Localized states of the kicked rotator

Jean Bellissard

Journées équations aux dérivées partielles (1990)

  • page 1-14
  • ISSN: 0752-0360

How to cite

top

Bellissard, Jean. "États localisés du rotateur pulsé." Journées équations aux dérivées partielles (1990): 1-14. <http://eudml.org/doc/93208>.

@article{Bellissard1990,
author = {Bellissard, Jean},
journal = {Journées équations aux dérivées partielles},
keywords = {Floquet's operator; kicked vector; quasi-energy spectrum; localized eigenstates; KAM; non commutative geometry},
language = {fre},
pages = {1-14},
publisher = {Ecole polytechnique},
title = {États localisés du rotateur pulsé},
url = {http://eudml.org/doc/93208},
year = {1990},
}

TY - JOUR
AU - Bellissard, Jean
TI - États localisés du rotateur pulsé
JO - Journées équations aux dérivées partielles
PY - 1990
PB - Ecole polytechnique
SP - 1
EP - 14
LA - fre
KW - Floquet's operator; kicked vector; quasi-energy spectrum; localized eigenstates; KAM; non commutative geometry
UR - http://eudml.org/doc/93208
ER -

References

top
  1. [1] J.S. HOWLANDS, Math. Ann., 207, (1974), 315-335. Zbl0261.35067
  2. [2] K. YAJIMA, J. Math. Soc. Japan, 29, (1977), 729-743. Zbl0356.47010MR57 #10276
  3. [3] J. BELLISSARD, in “Trends and Developments in the Eighties”, S. Albeverrio & Ph.Blanchard Eds., World Sc. Pub., Singapore, (1985. 
  4. [4] M. COMBESCURE, Ann. Inst. H. Poincaré, 47, (1987), 63-83. Zbl0628.70017MR89d:81031a
  5. [5] G. CASATI, L. MOLINARI, in “New trends in Chaotic Dynamics of Hamiltonian systems”, à paraître dans Suppl. to Prog. Theor. Phys., (1990). 
  6. [6] see for instance I.P. CORNFELD, S.V. FORMIN, Ya.G. SINAI, “Ergodic theory”, Grundlerhen Bd. 245, (1982), Springer. Zbl0493.28007
  7. [7] D.R. GREMPEL, S. FISHMAN, R.E. PRANGE, Phys. Rev., A29, (1984), 1639-1647. 
  8. [8] F.M. IZRAILEV, D.L. SHEPELYANSKY, Theor. Math. Phys. (en anglais), 43, (1980), 553-561. 
  9. [9] G. CASATI, I. GUARNERI, Commun. Math. Phys., 95, (1984), 121-127. Zbl0581.46062MR86b:81020
  10. [10] G. CASATI, J. FORD, I. GUARNERI, F. VIVALDI, Phys. Rev., A34, (1986), 1413-1419. 
  11. [11] B.V.CHIRIKOV, F.M. IZRAILEV, D.L. SHEPELYANSKY, Sov. Sci. Rev., C2, (1981), 209. MR83g:81027
  12. [12] D.L. SHEPELYANSKY, Physica, D28, (1987), 103. 
  13. [13] M. BORN, W. HEISENBERG, P. JORDAN, Z. f. Phys., 35, (1925), 557. JFM52.0963.01
  14. [14] A.N. KOLMOGOROV, Dokl. Akad. Nauk. SSSR, 98, (1954), 527-530. Zbl0056.31502MR16,924c
  15. [15] G. PEDERSEN, C*-Algebras and their automorphism groups”, Academic Press, London, New-York, (1979). Zbl0416.46043MR81e:46037
  16. [16] H. FURSTENBERG, “Recurrence in Ergodic Theory and Combinatorial Number Theory”, Princeton Univ. Press, Princeton, N.J., (1981). Zbl0459.28023MR82j:28010
  17. [17] M. RIEFFEL, “Irrational Rotation C*-Algebra”, Short Communication to the Congress of Mathematicians, (1978). 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.