dorsal/arxiv
View SchemaQuantum Scattering in Strong Cylindrical Confinement
| Authors | Ji il Kim, Joerg Schmiedmayer, Peter Schmelcher |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0503196 |
| URL | https://arxiv.org/abs/quant-ph/0503196 |
Abstract
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.
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"abstract": "A Green\u0027s function formalism to analyze the scattering properties in confined\ngeometries is developed. This includes scattering from a central field inside\nthe guide created e.g. by impurities. For atomic collisions our approach\napplies to the case of parabolic confinement and, with certain restrictions,\nalso to an anharmonic one. The coupling between the angular momentum phase\nshifts $\\delta_l$ of a spherically symmetric scattering potential $V(r)$ due to\nthe cylindrical confinement is analysed. Under these general conditions, a\nbroad range of scattering energies covering many transversal excitations is\nconsidered and changes to the bound states of $V(r)$ are derived. For\ncollisions between identical atoms, the boson-fermion and fermion-boson\nmappings are demonstrated.",
"arxiv_id": "quant-ph/0503196",
"authors": [
"Ji il Kim",
"Joerg Schmiedmayer",
"Peter Schmelcher"
],
"categories": [
"quant-ph"
],
"title": "Quantum Scattering in Strong Cylindrical Confinement",
"url": "https://arxiv.org/abs/quant-ph/0503196"
},
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"variant": "snapshot-2026-03-01",
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