Absence of point spectrum for a class of discrete Schrödinger operators with quasiperiodic potential

Forum Mathematicum

Volumn 8, Issue 1, 1996, Pages 63-69

  Kaminaga, Masahiro ^a  

^a TOKYO DENKI UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039648477     PISSN: 09337741     EISSN: None     Source Type: Journal    
DOI: 10.1515/form.1996.8.63     Document Type: Article

References (10)

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3. Delyon, F., Petritis, D.: Absence of localization in a class of Schrödinger operators with quasiperiodic potential. Comm. Math. Phys. 103 (1986), 441-444
4. Khinchin, A. Ya.: Continued Fractions. The University Chicago Press, 1964
5. Kohmoto, M., Kadanoff, L.P., Tang, C.: Localization problem in one dimension; mapping and escape. Phys. Rev. Lett. 50 (1983), 1870-1872
6. Kotani, S.: Jacobi matrices with random potentials taking finitely many values. Rev. Math. Phys. 1 (1989), 129-133
7. Lang, S.: Introduction to Diophantine approximations. Addison-Wesley Publ. Co., 1966
8. Luck, J. M., Petritis, D.: Phonon in one dimensional quasicrystal. J. Stat. Phys. 42 (1986), 289-310
9. Sütö, A.: The spectrum of a quasiperiodic Schrödinger operator. Comm. Math. Phys. 111 (1987), 409-415
10. Sütö, A.: Singular continuous spectrum on a Cantor set of zero Lebesgue measure for the Fibonacci Hamiltonian. J. Stat. Phys. 56 (1989), 525-543