KAM theory in momentum space and quasiperiodic Schrödinger operators

Claudio Albanese

Annales de l'I.H.P. Analyse non linéaire (1993)

  • Volume: 10, Issue: 1, page 1-97
  • ISSN: 0294-1449

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Albanese, Claudio. "KAM theory in momentum space and quasiperiodic Schrödinger operators." Annales de l'I.H.P. Analyse non linéaire 10.1 (1993): 1-97. <http://eudml.org/doc/78297>.

@article{Albanese1993,
author = {Albanese, Claudio},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {small divisors; spectral analysis; quasiperiodic Schrödinger operators in dimension one; tight binding approximation; purely absolutely continuous spectrum; momentum space; superconvergent approximation scheme; unitary transformation; absence of pure point and singular continuous spectrum},
language = {eng},
number = {1},
pages = {1-97},
publisher = {Gauthier-Villars},
title = {KAM theory in momentum space and quasiperiodic Schrödinger operators},
url = {http://eudml.org/doc/78297},
volume = {10},
year = {1993},
}

TY - JOUR
AU - Albanese, Claudio
TI - KAM theory in momentum space and quasiperiodic Schrödinger operators
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1993
PB - Gauthier-Villars
VL - 10
IS - 1
SP - 1
EP - 97
LA - eng
KW - small divisors; spectral analysis; quasiperiodic Schrödinger operators in dimension one; tight binding approximation; purely absolutely continuous spectrum; momentum space; superconvergent approximation scheme; unitary transformation; absence of pure point and singular continuous spectrum
UR - http://eudml.org/doc/78297
ER -

References

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  9. [M] J. Milnor, Morse Theory, Princeton Univ. Press, Princeton, New Jersey, 1963. Zbl0108.10401MR163331
  10. [MP] J. Möser and J. Pöschel, Comment. Math. Helvetici, Vol. 59, 1984, p. 39. Zbl0533.34023MR743943
  11. [RS4] M. Reed and B. Simon, Methods of modern mathematical physics, Academic Press, San Diego, California, 1979. 
  12. [S] Ya. Sinai, J. Stat. Phys., Vol. 46, 1987, p. 861. MR893122
  13. [Z] S.Ya. Zhitomirskaya, Adv. Sov. Math., Vol. 3, 1991. 

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