On the asymptotic properties of quantum dynamics in the presence of a fractal spectrum

Italo Guarneri; Giorgio Mantica

Annales de l'I.H.P. Physique théorique (1994)

  • Volume: 61, Issue: 4, page 369-379
  • ISSN: 0246-0211

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Guarneri, Italo, and Mantica, Giorgio. "On the asymptotic properties of quantum dynamics in the presence of a fractal spectrum." Annales de l'I.H.P. Physique théorique 61.4 (1994): 369-379. <http://eudml.org/doc/76662>.

@article{Guarneri1994,
author = {Guarneri, Italo, Mantica, Giorgio},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {asymptotic estimates; discrete unitary group with a purely continuous spectrum; upper and lower bounds for suitably defined exponents of growth; capacity of the spectrum; Hölder exponent of the spectral measure},
language = {eng},
number = {4},
pages = {369-379},
publisher = {Gauthier-Villars},
title = {On the asymptotic properties of quantum dynamics in the presence of a fractal spectrum},
url = {http://eudml.org/doc/76662},
volume = {61},
year = {1994},
}

TY - JOUR
AU - Guarneri, Italo
AU - Mantica, Giorgio
TI - On the asymptotic properties of quantum dynamics in the presence of a fractal spectrum
JO - Annales de l'I.H.P. Physique théorique
PY - 1994
PB - Gauthier-Villars
VL - 61
IS - 4
SP - 369
EP - 379
LA - eng
KW - asymptotic estimates; discrete unitary group with a purely continuous spectrum; upper and lower bounds for suitably defined exponents of growth; capacity of the spectrum; Hölder exponent of the spectral measure
UR - http://eudml.org/doc/76662
ER -

References

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  1. [1] H.L. Cycon, R.G. Froese, W. Kirsch and B. Simon, Schrödinger Operators, Springer-Verlag1987, ch. 5, p. 4, and references therein. Zbl0619.47005
  2. [2] H. Hiramoto and M. Kohmoto, Int. J. Mod. Phys. B, Vol. 6, 1992, p. 281; T. Geisel, R. Ketzmerick and G. Petschel, Phys. Rev. Lett., Vol. 66, 1991, p. 1651; R. Ketzmerick, G. Petschel and T. Geisel, Phys. Rev. Lett., Vol. 69, 1992, p. 695. MR1152689
  3. [3] I. Guarneri, Europhys. Lett., Vol. 10, 1989, p. 95. 
  4. [4] I. Guarneri, ibidem, Vol. 21, 1993, p. 729. 
  5. [5] J.M. Combes, preprint CPT-92/P.2782, Marseille (1992). 
  6. [6] D. Bessis, J. Geronimo and P. Moussa, J. Stat. Phys., Vol. 34, 1984, p. 75. Zbl0602.58028
  7. [7] R.S. Strichartz, J. Funct. Anal., Vol. 89, 1990, p. 154. Zbl0693.28005MR1040961
  8. [8] K. Yosida, Functional Analysis, Springer, 1965, p. 16. Zbl0126.11504

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