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作者机构:Physikalisches Institut Universität Heidelberg Philosophenweg 12 69120 Heidelberg Germany Theoretische Chemie Institut für Physikalische Chemie Universität Heidelberg Im Neuenheimer Feld 229 69120 Heidelberg Germany
出 版 物:《Physical Review A》 (物理学评论A辑:原子、分子和光学物理学)
年 卷 期:2005年第72卷第4期
页 面:042711-042711页
核心收录:
学科分类:070207[理学-光学] 07[理学] 08[工学] 0803[工学-光学工程] 0702[理学-物理学]
主 题:TONKS-GIRARDEAU GAS IMPENETRABLE BOSONS NEUTRAL ATOMS TRAPPED GASES WAVE-GUIDES TRANSMISSION REFLECTION OBSTACLE OPTICS WIRES
摘 要:Finite-size effects not only alter the energy levels of small systems, but can also lead to additional effective interactions within these systems. Here the problem of low-energy quantum scattering by a spherically symmetric short-range potential in the presence of a general cylindrical confinement is investigated. A Green’s function formalism is developed which accounts for the full three-dimensional (3D) nature of the scattering potential by incorporating all phase shifts and their couplings. This quasi-1D geometry gives rise to scattering resonances and weakly localized states, whose binding energies and wave functions can be systematically calculated. Possible applications include, e.g., impurity scattering in ballistic quasi-1D quantum wires in mesoscopic systems and in atomic matter-wave guides. In the particular case of parabolic confinement, the present formalism can also be applied to pair collision processes such as two-body interactions. Weakly bound pairs and quasimolecules induced by the confinement and having zero or higher orbital angular momentum can be predicted, such as p- and d-wave pairings.