On the absolutely continuous spectrum of one-dimensional Schrödinger operators with square summable potentials

Communications in Mathematical Physics

Volumn 203, Issue 2, 1999, Pages 341-347

  Deift, P ^a   Killip, R ^b  

^a NEW YORK UNIVERSITY   (United States)

^b CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0007035802     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050615     Document Type: Article

References (13)

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4. Faddeev, L. D., Takhtajan, L. A.: Hamiltonian methods in the theory of salitons. Translated from the Russian by A. G. Reǐman, Berlin: Springer, 1987, MR 89m:58103
5. Gesztesy, F., Simon, B.: m-functions and inverse spectral analysis for finite and semi-infinite Jacobi matrices. J. Anal. Math. 73, 267-297 (1997)
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7. Kiselev, A., Last, Y., Simon, B.: Modified Prüfer and EFGP transforms and the spectral analysis of one-dimensional Schrödinger operators. Commun. Math. Phys. 194, 1-45 (1998)
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9. Reed, M., Simon, B.: Methods of modern mathematical physics. I. Functional analysis. New York-London: Academic Press, 1972
10. Reed, M., Simon, B.: Methods of modern mathematical physics. IV. Analysis of operators. New York-London: Academic Press, 1978
11. Remling, C.: The absolutely continuous spectrum of one-dimensional Schrödinger operators with decaying potentials. Commun. Math. Phys. 193, no. 1, 151-170 (1998)
12. Simon, B.: An introduction to the self-adjointness and spectral analysis of Schrödinger operators. Acta Phys. Aust. 17, 19-42 (1977)
13. Simon, B.: Some Schrödinger operators with dense point spectrum. Proc. Am. Math. Soc. 125, no. 1, 203-208 (1997); MR 97c:34179