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Volumn 186, Issue 2, 1997, Pages 481-493

Some Schrödinger operators with power-decaying potentials and pure point spectrum

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0031548112     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050117     Document Type: Article
Times cited : (10)

References (20)
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  • 3
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    • Gordon, A.Y., Molchanov, S.A., Tsagani, B.: Spectral Theory of One-Dimensional Schrödinger Operators with Strongly Fluctuating Potentials. Funct. Anal. Appl. 25, 236-238 (1992) and Gordon, A.Y.: Private communication
    • (1992) Funct. Anal. Appl. , vol.25 , pp. 236-238
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  • 4
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    • Private communication
    • Gordon, A.Y., Molchanov, S.A., Tsagani, B.: Spectral Theory of One-Dimensional Schrödinger Operators with Strongly Fluctuating Potentials. Funct. Anal. Appl. 25, 236-238 (1992) and Gordon, A.Y.: Private communication
    • Gordon, A.Y.1
  • 6
    • 0002673773 scopus 로고
    • One-dimensional Schrödinger operators with high potential barriers
    • Basel: Birkhäuser Verlag
    • Kirsch, W., Molchanov, S.A., Pastur, L.: One-dimensional Schrödinger operators with high potential barriers. Operator Theory: Advances and Applications, Vol.57, Basel: Birkhäuser Verlag, 1992, pp. 163-170
    • (1992) Operator Theory: Advances and Applications , vol.57 , pp. 163-170
    • Kirsch, W.1    Molchanov, S.A.2    Pastur, L.3
  • 8
    • 0001779113 scopus 로고    scopus 로고
    • Modified Prüfer and EFGP transforms and the spectral analysis of one-dimensional Schrödinger operators
    • submitted
    • Kiselev, A., Last, Y., Simon, B.: Modified Prüfer and EFGP transforms and the spectral analysis of one-dimensional Schrödinger operators. Commun. Math. Phys. (submitted)
    • Commun. Math. Phys.
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  • 9
    • 0001261704 scopus 로고
    • One-dimensional Schrödinger operators with random decaying potentials
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    • (1988) Commun. Math. Phys. , vol.115 , pp. 247-266
    • Kotani, S.1    Ushiroya, N.2
  • 10
    • 5544281086 scopus 로고    scopus 로고
    • Eigenfunctions, Transfer Matrices, and Absolutely Continuous Spectrum of One-Dimensional Schrödinger Operators
    • submitted
    • Last, Y., Simon, B.: Eigenfunctions, Transfer Matrices, and Absolutely Continuous Spectrum of One-Dimensional Schrödinger Operators. Ann. Math. (submitted)
    • Ann. Math.
    • Last, Y.1    Simon, B.2
  • 11
    • 0001062331 scopus 로고
    • Dense Point Spectra of Schrödinger and Dirac Operators
    • Naboko, S.N.: Dense Point Spectra of Schrödinger and Dirac Operators. Theor. and Math. Phys. 68, 646-653 (1986)
    • (1986) Theor. and Math. Phys. , vol.68 , pp. 646-653
    • Naboko, S.N.1
  • 12
    • 0002464911 scopus 로고
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    • (1978) Commun. Math. Phys. , vol.60 , pp. 13-36
    • Pearson, D.B.1
  • 13
    • 85045585816 scopus 로고    scopus 로고
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    • Remling, C.: A probabilistic approach to one-dimensional Schrödinger operators with sparse potentials. Commun. Math. Phys.
    • Commun. Math. Phys.
    • Remling, C.1
  • 14
    • 51649166261 scopus 로고
    • Ergodic theory of differentiable dynamical systems
    • Ruelle, D.: Ergodic theory of differentiable dynamical systems. Publ. IHES 50, 275-306 (1979)
    • (1979) Publ. IHES , vol.50 , pp. 275-306
    • Ruelle, D.1
  • 15
    • 0000364033 scopus 로고
    • Some Jacobi matrices with decaying potentials and dense point spectrum
    • Simon, B.: Some Jacobi matrices with decaying potentials and dense point spectrum. Commun. Math. Phys. 87, 253-258 (1982)
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    • Some Schrödinger operators with dense point spectrum
    • Simon, B.: Some Schrödinger operators with dense point spectrum. Proc. Am. Math. Soc. bf 125, 203-208 (1997)
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  • 17
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    • Singular Continuous Spectrum under Rank One Perturbations and Localization for Random Hamiltonians
    • Simon, B., Wolff, T: Singular Continuous Spectrum under Rank One Perturbations and Localization for Random Hamiltonians. Commun. Pure Appl. Math. 39, 75-90 (1986)
    • (1986) Commun. Pure Appl. Math. , vol.39 , pp. 75-90
    • Simon, B.1    Wolff, T.2
  • 18
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    • The Lyapunov Exponents for Schrödinger Operators with Slowly Oscillating Potentials
    • Simon, B., Zhu, Y.: The Lyapunov Exponents for Schrödinger Operators with Slowly Oscillating Potentials. J. Funct. Anal. 140, 541-556 (1996)
    • (1996) J. Funct. Anal. , vol.140 , pp. 541-556
    • Simon, B.1    Zhu, Y.2
  • 19
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    • Stolz, G.: Localization for random Schrödinger operators with Poisson potential. Ann. Inst. H. Poincaré 63, 297-314 (1995)
    • (1995) Ann. Inst. H. Poincaré , vol.63 , pp. 297-314
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    • Localization for Schrödinger operators with effective barriers
    • to appear
    • Stolz, G.: Localization for Schrödinger operators with effective barriers. J. Funct. Anal. (to appear)
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.