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  • 1
    Electronic Resource
    Electronic Resource
    Spectral properties of disordered systems in the one-body approximation (1980)
    Springer
    Communications in mathematical physics 75 (1980), S. 179-196 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The paper considers the Schrödinger equation for a single particle and its discrete analogues. Assuming that the coefficients of these equations are homogeneous and ergodic random fields, it is proved that the spectra of corresponding random operators and their point spectra are dense with probability 1 and that in the one-dimensional case they have no absolutely continuous component. Rather wide sufficient conditions of exponential growth of the Cauchy solutions of the one-dimensional equations considered are found.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01222516
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