Perturbation of an eigenvalue from a dense point spectrum: An example

Journal of Physics A: Mathematical and General

Volumn 30, Issue 20, 1997, Pages 7167-7185

  Duclos, P ^a,b   Stovicek P ^c   Vittot, M ^a  

^a CENTRE DE PHYSIQUE THÉORIQUE   (France)

^b UNIVERSITÉ DE TOULON   (France)

^c CZECH TECHNICAL UNIVERSITY IN PRAGUE   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040564672     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/30/20/018     Document Type: Article

References (23)

1. Ao P 1989 Phys. Rev. B 41 3998-4001
2. Avron J E, Exner P and Last Y 1994 Phys. Rev. Lett. 72 896-9
3. Bellissard J 1985 Trends and Developments in the Eighties ed S Albeverio and Ph Blanchard (Singapore: World Scientific) pp 1-106
4. Bellissard J and Vittot M 1990 Ann. Inst. H Poincaré 52 175-235
5. Benvenuto F, Casati G, Guarneri I and Shepelyansky D L 1991 Z. Phys. B 84 159-63
6. Bleher P M, Jauslin H R and Lebowitz JL 1992 J. Stat. Phys 68 271
7. Combescure M 1987 Ann. Inst. H Poincaré 47 62-82
8. Duclos P and Šťovíček P 1996a Commun. Math. Phys. 177 327-47
9. Duclos P and Šťovíček P 1996b Operator Theory. Adv. Appl. 78 109-18
10. Eliasson L H 1988 Ann. Scuola Norm. Sup. Pisa Cl Sci. 4 15 No 1 115-47
11. Fermi S 1949 Phys. Rev. 75 1169-74
12. Howland J S 1979 Indiana J. Math. 28 471-94
13. Howland J S 1989 Ann. Inst. H Poincaré 49 309-23, 325-34
14. Howland J S 1992 J. Phys. A: Math. Gen. 25 5177-81
15. Joye A 1994 J. Stat. Phys. 75 929-52
16. Kato T 1966 Perturbation Theory of Linear Operators (Berlin: Springer)
17. Nenciu G 1993 Ann. Inst. H Poincaré 59 91-7
18. Rellich F 1937 Math. Ann. 113 600-19
19. Sambe H 1973 Phys. Rev. A 7 2203
20. Simon B 1993 Spectral analysis of rank one perturbations and applications, lecture given at the Vancouver Summer School in Mathematical Physics, August 10-14
21. Stein E M 1970 Singular Integrals and Differentiability Properties of Functions (Princeton, NJ: Princeton University Press)
22. Ulam S 1961 Proc. 4th Berkeley Symp. Math. Stat. Prob. vol 3 (Berkeley, CA: University of California Press) p 315
23. Yajima K 1977 J. Math. Soc. Japan 29 729-43