Time evolution of quantum fractals

Physical Review Letters

Volumn 85, Issue 24, 2000, Pages 5022-5025

  Wójcik, Daniel ^a,b   Białynicki Birula, Iwo ^a,c   Życzkowski, Karol ^a,b  

^a CENTER FOR THEORETICAL PHYSICS   (Poland)

^b College of Science ^*  (Poland)

^c UNIVERSITY OF WARSAW   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ELECTRON ENERGY LEVELS; ELEMENTARY PARTICLES; FRACTALS; MATHEMATICAL MODELS; PROBABILITY;

HAMILTONIANS; HARMONIC OSCILLATOR; INFINITE POTENTIAL WELL; LINEAR POTENTIAL; QUANTUM FRACTALS;

QUANTUM THEORY;

EID: 0343772968     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.85.5022     Document Type: Article

References (16)

1. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San Francisco, 1982).
2. K. J. Falconer, Fractal Geometry (Wiley, New York, 1990)
3. C. Tricot, Curves and Fractal Dimension (Springer-Verlag, New York, 1995).
4. Fractals in Physics: Proceedings of the International Conference Honoring Benoit B. Mandelbrot on His 65th Birthday, Venice, France, 1989, A. Aharony and J. Feder
5. P. Meakin, Fractals, Scaling and Growth Far from Equilibrium (Cambridge University Press, Cambridge, England, 1998).
6. S. Tasaki, T. Gilbert, and J. R. Dorfman, Chaos, 8, 424 (1998).
7. H. Kröger, Phys. Rep., 323, 818 (2000).
8. M. V. Berry, J. Phys. A, 29, 6617 (1996).
9. R. Ketzmerick, Phys. Rev. B, 54, 10841 (1996).
10. G. Casati, I. Guarneri, and G. Maspero, Phys. Rev. Lett., 84, 63 (2000).
11. F. Weierstrass, Mathematische Werke II (Mayer & Muller, Berlin, 1895), pp. 71–74.
12. G. H. Hardy, Trans. AMS, 17, 301 (1916).
13. D. Wójcik, I. Białynicki-Birula, and K. Życzkowski (unpublished).
14. M. J. W. Hall, M. S. Reineker, and W. P. Schleich, J. Phys. A, 32, 8275 (1999).
15. M. Robnik and V. G. Romanovski, J. Phys. A, 33, 5093 (2000)
16. A. Voros, J. Phys. A, 32, 1301 (1999).