Anomalous spreading of power-law quantum wave packets

Physical Review Letters

Volumn 84, Issue 6, 2000, Pages 1061-1065

  Lillo, Fabrizio ^a   Mantegna, Rosario N ^a  

^a INFM   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000548451     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.84.1061     Document Type: Article

References (20)

1. P. Lévy, Calcul des Probabilités (Gauthier-Villars, Paris, 1925).
2. B. B. Mandelbrot, The Fractal Geometry of Nature (W. H. Freeman and Company, New York, 1982).
3. M. F. Shlesinger, G. M. Zaslavsky, and U. Frisch (Springer-Verlag, Berlin and Heidelberg, 1995).
4. H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena (Oxford University Press, New York, 1971).
5. P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. Lett. 59, 381 (1987).
6. The Physics of Complex Systems, F. Mallamace and H. E. Stanley (IOS Press, Amsterdam, 1997).
7. F. Bardou, Phys. Rev. Lett. 72, 203 (1994).
8. J. Reichel, et al., Phys. Rev. Lett. 75, 4575 (1995).
9. T. Geisel, R. Ketzmerick, and G. Petschel, Phys. Rev. Lett. 66, 1651 (1991).
10. R. Ketzmerick, et al., Phys. Rev. Lett. 79, 1959 (1997).
11. F. Lillo and R. N. Mantegna (to be published).
12. M. J. Lighthill, Introduction to Fourier Analysis and Generalised Functions (Cambridge University Press, Cambridge, England, 1970).
13. W. E. Lamb, Jr., Phys. Today 22, No. 4, 23 (1969).
14. F. W. J. Olver, Asymptotics and Special Functions (Academic Press, New York and London, 1974).
15. F. Guerra, Phys. Rep. 77, 263 (1981).
16. M. Cassandro and G. Jona-Lasinio, Adv. Phys. 27, 913 (1978).
17. M. F. Shlesinger, G. M. Zaslavsky, and J. Klafter, Nature (London) 363, 31 (1993).
18. G. M. Zaslavsky, M. Edelman, and B. A. Niyazov, Chaos 7, 159 (1997).
19. B. Sundaram and G. M. Zaslavsky, Phys. Rev. E 59, 7231 (1999).
20. B. B. Mandelbrot and J. W. van Ness, SIAM Rev. 10, 422 (1968).