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Article overview
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Time evolution of quantum fractals | | D Wojcik
; I Bialynicki-Birula
; K Zyczkowski
; | | Date: |
11 Dec 2000 | | Journal: | Phys Rev Lett, 85 (24), 5022-5 | | Abstract: | We propose a general construction of wave functions of arbitrary prescribed fractal dimension, for a wide class of quantum problems, including the infinite potential well, harmonic oscillator, linear potential, and free particle. The box-counting dimension of the probability density P(t)(x) = |Psi(x,t)|(2) is shown not to change during the time evolution. We prove a universal relation D(t) = 1+Dx/2 linking the dimensions of space cross sections Dx and time cross sections D(t) of the fractal quantum carpets. | | Source: | PubMed, pmid11102177 | | Other source: | [GID 619823] quant-ph/0005060 | | Services: | Forum | Review | Favorites | |
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