].
BEHNCKE, H .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 111 (02) :373-384
[5]   SPECTRAL AND SCATTERING THEORY FOR THE ADIABATIC OSCILLATOR AND RELATED POTENTIALS [J].
BENARTZI, M ;
DEVINATZ, A .
JOURNAL OF MATHEMATICAL PHYSICS, 1979, 20 (04) :594-607
[6]  
Carmona R., 1990, SPECTRAL THEORY RAND, DOI 10.1007/978-1-4939-0512-6_4
[7]  
Christ M, 1997, MATH RES LETT, V4, P719
[8]  
CHRIST M, MAXIMAL INEQUALITY
[9]  
EARL A., 1955, THEORY ORDINARY DIFF
[10]   ASYMPTOTIC INTEGRATION OF ADIABATIC OSCILLATORS [J].
HARRIS, WA ;
LUTZ, DA .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1975, 51 (01) :76-93
1234