Physics – Quantum Physics
Scientific paper
2005-03-24
Physics
Quantum Physics
First submission on 22 Dec.04, second on 24 Mar.04. Extended version at quant-ph/0506192
Scientific paper
A Green's function formalism to analyze the scattering properties in confined geometries is developed. This includes scattering from a central field inside the guide created e.g. by impurities. For atomic collisions our approach applies to the case of parabolic confinement and, with certain restrictions, also to an anharmonic one. The coupling between the angular momentum phase shifts $\delta_l$ of a spherically symmetric scattering potential $V(r)$ due to the cylindrical confinement is analysed. Under these general conditions, a broad range of scattering energies covering many transversal excitations is considered and changes to the bound states of $V(r)$ are derived. For collisions between identical atoms, the boson-fermion and fermion-boson mappings are demonstrated.
Kim Ji il
Schmelcher Peter
Schmiedmayer Joerg
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