✦ LIBER ✦

Localization of a pair of bound particles in a random potential

✍ Scribed by M. Turek; W. John

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 180 KB
Volume: 18
Category: Article
ISSN: 1386-9477
DOI: 10.1016/s1386-9477(03)00267-4

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✦ Synopsis

We study the localization length lc of a pair of two attractively bound particles moving in a one-dimensional random potential. We show in which way it depends on the interaction potential between the constituents of this composite particle. For a pair with many bound states N the localization length is proportional to N , independently of the form of the two particle interaction. For the case of two bound states, we present an exact solution for the corresponding Fokker-Planck equation and demonstrate that lc depends sensitively on the shape of the interaction potential and the symmetry of the bound state wave functions.

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