Browse:

The university is member of the Confederation of Open Access Repositories (COAR)

More information about Open Acces at open-acces.net

Localization of a pair of bound particles in a random potential

Turek, Marko and John, W. (2003) Localization of a pair of bound particles in a random potential. Physica E 18 (4), pp. 530-540.

PDF - Repository staff only - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
180Kb

Other URL: http://dx.doi.org/10.1016/S1386-9477(03)00267-4

Abstract

We study the localization length ${\it l$_{c}$}$ 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 ${\it N}$ the localization length is proportional to ${\it N}$ , 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 ${\it l$_{c}$}$ depends sensitively on the shape of the interaction potential and the symmetry of the bound state wave functions.